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| Meta Title | Hydrostatic Pressure: Definition, Unit, Formula, Derivation, Uses |
| Meta Description | Hydrostatic pressure is the pressure created by a fluid at rest due to gravity. Its unit is Pascal. Learn its formula, derivation, applications with solved examples |
| Meta Canonical | null |
| Boilerpipe Text | The physical force which is exerted on an item is known as pressure.
Fluid flow
is frequently addressed in terms of flow rates or forces, as obtained from the equations of
fluid dynamics
. However, because it assists the development of many mechanical components, we sometimes like to consider flows in perspective of the force they exert on a moving body. Hydrostatic pressure and hydrodynamic pressure are the two forms of
pressure
that can exist in any fluid, with the latter relating to the flow properties of the fluid when in motion.
In this article, we will look at hydrostatic pressure, its formula, the difference between hydrostatic pressure and osmotic pressure, and its application along with a few solved examples.
What is Hydrostatic Pressure?
Hydrostatic pressure is the pressure created by a fluid at rest due to gravity. It’s the kind of pressure you feel when plunging to the bottom of a pool. Hydrostatic pressure affects all fluids, including liquids and gasses because fluid is any material that can flow and change form. A hydrostatic fluid is not in action. As a result, hydrostatic pressure refers to the pressure inside a non-moving fluid, as compared to pressure exerted by, say, water from a fire hose.
This is the pressure caused by the fluid’s weight, or rather by the force of gravity pressing on the fluid. This indicates that fluid will exert force on an item based on its depth in the fluid, independent of its velocity. The definition of hydrostatic pressure is straightforward, based on the depth beneath the fluid surface h, gravity’s acceleration g, and fluid density
ρ
.
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The unit of hydrostatic pressure is pascal (Pa). It is named after Blaise Pascal, a French mathematician and physicist who studied the behaviour of fluids.
The pascal is defined as one newton per square meter (
N
/
m
2
). It is also equal to one kilogram per meter per second squared (
k
g
/
(
m
s
2
)
).
Other units of hydrostatic pressure include:
Bar: 1 bar = 100,000 Pa
Atmosphere (atm): 1 atm = 101,325 Pa
Pound per square inch (psi): 1 psi = 6,894.75729 Pa
Head of water: 1 foot of head of water = 2,985.9 Pa
Hydrostatic Pressure Formula
The formula for hydrostatic pressure is
p
=
ρ
×
g
×
h
Where,
p = the pressure exerted by the liquid in
N
.
m
2
, Pa
ρ = the density of the liquid in
k
g
.
m
3
g = the acceleration due to gravity =
9.81
m
s
2
h = the height of the fluid column in m
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Derivation of Hydrostatic Pressure Formula
Consider a column of water with a total volume of V and a base surface area of A.
The water’s weight is:
W
=
m
×
g
We know that the density of water multiplied by volume equals the mass of water. Therefore,
W
=
ρ
×
V
×
g
The product of surface area and height is volume. Therefore,
V
=
A
×
h
Thus,
W
=
ρ
×
A
×
h
×
g
Using the pressure formula:
p
=
F
A
Therefore,
p
=
(
ρ
×
A
×
h
×
g
)
A
Thus,
p
=
ρ
×
h
×
g
Difference between Hydrostatic pressure and Osmotic pressure
The differences between hydrostatic pressure and osmotic pressure have been discussed below.
Sr. no.
Hydrostatic Pressure
Osmotic Pressure
1.
Hydrostatic pressure is the pressure that occurs due to gravity.
Osmotic pressure
is the pressure due to the osmosis process of the solution.
2.
It is observed in non-flowing solutions.
It is observed in flowing solutions.
3.
It occurs in a pure and homogeneous solution.
It occurs only in a pure solution.
4.
A semipermeable membrane is not involved in this process.
A semipermeable membrane is involved in this process.
5.
The pressure is different in different parts of the solution.
The pressure is the same in every part of the solution.
Application of Hydrostatic Pressure
The concept of hydrostatic pressure is employed in real-life applications. Some of them are given below.
Water may be driven into lower-lying residences without the use of extra pumps due to the consequent hydrostatic pressure.
The water level in the tower lowers very slowly due to the vast water reservoir, which is normally several million litres.
Many sites in everyday life demonstrate that hydrostatic pressure simply depends on depth. It is also the reason why the same water level is seen in all vessels linked by pipes.
Solved Examples on Hydrostatic Pressure
Example 1
. What is the pressure acting on the water at a depth of 2m and a temperature of 4°C?
Solution: The depth of the water column is 2 meters.
At 4°C, the density of water is
1000
k
g
/
m
3
The formula is as follows:
p
=
ρ
g
h
Therefore,
Pressure= 1000×9.81×2 = 19,620 Pa
Example 2
. What is the pressure operating on the water at a depth of one foot at 32°F?
Solution: The depth of the water column is 1 foot.
Water density at 32°F = 1.940
Height = 1 foot
The formula is as follows:
p
=
ρ
g
h
Pressure= 1.940×1 = 1.940 Pa
Hydrostatic Pressure FAQs
What is hydrostatic pressure?
The pressure exerted by a fluid in equilibrium at any moment in time owing to gravity's force is hydrostatic pressure.
How to calculate hydrostatic pressure in a well?
Hydrostatic pressure in a well by formula,
p
=
ρ
×
h
×
g
How do you get rid of hydrostatic pressure?
There are different ways to get rid of hydrostatic pressure which includes enhancing the drainage system, investing in good waterproofing services, installing drains around the house, etc.
What causes hydrostatic pressure?
The force created by standing or resting fluid is the cause of hydrostatic pressure.
Why is hydrostatic pressure important?
We rely on hydrostatic pressure to keep your lungs inflated and the water in your body from evaporating. Thus to keep us safe hydrostatic force is important.
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[Home](https://testbook.com/physics/hydrostatic-pressure) [Physics](https://testbook.com/physics/physics)
Hydrostatic Pressure

# Hydrostatic Pressure: Know Definition, Unit, Formula, Derivation, Applications & Solved Examples
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Overview
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The physical force which is exerted on an item is known as pressure. [Fluid flow](https://testbook.com/physics/fluid-flow) is frequently addressed in terms of flow rates or forces, as obtained from the equations of [fluid dynamics](https://testbook.com/physics/fluid-dynamics). However, because it assists the development of many mechanical components, we sometimes like to consider flows in perspective of the force they exert on a moving body. Hydrostatic pressure and hydrodynamic pressure are the two forms of [pressure](https://testbook.com/physics/pressure) that can exist in any fluid, with the latter relating to the flow properties of the fluid when in motion.
In this article, we will look at hydrostatic pressure, its formula, the difference between hydrostatic pressure and osmotic pressure, and its application along with a few solved examples.
## What is Hydrostatic Pressure?
Hydrostatic pressure is the pressure created by a fluid at rest due to gravity. It’s the kind of pressure you feel when plunging to the bottom of a pool. Hydrostatic pressure affects all fluids, including liquids and gasses because fluid is any material that can flow and change form. A hydrostatic fluid is not in action. As a result, hydrostatic pressure refers to the pressure inside a non-moving fluid, as compared to pressure exerted by, say, water from a fire hose.
This is the pressure caused by the fluid’s weight, or rather by the force of gravity pressing on the fluid. This indicates that fluid will exert force on an item based on its depth in the fluid, independent of its velocity. The definition of hydrostatic pressure is straightforward, based on the depth beneath the fluid surface h, gravity’s acceleration g, and fluid density ρ ρ.
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## Unit of Hydrostatic Pressure
The unit of hydrostatic pressure is pascal (Pa). It is named after Blaise Pascal, a French mathematician and physicist who studied the behaviour of fluids.
The pascal is defined as one newton per square meter (N/m2 N / m 2). It is also equal to one kilogram per meter per second squared (kg/(ms2) k g / ( m s 2 )).
Other units of hydrostatic pressure include:
- Bar: 1 bar = 100,000 Pa
- Atmosphere (atm): 1 atm = 101,325 Pa
- Pound per square inch (psi): 1 psi = 6,894.75729 Pa
- Head of water: 1 foot of head of water = 2,985.9 Pa
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## Hydrostatic Pressure Formula
The formula for hydrostatic pressure is
p\=ρ×g×h p \= ρ × g × h
Where,
p = the pressure exerted by the liquid in N.m2 N . m 2, Pa
ρ = the density of the liquid in kg.m3 k g . m 3
g = the acceleration due to gravity = 9\.81ms2 9\.81 m s 2
h = the height of the fluid column in m
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## Derivation of Hydrostatic Pressure Formula
Consider a column of water with a total volume of V and a base surface area of A.
The water’s weight is: W\=m×g W \= m × g
We know that the density of water multiplied by volume equals the mass of water. Therefore,
W\=ρ×V×g W \= ρ × V × g
The product of surface area and height is volume. Therefore,
V\= A×h V \= A × h
Thus,
W\=ρ×A×h×g W \= ρ × A × h × g
Using the pressure formula:
p\=FA p \= F A
Therefore,
p\=(ρ×A×h×g)A p \= ( ρ × A × h × g ) A
Thus,
p\=ρ×h×g p \= ρ × h × g
## Difference between Hydrostatic pressure and Osmotic pressure
The differences between hydrostatic pressure and osmotic pressure have been discussed below.
| | | |
|---|---|---|
| **Sr. no.** | **Hydrostatic Pressure** | **Osmotic Pressure** |
| 1\. | Hydrostatic pressure is the pressure that occurs due to gravity. | [Osmotic pressure](https://testbook.com/chemistry/osmotic-pressure) is the pressure due to the osmosis process of the solution. |
| 2\. | It is observed in non-flowing solutions. | It is observed in flowing solutions. |
| 3\. | It occurs in a pure and homogeneous solution. | It occurs only in a pure solution. |
| 4\. | A semipermeable membrane is not involved in this process. | A semipermeable membrane is involved in this process. |
| 5\. | The pressure is different in different parts of the solution. | The pressure is the same in every part of the solution. |
## Application of Hydrostatic Pressure
The concept of hydrostatic pressure is employed in real-life applications. Some of them are given below.
- Water may be driven into lower-lying residences without the use of extra pumps due to the consequent hydrostatic pressure.
- The water level in the tower lowers very slowly due to the vast water reservoir, which is normally several million litres.
- Many sites in everyday life demonstrate that hydrostatic pressure simply depends on depth. It is also the reason why the same water level is seen in all vessels linked by pipes.
## Solved Examples on Hydrostatic Pressure
**Example 1**. What is the pressure acting on the water at a depth of 2m and a temperature of 4°C?
Solution: The depth of the water column is 2 meters.
At 4°C, the density of water is 1000kg/m3 1000 k g / m 3
The formula is as follows: p\=ρgh p \= ρ g h
Therefore,
Pressure= 1000×9.81×2 = 19,620 Pa
**Example 2**. What is the pressure operating on the water at a depth of one foot at 32°F?
Solution: The depth of the water column is 1 foot.
Water density at 32°F = 1.940
Height = 1 foot
The formula is as follows: p\=ρgh p \= ρ g h
Pressure= 1.940×1 = 1.940 Pa
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## Hydrostatic Pressure FAQs
### What is hydrostatic pressure?
The pressure exerted by a fluid in equilibrium at any moment in time owing to gravity's force is hydrostatic pressure.
### How to calculate hydrostatic pressure in a well?
Hydrostatic pressure in a well by formula,
p\=ρ×h×g
p
\=
ρ
×
h
×
g
### How do you get rid of hydrostatic pressure?
There are different ways to get rid of hydrostatic pressure which includes enhancing the drainage system, investing in good waterproofing services, installing drains around the house, etc.
### What causes hydrostatic pressure?
The force created by standing or resting fluid is the cause of hydrostatic pressure.
### Why is hydrostatic pressure important?
We rely on hydrostatic pressure to keep your lungs inflated and the water in your body from evaporating. Thus to keep us safe hydrostatic force is important.
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Important Links
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- [Relation Between Pressure and Density](https://testbook.com/physics/relation-between-pressure-and-density)
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- [Gauge](https://testbook.com/physics/gauge)
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- [Terminal Velocity](https://testbook.com/physics/terminal-velocity)
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- [Types of Pressure](https://testbook.com/physics/types-of-pressure)
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- [Pressure](https://testbook.com/physics/pressure)
- [Sphygmomanometer](https://testbook.com/physics/sphygmomanometer)
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- [Dynamic Lift](https://testbook.com/physics/dynamic-lift)
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[SSC CPO Previous Year Papers](https://testbook.com/ssc-cpo/previous-year-papers)[SSC Stenographer Previous Year Papers](https://testbook.com/ssc-stenographer/previous-year-papers)[RRB Technician Previous Year Papers](https://testbook.com/rrb-technician/previous-year-papers)[RRB JE Previous Year Papers](https://testbook.com/rrb-je/previous-year-papers)[MPSC Prevoius Year Papers](https://testbook.com/mpsc-state-service/previous-year-papers)[AAI Junior Assistant Previous Year Papers](https://testbook.com/aai-junior-assistant/previous-year-papers)[CSIR Junior Secretariat Assistant Previous Year Papers](https://testbook.com/csir-junior-secretariat-assistant/previous-year-papers)[FCI Je Previous Year Papers](https://testbook.com/fci-je/previous-year-papers)[NIELIT Scientist B Previous Year Papers](https://testbook.com/nielit-scientist-b/previous-year-papers)[MPPSC Exam Previous Year Papers](https://testbook.com/mppsc-state-service/previous-year-papers)[TSPSC Group 1 Previous Year Papers](https://testbook.com/tspsc-group-1/previous-year-papers)[CUET PG Previous Year Papers](https://testbook.com/cuet-pg/previous-year-papers)[JEECUP Previous Year Papers](https://testbook.com/up-polytechnic-jeecup/previous-year-papers)[MAH MBA CET Previous Year Papers](https://testbook.com/mah-cet-mba/previous-year-papers)[BHEL Engineer Trainee Previous Year Papers](https://testbook.com/bhel-engineer-trainee/previous-year-papers)[Mahatransco AE Previous Year Papers](https://testbook.com/mahatransco-ae/previous-year-papers)[TSGENCO AE Previous Year Papers](https://testbook.com/tsgenco-ae/previous-year-papers)
Syllabus
[SSC CGL Syllabus](https://testbook.com/ssc-cgl-exam/syllabus)[SSC MTS Syllabus](https://testbook.com/ssc-mts/syllabus-exam-pattern)[RRB NTPC Syllabus](https://testbook.com/rrb-ntpc/syllabus)[SSC JE Syllabus](https://testbook.com/ssc-je/syllabus)[JEE Main Syllabus](https://testbook.com/jee-main/syllabus)[NIFT Syllabus](https://testbook.com/nift-exam/syllabus)[AAI Junior Assistant Syllabus](https://testbook.com/aai-junior-assistant/syllabus-exam-pattern)[CSIR Junior Secretariat Assistant Syllabus](https://testbook.com/csir-junior-secretariat-assistant/syllabus-exam-pattern)[FCI Syllabus](https://testbook.com/fci/syllabus)[FCI Stenographer Syllabus](https://testbook.com/fci-stenographer/syllabus-exam-pattern)[NIELIT Scientist B Syllabus](https://testbook.com/nielit-scientist-b/syllabus-exam-pattern)[AAI ATC Syllabus](https://testbook.com/aai-je-atc/syllabus-exam-pattern)[BPSC AE Syllabus](https://testbook.com/bpsc-ae/syllabus-exam-pattern)[RSMSSB Junior Engineer Syllabus](https://testbook.com/rsmssb-junior-engineer/syllabus-exam-pattern)[CUET Accountancy Book Keeping Syllabus](https://testbook.com/cuet/accountancy-book-keeping-syllabus)[CUET Ba Syllabus](https://testbook.com/cuet/ba-syllabus-exam-pattern)[CUET Business Economics Syllabus](https://testbook.com/cuet/business-economics-syllabus)[CUET Computer Science Syllabus](https://testbook.com/cuet/computer-science-syllabus)[CUET Environmental Studies Syllabus](https://testbook.com/cuet/environmental-studies-syllabus)[CUET Commerce Syllabus](https://testbook.com/cuet/commerce-syllabus)[CUET Hindi Syllabus](https://testbook.com/cuet/hindi-syllabus-exam-pattern)[CUET Malayalam Syllabus](https://testbook.com/cuet/malayalam-syllabus-exam-pattern)[CUET Physical Education Syllabus](https://testbook.com/cuet/physical-education-syllabus)[CUET Sanskrit Syllabus](https://testbook.com/cuet/sanskrit-syllabus)[BPSC Exam Syllabus](https://testbook.com/bpsc-exam/syllabus-exam-pattern)[JKPSC KAS Syllabus](https://testbook.com/jkpsc-kas/syllabus-exam-pattern)[OPSC OAS Syllabus](https://testbook.com/opsc-oas/syllabus-exam-pattern)[WBCS Exam Syllabus](https://testbook.com/wbcs/syllabus-exam-pattern)[TSPSC Group 1 Syllabus](https://testbook.com/tspsc-group-1/syllabus-exam-pattern)[BPSC Exam Syllabus](https://testbook.com/bpsc-exam/syllabus-exam-pattern)
[SSC CHSL Syllabus](https://testbook.com/ssc-chsl/syllabus)[SSC Stenographer Syllabus](https://testbook.com/ssc-stenographer/syllabus-exam-pattern)[RRB Technician Syllabus](https://testbook.com/rrb-technician/syllabus-exam-pattern)[RRB JE Syllabus](https://testbook.com/rrb-je/syllabus)[JEE Advanced Syllabus](https://testbook.com/jee-advanced/syllabus)[WB JEE Syllabus](https://testbook.com/wb-jee/syllabus-exam-pattern)[AIIMS CRE Syllabus](https://testbook.com/aiims-cre/syllabus-exam-pattern)[CSIR Npl Technician Syllabus](https://testbook.com/csir-npl-technician/syllabus-exam-pattern)[FCI Grade 3 Syllabus](https://testbook.com/fci-grade-3/syllabus-exam-pattern)[FCI Typist Syllabus](https://testbook.com/fci-typist/syllabus-exam-pattern)[CUET Maths Syllabus](https://testbook.com/cuet/mathematics-syllabus)[BHEL Engineer Trainee Syllabus](https://testbook.com/bhel-engineer-trainee/salary-job-profile)[MP Vyapam Sub Engineer Syllabus](https://testbook.com/mp-vyapam-sub-engineer/syllabus-exam-pattern)[TSGENCO AE Syllabus](https://testbook.com/tsgenco-ae/syllabus-exam-pattern)[CUET Agriculture Syllabus](https://testbook.com/cuet/agriculture-syllabus)[CUET BCA Syllabus](https://testbook.com/cuet/bca-syllabus-exam-pattern)[CUET Business Studies Syllabus](https://testbook.com/cuet/business-studies-syllabus)[CUET Engineering Graphics Syllabus](https://testbook.com/cuet/engineering-graphics-syllabus)[CUET Fine Arts Syllabus](https://testbook.com/cuet/fine-arts-syllabus)[CUET Geography Syllabus](https://testbook.com/cuet/geography-syllabus)[CUET History Syllabus](https://testbook.com/cuet/history-syllabus)[CUET Marathi Syllabus](https://testbook.com/cuet/marathi-syllabus-exam-pattern)[CUET Political Science Syllabus](https://testbook.com/cuet/political-science-syllabus)[CUET Sociology Syllabus](https://testbook.com/cuet/sociology-syllabus)[CGPSC Syllabus](https://testbook.com/cgpsc/syllabus)[Kerala PSC KAS Syllabus](https://testbook.com/kerala-psc-kas/syllabus-exam-pattern)[RPSC RAS Syllabus](https://testbook.com/rpsc-ras/syllabus)[HPPSC HPAS Syllabus](https://testbook.com/hppsc-hpas/syllabus-exam-pattern)[UKPSC Upper PCS Syllabus](https://testbook.com/ukpsc-combined-upper-subordinate-service/syllabus-exam-pattern)[CGPSC Syllabus](https://testbook.com/cgpsc/syllabus)
[SSC CPO Syllabus](https://testbook.com/ssc-cpo/syllabus)[RRB Group D Syllabus](https://testbook.com/rrb-group-d/syllabus)[RPF Constable Syllabus](https://testbook.com/rpf-constable/syllabus-exam-pattern)[CUET Syllabus](https://testbook.com/cuet/exam-syllabus)[JEECUP Syllabus](https://testbook.com/up-polytechnic-jeecup/syllabus-exam-pattern)[GUJCET Syllabus](https://testbook.com/gujcet/syllabus)[CBSE Assistant Secretary Syllabus](https://testbook.com/cbse-assistant-secretary/syllabus-exam-pattern)[CWC Junior Superintendent Syllabus](https://testbook.com/cwc-junior-superintendent/syllabus-exam-pattern)[FCI Je Syllabus](https://testbook.com/fci-je/syllabus-exam-pattern)[FCI Watchman Syllabus](https://testbook.com/fci-watchman/syllabus-exam-pattern)[CUET Physics Syllabus](https://testbook.com/cuet/physics-syllabus)[Mahagenco Technician Syllabus](https://testbook.com/mahagenco-technician/syllabus-exam-pattern)[MPPSC AE Syllabus](https://testbook.com/mppsc-ae/syllabus-exam-pattern)[UPPSC AE Syllabus](https://testbook.com/uppsc-ae/syllabus)[CUET Anthropology Syllabus](https://testbook.com/cuet/anthropology-syllabus)[CUET Bengali Syllabus](https://testbook.com/cuet/bengali-syllabus-exam-pattern)[CUET Chemistry Syllabus](https://testbook.com/cuet/chemistry-syllabus)[CUET English Syllabus](https://testbook.com/cuet/english-syllabus-exam-pattern)[CUET French Syllabus](https://testbook.com/cuet/french-syllabus-exam-pattern)[CUET German Syllabus](https://testbook.com/cuet/german-syllabus-exam-pattern)[CUET Home Science Syllabus](https://testbook.com/cuet/home-science-syllabus)[CUET Mass Media Syllabus](https://testbook.com/cuet/mass-media-syllabus)[CUET Psychology Syllabus](https://testbook.com/cuet/psychology-syllabus)[CUET Teaching Aptitude Syllabus](https://testbook.com/cuet/teaching-aptitude-syllabus)[GPSC Class 1 2 Syllabus](https://testbook.com/gpsc-class-1-2/syllabus-exam-pattern)[KPSC KAS Syllabus](https://testbook.com/kpsc-kas/syllabus-exam-pattern)[TNPSC Group 1 Syllabus](https://testbook.com/tnpsc-group-1/syllabus-exam-pattern)[MPPSC Forest Services Syllabus](https://testbook.com/mppsc-forest-service/syllabus-exam-pattern)[UKPSC Lower PCS Syllabus](https://testbook.com/ukpsc-lower-pcs/syllabus-exam-pattern)
[SSC GD Constable Syllabus](https://testbook.com/ssc-gd-constable/syllabus-exam-pattern)[RRB ALP Syllabus](https://testbook.com/rrb-alp/syllabus-exam-pattern)[RPF SI Syllabus](https://testbook.com/rpf-si/syllabus-exam-pattern)[NEET Syllabus](https://testbook.com/neet/syllabus)[MHT CET Syllabus](https://testbook.com/mht-cet/syllabus)[CUET Commerce Syllabus](https://testbook.com/cuet/commerce-syllabus)[CBSE Junior Assistant Syllabus](https://testbook.com/cbse-junior-assistant/syllabus-exam-pattern)[EPFO Personal Assistant Syllabus](https://testbook.com/epfo-personal-assistant/syllabus-exam-pattern)[FCI Manager Syllabus](https://testbook.com/fci-manager/syllabus-exam-pattern)[FSSAI Personal Assistant Syllabus](https://testbook.com/fssai-personal-assistant/syllabus-exam-pattern)[CUET Biology Syllabus](https://testbook.com/cuet/biology-syllabus)[BMC JE Syllabus](https://testbook.com/bmc-je/syllabus-exam-pattern)[PGCIL Diploma Trainee Syllabus](https://testbook.com/pgcil-diploma-trainee/syllabus-exam-pattern)[UPSC IES Syllabus](https://testbook.com/upsc-ies/syllabus)[CUET Assamese Syllabus](https://testbook.com/cuet/assamese-syllabus-exam-pattern)[CUET Bsc Syllabus](https://testbook.com/cuet/bsc-syllabus-exam-pattern)[CUET Commerce Syllabus](https://testbook.com/cuet/commerce-syllabus)[CUET Entrepreneurship Syllabus](https://testbook.com/cuet/entrepreneurship-syllabus)[CUET General Test Syllabus](https://testbook.com/cuet/general-test-syllabus)[CUET Gujarati Syllabus](https://testbook.com/cuet/gujarati-syllabus-exam-pattern)[CUET Legal Studies Syllabus](https://testbook.com/cuet/legal-studies-syllabus)[CUET Odia Syllabus](https://testbook.com/cuet/odia-syllabus-exam-pattern)[CUET Punjabi Syllabus](https://testbook.com/cuet/punjabi-syllabus-exam-pattern)[APPSC Group 1 Syllabus](https://testbook.com/appsc-group-1/syllabus-exam-pattern)[HPSC HCS Syllabus](https://testbook.com/haryana-civil-services/syllabus-exam-pattern)[MPPSC Exam Syllabus](https://testbook.com/mppsc-state-service/syllabus-exam-pattern)[UPPCS Exam Syllabus](https://testbook.com/uppcs/syllabus-exam-pattern)[MPSC Rajyaseva Syllabus](https://testbook.com/mpsc-state-service/syllabus-exam-pattern)[APPSC Group 1 Syllabus](https://testbook.com/appsc-group-1/syllabus-exam-pattern)
Board Exams
[Haryana Board](https://testbook.com/hbse-class-12th)[Gujarat Board](https://testbook.com/gseb-class-12)[Maharashtra Board](https://testbook.com/maharashtra-hsc-exam)[Telangana Board](https://testbook.com/ts-intermediate)
[AP Board](https://testbook.com/ap-inter-2nd-year)[ICSE](https://testbook.com/isc-class-12)[Madhya Pradesh Board](https://testbook.com/mp-board-12th)[Uttar Pradesh Board](https://testbook.com/up-board-class-12)
[Bihar Board](https://testbook.com/bihar-board-12th)[Jharkhand Board](https://testbook.com/jac-class-12)[Punjab Board](https://testbook.com/pseb-class-12)[West Bengal Board](https://testbook.com/wbchse-class-12)
[CBSE](https://testbook.com/cbse-class-12)[Karnataka Board](https://testbook.com/karnataka-2nd-puc)[Rajasthan Board](https://testbook.com/rbse-class-12)
Coaching
[SSC CGL Coaching](https://testbook.com/ssc-cgl-coaching)[SSC GD Constable Coaching](https://testbook.com/ssc-gd-coaching)[RRB ALP Coaching](https://testbook.com/rrb-alp-coaching)[RPF SI Coaching](https://testbook.com/rpf-constable-and-si-coaching)
[SSC CHSL Coaching](https://testbook.com/ssc-chsl-coaching)[SSC CPO Coaching](https://testbook.com/ssc-cpo-coaching)[RRB NTPC Coaching](https://testbook.com/rrb-ntpc1-coaching)[SSC JE Coaching](https://testbook.com/ssc-je-civil-2025-coaching)
[SSC CPO Coaching](https://testbook.com/ssc-cpo-coaching)[SSC Stenographer Coaching](https://testbook.com/ssc-stenographer-coaching)[RRB Technician Grade 1 Coaching](https://testbook.com/rrb-technician-grade-1-signal-coaching)[RRB JE Coaching](https://testbook.com/rrb-je-civil-engineering-coaching)
[SSC MTS Coaching](https://testbook.com/ssc-mts-coaching)[RRB Group D Coaching](https://testbook.com/rrb-groupd-coaching)[RPF Constable Coaching](https://testbook.com/rpf-constable-and-si-coaching)
Eligibility
[SSC CGL Eligibility](https://testbook.com/ssc-cgl-exam/eligibility-criteria)[SSC GD Constable Eligibility](https://testbook.com/ssc-gd-constable/eligibility-criteria)[RRB ALP Eligibility](https://testbook.com/rrb-alp/eligibility-criteria)[RPF SI Eligibility](https://testbook.com/rpf-si/eligibility-criteria)[BPSC Exam Eligibility](https://testbook.com/bpsc-exam/eligibility-criteria)[JKPSC KAS Eligibility](https://testbook.com/jkpsc-kas/eligibility-criteria)[OPSC OAS Eligibility](https://testbook.com/opsc-oas/eligibility-criteria)[WBCS Exam Eligibility](https://testbook.com/wbcs/eligibility-criteria)[TSPSC Group 1 Eligibility](https://testbook.com/tspsc-group-1/eligibility-criteria)[AIIMS CRE Eligibility](https://testbook.com/aiims-cre/eligibility-criteria)[CBSE Junior Assistant Eligibility](https://testbook.com/cbse-junior-assistant/eligibility-criteria)[FCI Assistant Grade 3 Eligibility](https://testbook.com/fci-grade-3/eligibility-criteria)[EPFO Personal Assistant Eligibility](https://testbook.com/epfo-personal-assistant/eligibility-criteria)[NEET Eligibility](https://testbook.com/neet/eligibility-criteria)[MHT CET Eligibility](https://testbook.com/mht-cet/eligibility-criteria)[NCHMCT JEE Eligibility](https://testbook.com/nchmct-jee-exam/eligibility-criteria)[BPSC AE Eligibility](https://testbook.com/bpsc-ae/eligibility-criteria)[MPPSC AE Eligibility](https://testbook.com/mppsc-ae/eligibility-criteria)[TSGENCO AE Eligibility](https://testbook.com/tsgenco-ae/eligibility-criteria)[CMAT Eligibility](https://testbook.com/cmat-exam/eligibility-criteria)[ATMA Eligibility](https://testbook.com/atma-exam/eligibility-criteria)
[SSC CHSL Eligibility](https://testbook.com/ssc-chsl/eligibility-criteria)[SSC CPO Eligibility](https://testbook.com/ssc-cpo/eligibility-criteria)[RRB NTPC Eligibility](https://testbook.com/rrb-ntpc/eligibility-criteria)[RRB JE Eligibility](https://testbook.com/rrb-je/eligibility-criteria)[CGPSC Eligibility](https://testbook.com/cgpsc/eligibility-criteria)[Kerala PSC KAS Eligibility](https://testbook.com/kerala-psc-kas/eligibility-criteria)[RPSC RAS Eligibility](https://testbook.com/rpsc-ras/eligibility-criteria)[HPPSC HPAS Eligibility](https://testbook.com/hppsc-hpas/eligibility-criteria)[UKPSC Combined Upper Subordinate Services Eligibility](https://testbook.com/ukpsc-combined-upper-subordinate-service/eligibility-criteria)[CWC Junior Superintendent Eligibility](https://testbook.com/cwc-junior-superintendent/eligibility-criteria)[FCI Stenographer Eligibility](https://testbook.com/fci-stenographer/eligibility-criteria)[NIELIT Scientist B Eligibility](https://testbook.com/nielit-scientist-b/eligibility-criteria)[CBSE Assistant Secretary Eligibility](https://testbook.com/cbse-assistant-secretary/eligibility)[JEE Main Eligibility](https://testbook.com/jee-main/eligibility-criteria)[WBJEE Eligibility](https://testbook.com/wb-jee/eligibility-criteria)[AAI ATC Eligibility](https://testbook.com/aai-je-atc/eligibility-criteria)[ISRO Scientist Eligibility](https://testbook.com/isro-scientist/eligibility-criteria)[Mahatransco Technician Eligibility](https://testbook.com/mahatransco-technician/eligibility-criteria)[UPPSC AE Eligibility](https://testbook.com/uppsc-ae/eligibility-criteria)[MAH MBA CET Eligibility](https://testbook.com/mah-cet-mba/eligibility-criteria)[NMAT Eligibility](https://testbook.com/nmat-exam/eligibility-criteria)
[SSC CPO Eligibility](https://testbook.com/ssc-cpo/eligibility-criteria)[SSC Stenographer Eligibility](https://testbook.com/ssc-stenographer/eligibility-criteria)[RRB Technician Eligibility](https://testbook.com/rrb-technician/eligibility-criteria)[SSC JE Eligibility](https://testbook.com/ssc-je/eligibility-criteria)[GPSC Class 1 2 Eligibility](https://testbook.com/gpsc-class-1-2/eligibility-criteria)[KPSC KAS Eligibility](https://testbook.com/kpsc-kas/eligibility-criteria)[TNPSC Group 1 Eligibility](https://testbook.com/tnpsc-group-1/eligibility-criteria)[MPPSC Forest Services Eligibility](https://testbook.com/mppsc-forest-service/eligibility-criteria)[UKPSC Lower PCS Eligibility](https://testbook.com/ukpsc-lower-pcs/eligibility-criteria)[FCI Manager Eligibility](https://testbook.com/fci-manager/eligibility-criteria)[FCI Typist Eligibility](https://testbook.com/fci-typist/eligibility-criteria)[CSIR NPL Technician Eligibility](https://testbook.com/csir-npl-technician/eligibility-criteria)[CBSE Junior Assistant Eligibility](https://testbook.com/cbse-junior-assistant/eligibility-criteria)[JEE Advance Eligibility](https://testbook.com/jee-advanced/eligibility-criteria)[AP EAMCET Eligibility](https://testbook.com/ap-eapcet/eligibility-criteria)[BHEL Engineer Trainee Eligibility](https://testbook.com/bhel-engineer-trainee/eligibility-criteria)[Mahatransco AE Eligibility](https://testbook.com/mahatransco-ae/eligibility-criteria)[PGCIL Diploma Trainee Eligibility](https://testbook.com/pgcil-diploma-trainee/eligibility-criteria)[UPSC IES Eligibility](https://testbook.com/upsc-ies/eligibility-criteria)[TANCET Eligibility](https://testbook.com/tancet/eligibility-criteria)
[SSC MTS Eligibility](https://testbook.com/ssc-mts/eligibility-criteria)[RRB Group D Eligibility](https://testbook.com/rrb-group-d/eligibility-criteria)[RPF Constable Eligibility](https://testbook.com/rpf-constable/eligibility-criteria)[APPSC Group 1 Eligibility](https://testbook.com/appsc-group-1/eligibility-criteria)[HPSC HCS Eligibility](https://testbook.com/haryana-civil-services/eligibility-criteria)[MPPSC Exam Eligibility](https://testbook.com/mppsc-state-service/eligibility-criteria)[UPPCS Exam Eligibility](https://testbook.com/uppcs/eligibility-criteria)[MPSC State Service Eligibility](https://testbook.com/mpsc-state-service/eligibility-criteria)[CUET UG Eligibility](https://testbook.com/cuet/eligibility-criteria)[FCI Eligibility](https://testbook.com/fci/eligibility-criteria)[FCI Watchman Eligibility](https://testbook.com/fci-watchman/eligibility-criteria)[AAI Junior Assistant Eligibility](https://testbook.com/aai-junior-assistant/eligibility-criteria)[CUET PG Eligibility](https://testbook.com/cuet-pg/eligibility-criteria)[JEECUP Eligibility](https://testbook.com/up-polytechnic-jeecup/eligibility-criteria)[IIT JAM Eligibility](https://testbook.com/iit-jam/eligibility-criteria)[BMC JE Eligibility](https://testbook.com/bmc-je/eligibility)[MP Vyapam Sub Engineer Eligibility](https://testbook.com/mp-vyapam-sub-engineer/eligibility-criteria)[RSMSSB Junior Engineer Eligibility](https://testbook.com/rsmssb-junior-engineer/eligibility-criteria)[CAT Eligibility](https://testbook.com/cat-exam/eligibility-criteria)[TISSNET Eligibility](https://testbook.com/tissnet-exam/eligibility-criteria)
Cut Off
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| Readable Markdown | The physical force which is exerted on an item is known as pressure. [Fluid flow](https://testbook.com/physics/fluid-flow) is frequently addressed in terms of flow rates or forces, as obtained from the equations of [fluid dynamics](https://testbook.com/physics/fluid-dynamics). However, because it assists the development of many mechanical components, we sometimes like to consider flows in perspective of the force they exert on a moving body. Hydrostatic pressure and hydrodynamic pressure are the two forms of [pressure](https://testbook.com/physics/pressure) that can exist in any fluid, with the latter relating to the flow properties of the fluid when in motion.
In this article, we will look at hydrostatic pressure, its formula, the difference between hydrostatic pressure and osmotic pressure, and its application along with a few solved examples.
## What is Hydrostatic Pressure?
Hydrostatic pressure is the pressure created by a fluid at rest due to gravity. It’s the kind of pressure you feel when plunging to the bottom of a pool. Hydrostatic pressure affects all fluids, including liquids and gasses because fluid is any material that can flow and change form. A hydrostatic fluid is not in action. As a result, hydrostatic pressure refers to the pressure inside a non-moving fluid, as compared to pressure exerted by, say, water from a fire hose.
This is the pressure caused by the fluid’s weight, or rather by the force of gravity pressing on the fluid. This indicates that fluid will exert force on an item based on its depth in the fluid, independent of its velocity. The definition of hydrostatic pressure is straightforward, based on the depth beneath the fluid surface h, gravity’s acceleration g, and fluid density ρ.
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The unit of hydrostatic pressure is pascal (Pa). It is named after Blaise Pascal, a French mathematician and physicist who studied the behaviour of fluids.
The pascal is defined as one newton per square meter (N / m 2). It is also equal to one kilogram per meter per second squared (k g / ( m s 2 )).
Other units of hydrostatic pressure include:
- Bar: 1 bar = 100,000 Pa
- Atmosphere (atm): 1 atm = 101,325 Pa
- Pound per square inch (psi): 1 psi = 6,894.75729 Pa
- Head of water: 1 foot of head of water = 2,985.9 Pa
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## Hydrostatic Pressure Formula
The formula for hydrostatic pressure is
p \= ρ × g × h
Where,
p = the pressure exerted by the liquid in N . m 2, Pa
ρ = the density of the liquid in k g . m 3
g = the acceleration due to gravity = 9\.81 m s 2
h = the height of the fluid column in m
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## Derivation of Hydrostatic Pressure Formula
Consider a column of water with a total volume of V and a base surface area of A.
The water’s weight is: W \= m × g
We know that the density of water multiplied by volume equals the mass of water. Therefore,
W \= ρ × V × g
The product of surface area and height is volume. Therefore,
V \= A × h
Thus,
W \= ρ × A × h × g
Using the pressure formula:
p \= F A
Therefore,
p \= ( ρ × A × h × g ) A
Thus,
p \= ρ × h × g
## Difference between Hydrostatic pressure and Osmotic pressure
The differences between hydrostatic pressure and osmotic pressure have been discussed below.
| | | |
|---|---|---|
| **Sr. no.** | **Hydrostatic Pressure** | **Osmotic Pressure** |
| 1\. | Hydrostatic pressure is the pressure that occurs due to gravity. | [Osmotic pressure](https://testbook.com/chemistry/osmotic-pressure) is the pressure due to the osmosis process of the solution. |
| 2\. | It is observed in non-flowing solutions. | It is observed in flowing solutions. |
| 3\. | It occurs in a pure and homogeneous solution. | It occurs only in a pure solution. |
| 4\. | A semipermeable membrane is not involved in this process. | A semipermeable membrane is involved in this process. |
| 5\. | The pressure is different in different parts of the solution. | The pressure is the same in every part of the solution. |
## Application of Hydrostatic Pressure
The concept of hydrostatic pressure is employed in real-life applications. Some of them are given below.
- Water may be driven into lower-lying residences without the use of extra pumps due to the consequent hydrostatic pressure.
- The water level in the tower lowers very slowly due to the vast water reservoir, which is normally several million litres.
- Many sites in everyday life demonstrate that hydrostatic pressure simply depends on depth. It is also the reason why the same water level is seen in all vessels linked by pipes.
## Solved Examples on Hydrostatic Pressure
**Example 1**. What is the pressure acting on the water at a depth of 2m and a temperature of 4°C?
Solution: The depth of the water column is 2 meters.
At 4°C, the density of water is 1000 k g / m 3
The formula is as follows: p \= ρ g h
Therefore,
Pressure= 1000×9.81×2 = 19,620 Pa
**Example 2**. What is the pressure operating on the water at a depth of one foot at 32°F?
Solution: The depth of the water column is 1 foot.
Water density at 32°F = 1.940
Height = 1 foot
The formula is as follows: p \= ρ g h
Pressure= 1.940×1 = 1.940 Pa
## Hydrostatic Pressure FAQs
### What is hydrostatic pressure?
The pressure exerted by a fluid in equilibrium at any moment in time owing to gravity's force is hydrostatic pressure.
### How to calculate hydrostatic pressure in a well?
Hydrostatic pressure in a well by formula,p \= ρ × h × g
### How do you get rid of hydrostatic pressure?
There are different ways to get rid of hydrostatic pressure which includes enhancing the drainage system, investing in good waterproofing services, installing drains around the house, etc.
### What causes hydrostatic pressure?
The force created by standing or resting fluid is the cause of hydrostatic pressure.
### Why is hydrostatic pressure important?
We rely on hydrostatic pressure to keep your lungs inflated and the water in your body from evaporating. Thus to keep us safe hydrostatic force is important.
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