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| Meta Title | Hydrostatic Pressure (p=ρgh): Notes + Examples (O Level) |
| Meta Description | Master hydrostatic pressure in liquids (p=ρgh): depth vs pressure, total pressure with atmosphere, common traps, and worked examples for O Level Physics. |
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| Boilerpipe Text | On this page
1. Definition
A. Hydrostatic pressure
B. Pressure due to a liquid column
2. Key Ideas
3. Detailed Explanations
A. Why pressure increases with depth
B. Using (what is ?)
C. Same depth means same pressure (shape does not matter)
D. Pressure acts in all directions
4. Common Mistakes
5. Exam Tips
6. Worked Examples
Example 1: Diver underwater (column pressure and total pressure)
Example 2: Pressure difference between two depths
Example 3: Find depth from pressure
Example 4: Different liquids, same depth
Example 5: Find density using
7. Mind Stretchers
Example 1: Same depth, different shapes
Example 2: Pressure on a different planet
8. Practice
1. Definition
A. Hydrostatic pressure
Hydrostatic pressure
is the pressure in a
fluid at rest
, caused by the
weight of the fluid above
a point. It increases with depth.
B. Pressure due to a liquid column
The
pressure difference
between two points in the same fluid separated vertically by
is:
If the fluid surface is at pressure
, then at depth
:
In many O Level questions,
refers to the
pressure due to the liquid column
(i.e. the
extra
pressure compared to the surface).
= pressure (Pa)
=
density
(kg m
)
=
gravitational field strength
(N kg
)
= vertical depth below the liquid surface (m)
2. Key Ideas
Hydrostatic pressure depends on:
depth
,
fluid density
,
gravitational field strength
.
For the same liquid and same
:
deeper point → larger pressure (because
),
same depth → same pressure (even if the container shape is different).
Hydrostatic pressure does
not
depend on the shape or cross-sectional area of the container.
Use the vertical depth from the surface:
If asked for
total pressure
at depth in an open tank:
3. Detailed Explanations
A. Why pressure increases with depth
Deeper water produces higher pressure, so water squirts out faster.
The deeper you go in a liquid, the more liquid there is above you.
more water above → larger weight pressing down
larger weight over the same area → larger pressure
B. Using
(what is
?)
Depth h is measured vertically from the liquid surface to the point.
For a point at depth
below the surface in a uniform liquid:
If the surface is open to the air, the total pressure is:
Read the question carefully:
“pressure due to the water (liquid) column” → use
“total pressure at that depth” → add atmospheric pressure
Column pressure vs total pressure (open tank)
Two straight lines versus depth: one shows pressure due to the water column only; the other includes atmospheric pressure as a constant offset.
Column pressure vs total pressure (open tank)
Depth below surface (m)
Pressure (kPa)
Key
Column pressure (ρgh) in water
Column pressure (ρgh) in water
Total pressure (patm + ρgh)
Total pressure (patm + ρgh)
For water with g≈10, the pressure due to the liquid column increases by about 10 kPa per metre. Total pressure starts at about 100 kPa at the surface and rises with the same gradient.
Data table
Column pressure (ρgh) in water
Depth below surface (m)
Pressure (kPa)
0
0
6
60
Total pressure (patm + ρgh)
Depth below surface (m)
Pressure (kPa)
0
100
6
160
C. Same depth means same pressure (shape does not matter)
In the same connected liquid, pressure depends on depth, not container shape.
In a liquid at rest:
all points at the same depth have the same pressure
the pressure at the bottom depends on depth
, not on the container’s shape or width
D. Pressure acts in all directions
Pressure increases with depth: deeper points have larger pressure.
Pressure at a point in a fluid acts
in all directions
(not just downward). This is why water pushes:
downward on the bottom of a tank,
sideways on the walls of a tank.
Upthrust (buoyancy) and Archimedes’ principle are useful extensions, but not required for the O Level Physics (6091) Pressure learning outcomes.
See:
Upthrust & Archimedes’ Principle
.
4. Common Mistakes
Using the wrong
(it must be the
vertical depth
below the surface, not the slanted distance).
Forgetting to convert cm to m (e.g.
).
Mixing density units (use kg m
when using SI units in the formula).
Forgetting to add atmospheric pressure when the question asks for
total pressure
.
5. Exam Tips
Write the formula first (
or
), then substitute with units.
Quote the correct unit at the end: Pa (or kPa).
For water, a common value is
.
If two points are at the same depth in the same connected liquid, state: “same
→ same pressure”.
6. Worked Examples
Example 1: Diver underwater (column pressure and total pressure)
A diver is
below the surface of fresh water. Calculate:
the pressure due to the water column
the total pressure if atmospheric pressure is
Take
and
.
Show Answer
Pressure due to water column:
Total pressure:
Example 2: Pressure difference between two depths
Two points in the same liquid are separated vertically by
. Find the pressure difference between them.
Take
and
.
Example 3: Find depth from pressure
In water, the pressure due to the liquid column is
. Find the depth.
Take
and
.
Example 4: Different liquids, same depth
A point is
below the surface of:
water (
)
oil (
)
Compare the pressure due to the liquid column in each case. Take
.
Show Answer
Water:
Oil:
At the same depth, the denser liquid produces a larger pressure.
Example 5: Find density using
In a liquid, pressure increases by
when the depth increases by
. Find the density of the liquid. Take
.
7. Mind Stretchers
Example 1: Same depth, different shapes
Two tanks have different shapes but both contain water to the same depth. One tank is very wide and the other is narrow. Which tank has the larger pressure at the bottom? Explain.
Show Answer
They have the same pressure at the bottom.
Hydrostatic pressure depends on depth only:
Same liquid (same
) and same depth
gives the same pressure, regardless of tank shape.
Example 2: Pressure on a different planet
A lake of the same depth exists on a planet where
is half of Earth’s value. How does the hydrostatic pressure due to the water column at a given depth compare with Earth? Explain.
Show Answer
It is half of Earth’s value.
Hydrostatic pressure due to the liquid column is:
If
is halved while
and
are the same, then
is halved.
8. Practice
Categories
Tags
O Level
Physics
Pressure |
| Markdown | [Skip to main content](https://www.miniphysics.com/hydrostatic-pressure.html#main-content)
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4. / Hydrostatic Pressure
# Hydrostatic Pressure
**Show/Hide Sub-topics (Pressure \| O Level Physics)**
1. [Density](https://www.miniphysics.com/density.html)
2. [What Is Pressure?](https://www.miniphysics.com/what-is-pressure.html)
3. [Hydrostatic Pressure](https://www.miniphysics.com/hydrostatic-pressure.html)
4. [Hydraulic Systems](https://www.miniphysics.com/ss-hydraulic-systems.html)
5. [Barometer & Atmospheric Pressure](https://www.miniphysics.com/barometer.html)
6. [Manometer](https://www.miniphysics.com/manometer.html)
**On this page**
- [1\. Definition](https://www.miniphysics.com/hydrostatic-pressure.html#1-definition)
- [A. Hydrostatic pressure](https://www.miniphysics.com/hydrostatic-pressure.html#a-hydrostatic-pressure)
- [B. Pressure due to a liquid column](https://www.miniphysics.com/hydrostatic-pressure.html#b-pressure-due-to-a-liquid-column)
- [2\. Key Ideas](https://www.miniphysics.com/hydrostatic-pressure.html#2-key-ideas)
- [3\. Detailed Explanations](https://www.miniphysics.com/hydrostatic-pressure.html#3-detailed-explanations)
- [A. Why pressure increases with depth](https://www.miniphysics.com/hydrostatic-pressure.html#a-why-pressure-increases-with-depth)
- [B. Using (what is ?)](https://www.miniphysics.com/hydrostatic-pressure.html#b-using--what-is-)
- [C. Same depth means same pressure (shape does not matter)](https://www.miniphysics.com/hydrostatic-pressure.html#c-same-depth-means-same-pressure-shape-does-not-matter)
- [D. Pressure acts in all directions](https://www.miniphysics.com/hydrostatic-pressure.html#d-pressure-acts-in-all-directions)
- [4\. Common Mistakes](https://www.miniphysics.com/hydrostatic-pressure.html#4-common-mistakes)
- [5\. Exam Tips](https://www.miniphysics.com/hydrostatic-pressure.html#5-exam-tips)
- [6\. Worked Examples](https://www.miniphysics.com/hydrostatic-pressure.html#6-worked-examples)
- [Example 1: Diver underwater (column pressure and total pressure)](https://www.miniphysics.com/hydrostatic-pressure.html#example-1-diver-underwater-column-pressure-and-total-pressure)
- [Example 2: Pressure difference between two depths](https://www.miniphysics.com/hydrostatic-pressure.html#example-2-pressure-difference-between-two-depths)
- [Example 3: Find depth from pressure](https://www.miniphysics.com/hydrostatic-pressure.html#example-3-find-depth-from-pressure)
- [Example 4: Different liquids, same depth](https://www.miniphysics.com/hydrostatic-pressure.html#example-4-different-liquids-same-depth)
- [Example 5: Find density using](https://www.miniphysics.com/hydrostatic-pressure.html#example-5-find-density-using-)
- [7\. Mind Stretchers](https://www.miniphysics.com/hydrostatic-pressure.html#7-mind-stretchers)
- [Example 1: Same depth, different shapes](https://www.miniphysics.com/hydrostatic-pressure.html#example-1-same-depth-different-shapes)
- [Example 2: Pressure on a different planet](https://www.miniphysics.com/hydrostatic-pressure.html#example-2-pressure-on-a-different-planet)
- [8\. Practice](https://www.miniphysics.com/hydrostatic-pressure.html#8-practice)
## 1\. Definition
### A. Hydrostatic pressure
**Hydrostatic pressure** is the pressure in a **fluid at rest**, caused by the **weight of the fluid above** a point. It increases with depth.
### B. Pressure due to a liquid column
The **pressure difference** between two points in the same fluid separated vertically by is:
If the fluid surface is at pressure , then at depth :
In many O Level questions, refers to the **pressure due to the liquid column** (i.e. the *extra* pressure compared to the surface).
- \= pressure (Pa)
- \= [density](https://www.miniphysics.com/density.html) (kg m
)
- \= [gravitational field strength](https://www.miniphysics.com/gravitational-field.html) (N kg
)
- \= vertical depth below the liquid surface (m)
## 2\. Key Ideas
- Hydrostatic pressure depends on:
- depth
,
- fluid density
,
- gravitational field strength
.
- For the same liquid and same
:
- deeper point → larger pressure (because
),
- same depth → same pressure (even if the container shape is different).
- Hydrostatic pressure does **not** depend on the shape or cross-sectional area of the container.
- Use the vertical depth from the surface:
- If asked for **total pressure** at depth in an open tank:
## 3\. Detailed Explanations
### A. Why pressure increases with depth
[](https://www.miniphysics.com/_astro/pressure.D4FiMJi-.jpg)
Deeper water produces higher pressure, so water squirts out faster.
The deeper you go in a liquid, the more liquid there is above you.
- more water above → larger weight pressing down
- larger weight over the same area → larger pressure
### B. Using (what is ?)
[](https://www.miniphysics.com/_astro/Liquid-pressure-2.C_8w34qF.jpg)
Depth h is measured vertically from the liquid surface to the point.
For a point at depth below the surface in a uniform liquid:
If the surface is open to the air, the total pressure is:
Exam Tip: choose the correct pressure
Read the question carefully:
- “pressure due to the water (liquid) column” → use
- “total pressure at that depth” → add atmospheric pressure
Two straight lines versus depth: one shows pressure due to the water column only; the other includes atmospheric pressure as a constant offset.
Column pressure vs total pressure (open tank)
0
2
4
6
0
50
100
150
200
Depth below surface (m)
Pressure (kPa)
Key
Column pressure (ρgh) in water
Total pressure (patm + ρgh)
For water with g≈10, the pressure due to the liquid column increases by about 10 kPa per metre. Total pressure starts at about 100 kPa at the surface and rises with the same gradient.
Data table
| Column pressure (ρgh) in water | |
|---|---|
| Depth below surface (m) | Pressure (kPa) |
| 0 | 0 |
| 6 | 60 |
| Total pressure (patm + ρgh) | |
|---|---|
| Depth below surface (m) | Pressure (kPa) |
| 0 | 100 |
| 6 | 160 |
### C. Same depth means same pressure (shape does not matter)
[](https://www.miniphysics.com/_astro/pressure-at-same-height.B-qL7Clt.jpg)
In the same connected liquid, pressure depends on depth, not container shape.
In a liquid at rest:
- all points at the same depth have the same pressure
- the pressure at the bottom depends on depth
, not on the container’s shape or width
### D. Pressure acts in all directions
[](https://www.miniphysics.com/_astro/Liquid-pressure.BoPI1Ki2.jpg)
Pressure increases with depth: deeper points have larger pressure.
Pressure at a point in a fluid acts **in all directions** (not just downward). This is why water pushes:
- downward on the bottom of a tank,
- sideways on the walls of a tank.
A Level extension
Upthrust (buoyancy) and Archimedes’ principle are useful extensions, but not required for the O Level Physics (6091) Pressure learning outcomes. See: [Upthrust & Archimedes’ Principle](https://www.miniphysics.com/upthrust-and-archimedes-principle.html).
## 4\. Common Mistakes
- Using the wrong
(it must be the **vertical depth** below the surface, not the slanted distance).
- Forgetting to convert cm to m (e.g.
).
- Mixing density units (use kg m
when using SI units in the formula).
- Forgetting to add atmospheric pressure when the question asks for **total pressure**.
## 5\. Exam Tips
- Write the formula first (
or
), then substitute with units.
- Quote the correct unit at the end: Pa (or kPa).
- For water, a common value is
.
- If two points are at the same depth in the same connected liquid, state: “same
→ same pressure”.
## 6\. Worked Examples
### Example 1: Diver underwater (column pressure and total pressure)
A diver is below the surface of fresh water. Calculate:
1. the pressure due to the water column
2. the total pressure if atmospheric pressure is
Take and .
**Show Answer**
1. Pressure due to water column:
2. Total pressure:
### Example 2: Pressure difference between two depths
Two points in the same liquid are separated vertically by . Find the pressure difference between them.
Take and .
**Show Answer**
### Example 3: Find depth from pressure
In water, the pressure due to the liquid column is . Find the depth.
Take and .
**Show Answer**
### Example 4: Different liquids, same depth
A point is below the surface of:
1. water (
)
2. oil (
)
Compare the pressure due to the liquid column in each case. Take .
**Show Answer**
Water:
Oil:
At the same depth, the denser liquid produces a larger pressure.
### Example 5: Find density using
In a liquid, pressure increases by when the depth increases by . Find the density of the liquid. Take .
**Show Answer**
## 7\. Mind Stretchers
### Example 1: Same depth, different shapes
Two tanks have different shapes but both contain water to the same depth. One tank is very wide and the other is narrow. Which tank has the larger pressure at the bottom? Explain.
**Show Answer**
They have the same pressure at the bottom.
Hydrostatic pressure depends on depth only:
Same liquid (same ) and same depth gives the same pressure, regardless of tank shape.
### Example 2: Pressure on a different planet
A lake of the same depth exists on a planet where is half of Earth’s value. How does the hydrostatic pressure due to the water column at a given depth compare with Earth? Explain.
**Show Answer**
It is half of Earth’s value.
Hydrostatic pressure due to the liquid column is:
If is halved while and are the same, then is halved.
## 8\. Practice
Practice Time\!
Ready to test your understanding?
[Try the Pressure MCQs](https://www.miniphysics.com/quiz/pressure.html)
### Next Step: Practice This Topic
Pressure: take one targeted next step, then escalate difficulty only after the first route stabilizes.
- [Best next step: Pressure Quiz](https://www.miniphysics.com/quiz/pressure.html)Fast concept check before deeper follow-up.
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- [Pressure Hub](https://www.miniphysics.com/pressure-2.html)Quick recap of the full topic before timed practice.
[Previous LessonWhat Is Pressure?](https://www.miniphysics.com/what-is-pressure.html)
[Next LessonHydraulic Systems](https://www.miniphysics.com/ss-hydraulic-systems.html)
Updated
Jan 26, 2026
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Categories
- [O Level](https://www.miniphysics.com/o-level-secondary-school-physics-notes.html)
- [Pressure](https://www.miniphysics.com/pressure-2.html)
Tags
- O Level
- Physics
- Pressure
On this page
- [1\. Definition](https://www.miniphysics.com/hydrostatic-pressure.html#1-definition)
- [A. Hydrostatic pressure](https://www.miniphysics.com/hydrostatic-pressure.html#a-hydrostatic-pressure)
- [B. Pressure due to a liquid column](https://www.miniphysics.com/hydrostatic-pressure.html#b-pressure-due-to-a-liquid-column)
- [2\. Key Ideas](https://www.miniphysics.com/hydrostatic-pressure.html#2-key-ideas)
- [3\. Detailed Explanations](https://www.miniphysics.com/hydrostatic-pressure.html#3-detailed-explanations)
- [A. Why pressure increases with depth](https://www.miniphysics.com/hydrostatic-pressure.html#a-why-pressure-increases-with-depth)
- [B. Using (what is ?)](https://www.miniphysics.com/hydrostatic-pressure.html#b-using--what-is-)
- [C. Same depth means same pressure (shape does not matter)](https://www.miniphysics.com/hydrostatic-pressure.html#c-same-depth-means-same-pressure-shape-does-not-matter)
- [D. Pressure acts in all directions](https://www.miniphysics.com/hydrostatic-pressure.html#d-pressure-acts-in-all-directions)
- [4\. Common Mistakes](https://www.miniphysics.com/hydrostatic-pressure.html#4-common-mistakes)
- [5\. Exam Tips](https://www.miniphysics.com/hydrostatic-pressure.html#5-exam-tips)
- [6\. Worked Examples](https://www.miniphysics.com/hydrostatic-pressure.html#6-worked-examples)
- [Example 1: Diver underwater (column pressure and total pressure)](https://www.miniphysics.com/hydrostatic-pressure.html#example-1-diver-underwater-column-pressure-and-total-pressure)
- [Example 2: Pressure difference between two depths](https://www.miniphysics.com/hydrostatic-pressure.html#example-2-pressure-difference-between-two-depths)
- [Example 3: Find depth from pressure](https://www.miniphysics.com/hydrostatic-pressure.html#example-3-find-depth-from-pressure)
- [Example 4: Different liquids, same depth](https://www.miniphysics.com/hydrostatic-pressure.html#example-4-different-liquids-same-depth)
- [Example 5: Find density using](https://www.miniphysics.com/hydrostatic-pressure.html#example-5-find-density-using-)
- [7\. Mind Stretchers](https://www.miniphysics.com/hydrostatic-pressure.html#7-mind-stretchers)
- [Example 1: Same depth, different shapes](https://www.miniphysics.com/hydrostatic-pressure.html#example-1-same-depth-different-shapes)
- [Example 2: Pressure on a different planet](https://www.miniphysics.com/hydrostatic-pressure.html#example-2-pressure-on-a-different-planet)
- [8\. Practice](https://www.miniphysics.com/hydrostatic-pressure.html#8-practice)
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| Readable Markdown | **On this page**
- [1\. Definition](https://www.miniphysics.com/hydrostatic-pressure.html#1-definition)
- [A. Hydrostatic pressure](https://www.miniphysics.com/hydrostatic-pressure.html#a-hydrostatic-pressure)
- [B. Pressure due to a liquid column](https://www.miniphysics.com/hydrostatic-pressure.html#b-pressure-due-to-a-liquid-column)
- [2\. Key Ideas](https://www.miniphysics.com/hydrostatic-pressure.html#2-key-ideas)
- [3\. Detailed Explanations](https://www.miniphysics.com/hydrostatic-pressure.html#3-detailed-explanations)
- [A. Why pressure increases with depth](https://www.miniphysics.com/hydrostatic-pressure.html#a-why-pressure-increases-with-depth)
- [B. Using (what is ?)](https://www.miniphysics.com/hydrostatic-pressure.html#b-using--what-is-)
- [C. Same depth means same pressure (shape does not matter)](https://www.miniphysics.com/hydrostatic-pressure.html#c-same-depth-means-same-pressure-shape-does-not-matter)
- [D. Pressure acts in all directions](https://www.miniphysics.com/hydrostatic-pressure.html#d-pressure-acts-in-all-directions)
- [4\. Common Mistakes](https://www.miniphysics.com/hydrostatic-pressure.html#4-common-mistakes)
- [5\. Exam Tips](https://www.miniphysics.com/hydrostatic-pressure.html#5-exam-tips)
- [6\. Worked Examples](https://www.miniphysics.com/hydrostatic-pressure.html#6-worked-examples)
- [Example 1: Diver underwater (column pressure and total pressure)](https://www.miniphysics.com/hydrostatic-pressure.html#example-1-diver-underwater-column-pressure-and-total-pressure)
- [Example 2: Pressure difference between two depths](https://www.miniphysics.com/hydrostatic-pressure.html#example-2-pressure-difference-between-two-depths)
- [Example 3: Find depth from pressure](https://www.miniphysics.com/hydrostatic-pressure.html#example-3-find-depth-from-pressure)
- [Example 4: Different liquids, same depth](https://www.miniphysics.com/hydrostatic-pressure.html#example-4-different-liquids-same-depth)
- [Example 5: Find density using](https://www.miniphysics.com/hydrostatic-pressure.html#example-5-find-density-using-)
- [7\. Mind Stretchers](https://www.miniphysics.com/hydrostatic-pressure.html#7-mind-stretchers)
- [Example 1: Same depth, different shapes](https://www.miniphysics.com/hydrostatic-pressure.html#example-1-same-depth-different-shapes)
- [Example 2: Pressure on a different planet](https://www.miniphysics.com/hydrostatic-pressure.html#example-2-pressure-on-a-different-planet)
- [8\. Practice](https://www.miniphysics.com/hydrostatic-pressure.html#8-practice)
## 1\. Definition
### A. Hydrostatic pressure
**Hydrostatic pressure** is the pressure in a **fluid at rest**, caused by the **weight of the fluid above** a point. It increases with depth.
### B. Pressure due to a liquid column
The **pressure difference** between two points in the same fluid separated vertically by is:
If the fluid surface is at pressure , then at depth :
In many O Level questions, refers to the **pressure due to the liquid column** (i.e. the *extra* pressure compared to the surface).
- \= pressure (Pa)
- \= [density](https://www.miniphysics.com/density.html) (kg m
)
- \= [gravitational field strength](https://www.miniphysics.com/gravitational-field.html) (N kg
)
- \= vertical depth below the liquid surface (m)
## 2\. Key Ideas
- Hydrostatic pressure depends on:
- depth
,
- fluid density
,
- gravitational field strength
.
- For the same liquid and same
:
- deeper point → larger pressure (because
),
- same depth → same pressure (even if the container shape is different).
- Hydrostatic pressure does **not** depend on the shape or cross-sectional area of the container.
- Use the vertical depth from the surface:
- If asked for **total pressure** at depth in an open tank:
## 3\. Detailed Explanations
### A. Why pressure increases with depth
[](https://www.miniphysics.com/_astro/pressure.D4FiMJi-.jpg)
Deeper water produces higher pressure, so water squirts out faster.
The deeper you go in a liquid, the more liquid there is above you.
- more water above → larger weight pressing down
- larger weight over the same area → larger pressure
### B. Using (what is ?)
[](https://www.miniphysics.com/_astro/Liquid-pressure-2.C_8w34qF.jpg)
Depth h is measured vertically from the liquid surface to the point.
For a point at depth below the surface in a uniform liquid:
If the surface is open to the air, the total pressure is:
Read the question carefully:
- “pressure due to the water (liquid) column” → use
- “total pressure at that depth” → add atmospheric pressure
Two straight lines versus depth: one shows pressure due to the water column only; the other includes atmospheric pressure as a constant offset.
Column pressure vs total pressure (open tank)
Depth below surface (m)
Pressure (kPa)
Key
Column pressure (ρgh) in water
Total pressure (patm + ρgh)
For water with g≈10, the pressure due to the liquid column increases by about 10 kPa per metre. Total pressure starts at about 100 kPa at the surface and rises with the same gradient.
Data table
| Column pressure (ρgh) in water | |
|---|---|
| Depth below surface (m) | Pressure (kPa) |
| 0 | 0 |
| 6 | 60 |
| Total pressure (patm + ρgh) | |
|---|---|
| Depth below surface (m) | Pressure (kPa) |
| 0 | 100 |
| 6 | 160 |
### C. Same depth means same pressure (shape does not matter)
[](https://www.miniphysics.com/_astro/pressure-at-same-height.B-qL7Clt.jpg)
In the same connected liquid, pressure depends on depth, not container shape.
In a liquid at rest:
- all points at the same depth have the same pressure
- the pressure at the bottom depends on depth
, not on the container’s shape or width
### D. Pressure acts in all directions
[](https://www.miniphysics.com/_astro/Liquid-pressure.BoPI1Ki2.jpg)
Pressure increases with depth: deeper points have larger pressure.
Pressure at a point in a fluid acts **in all directions** (not just downward). This is why water pushes:
- downward on the bottom of a tank,
- sideways on the walls of a tank.
Upthrust (buoyancy) and Archimedes’ principle are useful extensions, but not required for the O Level Physics (6091) Pressure learning outcomes. See: [Upthrust & Archimedes’ Principle](https://www.miniphysics.com/upthrust-and-archimedes-principle.html).
## 4\. Common Mistakes
- Using the wrong
(it must be the **vertical depth** below the surface, not the slanted distance).
- Forgetting to convert cm to m (e.g.
).
- Mixing density units (use kg m
when using SI units in the formula).
- Forgetting to add atmospheric pressure when the question asks for **total pressure**.
## 5\. Exam Tips
- Write the formula first (
or
), then substitute with units.
- Quote the correct unit at the end: Pa (or kPa).
- For water, a common value is
.
- If two points are at the same depth in the same connected liquid, state: “same
→ same pressure”.
## 6\. Worked Examples
### Example 1: Diver underwater (column pressure and total pressure)
A diver is below the surface of fresh water. Calculate:
1. the pressure due to the water column
2. the total pressure if atmospheric pressure is
Take and .
**Show Answer**
1. Pressure due to water column:
2. Total pressure:
### Example 2: Pressure difference between two depths
Two points in the same liquid are separated vertically by . Find the pressure difference between them.
Take and .
### Example 3: Find depth from pressure
In water, the pressure due to the liquid column is . Find the depth.
Take and .
### Example 4: Different liquids, same depth
A point is below the surface of:
1. water (
)
2. oil (
)
Compare the pressure due to the liquid column in each case. Take .
**Show Answer**
Water:
Oil:
At the same depth, the denser liquid produces a larger pressure.
### Example 5: Find density using
In a liquid, pressure increases by when the depth increases by . Find the density of the liquid. Take .
## 7\. Mind Stretchers
### Example 1: Same depth, different shapes
Two tanks have different shapes but both contain water to the same depth. One tank is very wide and the other is narrow. Which tank has the larger pressure at the bottom? Explain.
**Show Answer**
They have the same pressure at the bottom.
Hydrostatic pressure depends on depth only:
Same liquid (same ) and same depth gives the same pressure, regardless of tank shape.
### Example 2: Pressure on a different planet
A lake of the same depth exists on a planet where is half of Earth’s value. How does the hydrostatic pressure due to the water column at a given depth compare with Earth? Explain.
**Show Answer**
It is half of Earth’s value.
Hydrostatic pressure due to the liquid column is:
If is halved while and are the same, then is halved.
## 8\. Practice
Categories
Tags
- O Level
- Physics
- Pressure |
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