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Pressure in a Liquid (Cambridge O Level Physics)
Revision Note
Pressure in Liquids
- A fluid is either a liquid or a gas
When an object is immersed in a fluid, the fluid will exert pressure, squeezing the object
- This pressure is exerted evenly across the whole surface of the fluid and in all directions
- The pressure exerted on objects in fluids creates forces against surfaces
- These forces act at 90 degrees (at right angles) to the surface
Pressure on an Object in a Fluid
The pressure of a fluid on an object creates a force normal (at right angles) to the surface
- The pressure of a fluid on an object will increase with:
- Depth within the fluid
- Increased density of the fluid
Calculating Pressure in Liquids
- The pressure is more accurately the difference in pressure at different depths h in a liquid, since the pressure changes with the depth
- The pressure due to a column of liquid can be calculated using the equation
Δp = ρgΔh
- Where:
- Δp = change in pressure in pascals (Pa)
- Where 1 Pa = 1 N/m2
- ρ = density of the liquid in kilograms per metre cubed (kg/m3)
- g = gravitational field strength on Earth in newtons per kilogram (N/kg)
- Δh = change in height of the column in metres (m)
- Δp = change in pressure in pascals (Pa)
- The force from the pressure is exerted evenly across the whole surface of an object in a liquid, and in all directions
Even Pressure on an Object in a Fluid
The force from the pressure of objects in a liquid is exerted evenly across its whole surface
Worked example
Calculate the depth of water in a swimming pool where a pressure of 20 kPa is exerted due to the water. The density of water is 1000 kg/m3 and the gravitational field strength on Earth is 9.8 N/kg.
Answer:
Step 1: List the known quantities, converting any units necessary:
- Pressure due to fluid, Δp = 20 kPa = 20 000 Pa
- Density of water, ρ = 1000 kg/m3
- Gravitational field strength, g = 9.8 N/kg
Step 2: Rearrange the relevant equation for depth:
- The equation for pressure in a fluid is
- Rearrange for depth, Δh
Step 3: Substitute the known quantities:
- Depth is
- Give the answer to 2 significant figures (like the values given in the question)
Examiner Tip
This pressure equation will be given on your formula sheet, however, make sure you are comfortable with rearranging it for the variable required in the question!
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