Pressure in a Liquid (Cambridge (CIE) O Level Physics): Revision Note
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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
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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)
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
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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 Tips and Tricks
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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