Pressure
- Pressure tells us how concentrated a force is
- Pressure is defined as:
The force per unit area
- Pressure is calculated using the following equation:
- Where:
- p = pressure in pascals (Pa)
- 1 Pa = 1 N m-2
- F = force in newtons (N)
- A = area in metres squared (m2)
- p = pressure in pascals (Pa)
- Pressure, unlike force, is a scalar
- Therefore pressure does not have a specific direction
- If a force is spread over a large area it will result in a small pressure
- If a force is spread over a small area it will result in a large pressure
Pressure of different styles of shoes
High-heeled shoes exert a greater pressure than flat shoes because the same force (weight) is spread over a smaller area
Worked example
A cylinder is placed on a horizontal surface as shown below.
The mass of the cylinder is 4.7 kg and the diameter is 8.4 cm.
Calculate the pressure produced by the cylinder on the horizontal surface.
Answer:
Step 1: List the known quantities and convert to SI units
- Mass, m = 4.7 kg
- Diameter of cylinder, d = 0.084 m
Step 2: State the pressure equation
Step 3: Calculate the force exerted by the cylinder
- The force is the weight acting on the cylinder
- Acceleration of free fall, g = 9.81 m s-2
Step 4: Calculate the area
- Only the base of the cylinder is in contact with the surface
Step 5: Substitute the known values into the pressure equation to calculate
Examiner Tip
The area referred to is the ‘cross-sectional’ area of a 3D object. This is the area of the base that the force is applied on. For a cylinder, this will be a circle.