Pressure, Force & Area

Grade 5

What pressure means

Pressure is how much force is pushing on a given area. A sharp pin hurts because all the force is concentrated onto a tiny area — high pressure. Snow shoes spread your weight over a large area — low pressure.

Pressure = Force ÷ Area

The standard unit is N/m² (newtons per square metre), also called a pascal (Pa).

The triangle

Same structure as speed and density: put F at the top, P × A at the bottom.

Force = Pressure × Area. Area = Force ÷ Pressure. Pressure = Force ÷ Area.

Worked example — finding pressure

EXAMPLE
A force of 600 N acts on an area of 0.3 m². Calculate the pressure.
Pressure = Force ÷ Area = 600 ÷ 0.3 =2000 N/m².

Worked example — finding area

EXAMPLE
A block exerts a pressure of 400 N/m² with a force of 200 N. What area is the block resting on?
Area = Force ÷ Pressure = 200 ÷ 400 =0.5 m².

All three triangles follow the same pattern

Speed, density, and pressure all use the same divide-multiply structure. If you're solid on one of them, the other two follow automatically — just swap in the right letters and units. The only things that change are the quantities and their units.
Nova

Sign up and Nova will set you a question on this exact topic.

Try it with Nova?