Pressure on a surface
Same force, smaller area — more pressure.
Pressure is the force per unit area:
with P in pascals (Pa), F in newtons (N) and A in square metres (m²). 1 Pa = 1 N/m².
This is why design choices matter:
- Small area, large pressure. A knife edge focuses your weight onto a thin line — perfect for cutting. A drawing pin's point pushes huge pressure into the wall with very little force.
- Large area, small pressure. Snowshoes and skis spread weight over a wide area, reducing pressure so you don't sink into the snow. Camel feet, elephant feet and tractor tyres do the same on soft ground.
Worked example. A box weighs 240 N and sits on a side measuring 0.40 m × 0.30 m. Calculate the pressure on the floor.
A = 0.40 × 0.30 = 0.12 m². P = F/A = 240 / 0.12 = 2 000 Pa = 2 kPa.
Tip the box on its end so the contact area is 0.30 × 0.20 = 0.06 m², and P doubles to 4 kPa for the same weight.
- P = F / A. Unit pascal (Pa) = N/m².
- Same force, smaller area → larger pressure.
- Designs maximise (knives, pins) or minimise (skis, snowshoes) contact area depending on the goal.