Pressure

The Maths Habit

Which hurts more: being stepped on by someone in trainers or by someone in stiletto heels?

The heels: the same force on a tiny area

Pressure
The force on each square metre of a surface.

pressure = forcearea

What are the units of pressure?

Force in N, area in m² N/m²

More pressure or less?

The same force on a smaller area More

Force 72 N, area 4 m². Find the pressure.

force 72 Narea 4 m²
pressure =forcearea=724
Answer18 N/m²

Force 150 N, area 6 m². Find the pressure.

force 150 Narea 6 m²
pressure =forcearea=1506
Answer25 N/m²

Force 72 N, area 4 m². Find the pressure.

force 72 Narea 4 m²
pressure =forcearea=724
Answer18 N/m²

Pressure 15 N/m², area 3 m². Find the force.

force ?area 3 m²
15=force3
multiply both sides by the area
force =15×3
Answer45 N

Force 72 N, area 4 m². Find the pressure.

force 72 Narea 4 m²
pressure =forcearea=724
Answer18 N/m²

Force 84 N, area 6 m². Find the pressure.

force 84 Narea 6 m²
pressure =forcearea=846
Answer14 N/m²

Force 72 N, area 4 m². Find the pressure.

force 72 Narea 4 m²
pressure =forcearea=724
Answer18 N/m²

Pressure 18 N/m², area 5 m². Find the force.

force ?area 5 m²
18=force5
multiply both sides by the area
force =18×5
Answer90 N

Force 72 N, area 4 m². Find the pressure.

force 72 Narea 4 m²
pressure =forcearea=724
Answer18 N/m²

Force 210 N, pressure 30 N/m². Find the area.

force 210 Narea ?
30=210area
area × pressure = force, so divide
area =210÷30
Answer7 m²

Pressure worksheet, page 1

Answer sheet

  1. A box weighs 240 N. Its base is 2 m by 1.5 m. Find the pressure on the floor.

    80 N/m²
  2. Why does a drawing pin have a sharp point?

    A small area gives more pressure
  3. A force of 270 N gives a pressure of 45 N/m². Find the area.

    area = 270 ÷ 45 = 6 m²

  1. A force of 96 N acts on an area of 8 m². Find the pressure.

    12 N/m2
  2. A pressure of 25 N/m² acts on an area of 6 m². Find the force.

    150 N
  3. A force of 140 N gives a pressure of 35 N/m². Find the area.

    4 m2
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