Revision notes · Forces

Pressure and pressure differences in fluids (physics only)

Pressure in a fluid4.5.5.1

Particles in a gas or liquid move randomly in every direction, and their collisions with the walls of a container produce a force on the container — this is felt as pressure. Pressure always acts at right angles (normal) to a surface.

EquationUnits
pressure = force ÷ area — p = F ÷ Ap in pascals (Pa), F in newtons (N), A in square metres (m²)
EquationUnits
pressure due to a column of liquid = height of column × density of liquid × gravitational field strength — p = h × ρ × gp in pascals (Pa), h in metres (m), ρ in kg/m³, g in N/kg
Pressure in a fluid increases with depth

Pressure in a liquid increases with depth (a taller column of liquid above a point has more weight pressing down) and with density. A submerged object experiences greater pressure on its lower surface than on its upper surface (because the lower surface is deeper) — this pressure difference produces a net upward force called upthrust.

Definition: Upthrust is equal to the weight of fluid displaced by the object.

An object floats if its weight is less than or equal to the upthrust it experiences once fully submerged — equivalently, if its weight is less than the weight of fluid it would displace if fully submerged. A ping pong ball floats because its density is lower than water's: the weight of water it displaces is greater than its own weight, so the resultant force is upward (buoyant).

Atmospheric pressure4.5.5.2

The Earth's atmosphere is a relatively thin layer of air surrounding the planet. Atmospheric pressure at a given point results from the weight of all the air above that point pressing down.

Air density decreases with increasing altitude — there is progressively less air above you as you go higher. Because there is less air (and so less weight of air) above a given area at high altitude than at low altitude, atmospheric pressure decreases as altitude increases.

Feel like you’ve got it?

Practise it now →