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# Pressure Formula

Force and Pressure are the concepts acting simultaneously on the body in motion. The force is nothing but the interaction between any two bodies or the push or pull between them while the pressure tells how much is the push or pull the body experiences when force is applied over a particular area.

Pressure
is the force exerted by one body on the another. It is denoted by P.

Pressure is expressed as force per unit area given as

Where,
F = Force applied by the body,
A = Total area of the object.

Pressure Formula is given by

Where,
h is the height,
$\rho$ is density,
g is gravity.

Pressure Formula is used to calculate pressure, force, area, density, height and gravity if some of these quantities are given. Pressure is expressed in Pascal (Pa).

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## Pressure Problems

Below are problems based on pressure which may be helpful for you.

### Solved Examples

Question 1: A 60 Kg girl wearing high heel shoes balances on a single heel. The heel is circular with a diameter of 1.5 cm. Find the pressure exerted by the heel on the horizontal floor?
Solution:

Given: Mass m = 60 kg,
Radius r = $\frac{D}{2}$ = $\frac{1.5 \times 10^{-2}}{2}$ m
Pressure is given by P = $\frac{F}{A}$
Force F = mg and Area A = $\pi$ r2
P = $\frac{mg}{\pi r^{2}}$
= $\frac{60 \times 9.8}{3.142 \times (0.75 \times 10^{-2})^{2}}$
= 3.32 $\times$ 106 Pa.

Question 2: A tank is filled with water is of height 1 m. Calculate the pressure exerted on the bottom of the tank.
(Density of water = 1000 kg / m3, Acceleration due to gravity = 9.8 m/s2).
Solution:

Given: Density of water = 1000 kg / m3,
Acceleration due to gravity = 9.8 m/s2
The pressure is given by P = $\rho$ $\times$ g $\times$ h
= 1000 $\times$ 9.8 $\times$ 1m
= 9800 Pascal.

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