# Pressure Formula

## Pressure Formula

Pressure is the force applied by one object on the another. It is symbolized by P.
Pressure is articulated as force per unit area articulated as

$P\,&space;=\,&space;\frac{F}{A}$

Where,
F = Force applied by the body,
A = Total area of the object.
Pressure Formula is given by

$P\,&space;=\,&space;\rho\,&space;\times\,&space;g\,&space;\times\,&space;h$

Where,
the height is h,
density is ρ,
gravity is g
Pressure Formula is made use of to compute pressure, force, area, density, height and gravity if some of these numerics are provided. Pressure is articulated in Pascal (Pa).

Pressure Solved Examples
Underneath are problems based on pressure which may be helpful for you.

Problem 1: A 60 Kg girl wearing high heel shoes stabilizes herself on a single heel. The heel is rounded with a diameter of 1.5 cm. Calculate the pressure applied by the heel on the horizontal floor?

$Given:\,&space;mass\,&space;m\,&space;=\,&space;60\,&space;kg,$

$Radius\,&space;r\,&space;=\,&space;\frac{D}{2}\,&space;=\,&space;\frac{1.5\times&space;10^{-2}}{2}m$

$Pressure\,\,&space;is\,&space;given\,\,&space;by\,\,&space;p\,&space;=\,&space;\frac{F}{A}$

$Force\,&space;F\,&space;=\,&space;mg\,&space;and\,&space;Area\,&space;A\,&space;=\,&space;\pi\,&space;r^{2}$

$P\,&space;=\,&space;\frac{mg}{\pi&space;r^{2}}$

$=\,&space;\frac{60\times&space;9.8}{3.142\times&space;\left&space;(&space;0.75\times&space;10^{-2}&space;\right&space;)^{2}}$

$=\,&space;3.32\,&space;\times\,&space;10^{6}Pa.$

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

Known:

Acceleration due to Gravity = 9.8 m/s2
Density of water = 1000 kg / m3,
The pressure is articulated as

P = ρ × g × h

P = 1000 × 9.8 × 1m
P = 9800 Pascal.

#### Practise This Question

Which one of the following lies between 0.3 and 0.7?