Question

A man with a weight of 740 N is standing on one leg. His foot is exerting 2500 N/m2 of pressure onto the ground. What is the surface area of the bottom of his foot?​

Answer 1

The surface area of the foot is 3.38m

Answer 2

Given:

A man with a weight of 740 N is standing on one leg. His foot is exerting 2500 N/m2 of pressure onto the ground.

To find:

Surface area of bottom of his foot ?

Calculation:

Pressure is often defined as the total perpendicular force on a surface divided by the surface area.

$\rm \therefore \: pressure = \dfrac{force}{area}$

$\rm = > \: area= \dfrac{force}{pressure}$

$\rm = > \: area= \dfrac{740}{2500}$

$\rm = > \: area= \dfrac{74}{250}$

$\rm = > \: area= 0.296 \: {m}^{2}$

So area of bottom of foot is 0.296 m².

OTHER THINGS TO KNOW:

• Since, pressure is inversely proportional to the area (considering force constant), it means lower area corresponds to higher pressure and vice-versa.

• Thats why bags of children have a wide strap to reduce pressure on the children's shoulder.

• There are many similar applications.

Hope It Helps.