Question

a cylindrical block of radius R and mass M is lying on the table if its radius is doubled and mass is tripled then what happened to the pressure acting on the table

Answer 1

concept of pressure concept of pressure

Answer 2

Pressure on table will be 3/4 times of original pressure.

Pressure is defined as "the force applied perpendicular to the surface of an object per unit area."

Formula to calculate pressure is given by -

P= F/A.

P= pressure, F= force, A= area

Force and area are calculated by given formula-

F= mg

A= 4πr²

M= mass, R= radius

According to given condition in question- r'= 2r and m'= 3m

P'= 3mg/4π(2r)²

P'= 3mg/4π4r²

P'= 3/4P

Hence, new pressure will be 3/4 times of original pressure.