Question

Centripetal force (F) of an object moving along the circumference of a circle depends
on its mass (m), velocity (v) and radius (r) of the circle. Derive an expression for the
centripetal force using the method of dimensions,​

Answer 1

Answer:

proof attached below

Explanation:

f=ma

we take dimensions

Mass = [M]

Velocity= d/t= [L]/[T]=[LT¬1]

Radius = Length = [L]

k is some constant

we compared supposed equation to force dimensions and found MLT¬2

which can be wrtiiten as centripital force formula