Question

what is centripetal acceleration? Derive expression for the centripetal acceleration and hence fir centripetal force of a moving in a circular path of radius 'r' with velocity 'v'​

Answer 1

Answer:

Centripetal Force :-

Newton's second law tells us that when a particle accelerates, there must be a net force acting on the particle in the direction of its acceleration. Following this law, as the particle in uniform circular motion accelerates radially inwards, the particle must experience a net force directed radially inwards (centripetal). Hence, we call this centripetal force.

We know that,

$F=ma$

Centripetal Force = mass × centripetal acceleration,

$F=\dfrac{mv^2}{r}$