Question

derive an expression for centripetal acceleration hence find the formula for centripetal force​

Answer 1

Answer:

Centripetal force is measured in Newtons and is calculated as the mass (in kg), multiplied by tangential velocity (in meters per second) squared, divided by the radius (in meters). This means that if tangential velocity doubles, the force will quadruple.

Answer 2

The expression for centripetal acceleration and centripetal force is as follows :

Explanation:

When an object moves with some velocity v in a circular path of radius r, the motion is said to be circular. In this type of motion, the centripetal acceleration of the object is given by :

$a=\dfrac{v^2}{r}$

We know that the product of mass and its acceleration is called force. Here, the force acting on the object in circular path is called centripetal force. It is given by :

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

m is the mass of the object

Hence, this is the required solution.

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