**Show that centripetal force is also shown by **

ANSWER

Centripetal force is the one that compels the body to move in the circle. Mathematically, it is given by the Newton’s Second Law of motion by putting , where a_{c} represents the centripetal acceleration.

Please note that the minus sign indicates that the force is center-seeking whereas radius is directed away from the center.

Now let’s multiply RHS by 1 = r/r,

Since therefore,

Similarly v/r = ω , therefore, the above equation becomes,

From equations (1), (3) and (2)

This proves the result.

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