A body performing uniform circular motion of radius ' $R$ ' has frequency ' $n$ '. Its centripetal…

A body performing uniform circular motion of radius ' $R$ ' has frequency ' $n$ '. Its centripetal acceleration is
  1. $8 \pi^2 nR^2$
  2. $4 \pi^2 n^2 R$
  3. $4 \pi^2 n^2 R^2$
  4. $8 \pi^2 n^2 R$

Solution

Centripetal acceleration $a=r \omega^2=R(2 \pi n)^2$ $=4 \pi^2 n^2 R$

Asked in: MHT CET 2021 (22 Sep Shift 1)

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