Physics Two Dimensional Motion Question 319

Question: If a cycle wheel of radius 4 m completes one revolution in two seconds.Then acceleration of a point on the cycle wheel will be

[Pb. PMT 2001]

Options:

A) $ {{\pi }^{2}}m/s^{2} $ B)$ 2{{\pi }^{2}}m/s^{2} $ C) $ 4{{\pi }^{2}}m/s^{2} $ D)$ 8\pi ,m/s^{2} $

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Answer:

Correct Answer: C

Solution:

Centripetal acceleration$ =4{{\pi }^{2}}n^{2}r=4{{\pi }^{2}}{{( \frac{1}{2} )}^{2}}\times 4=4{{\pi }^{2}} $