Physics Two Dimensional Motion Question 328

Question: A particle moves with constant speed v along a circular path of radius r and completes the circle in time T. The acceleration of the particle is

[Orissa JEE 2002]

Options:

A) $ 2,\pi ,v/T $ B)$ 2,\pi ,r/T $ C) $ 2,\pi ,r^{2}/T $ D) $ 2,\pi ,v^{2}/T $

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Answer:

Correct Answer: A

Solution:

Acceleration$ ={{\omega }^{2}}r=\frac{v^{2}}{r}=\omega v=\frac{2\pi }{T}v $