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A particle moves with constant speed v along a circular path of radius r and completes

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

Options

(a) 2πv/T
(b) 2πr/T
(c) 2πr²/T
(d) 2πv²/T

Correct Answer:

2πv/T

Explanation:

Centripetal acceleration = v² / R = v × (v/R) a = v × ω (Therefore, ω = v/R) a = (v × 2π)/T.

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