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A particle moves in a circle of radius 5 cm with constant speed and time period \(0.2\pi\) s. The acceleration of the particle is:

1. 15 m/s\(^2\)
2. 25 m/s\(^2\)
3. 36 m/s\(^2\)
4. 5 m/s\(^2\)

Correct answer: 25 m/s\(^2\)

Solution

For uniform circular motion, centripetal acceleration is \(a = \frac{4\pi^2 r}{T^2}\). With \(r = 0.05\,\text{m}\) and \(T = 0.2\pi\,\text{s}\), the value comes out to \(25\,\text{m/s}^2\).

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