STANDARD Physics Centripetal Acceleration MCQ Question
In the given figure, a = 15 m s⁻² represents the total acceleration of a particle moving in the clockwise direction in a circle of radius R = 2.5 m at a given instant of time. The speed of the particle is
4.5 m s⁻¹
5.0 m s⁻¹
5.7 m s⁻¹
6.2 m s⁻¹
Correct Answer
Detailed Explanation
The centripetal acceleration a_c = a cos 30° = 15 × √3/2 m s⁻². Using a_c = v²/R, we find v = √(a_c × R) = √(15 × √3/2 × 2.5) ≈ 5.7 m s⁻¹.
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