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MHT CET 2023 (9 May, Shift 2) · Non-Uniform Circular Motion

Non-Uniform Circular Motion question from MHT CET 2023 (9 May, Shift 2)

Q12MHT CET 2023 · 9 MAY · SHIFT 2Medium

Non-Uniform Circular Motion

A particle at rest starts moving with constant angular acceleration $4\text{ rad/s}^2$ in circular path. At what time the magnitudes of its tangential acceleration and centrifugal acceleration will be equal?

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Answer: (b)

Centrifugal acceleration has the same magnitude as centripetal: $\omega^2 r = \alpha^2 t^2 r$
Tangential: $a_t = \alpha r$
Equal: $\alpha^2 t^2 = \alpha \Rightarrow t = \frac{1}{\sqrt{4}} = 0.5$ s
So the answer is (b) 0.5 s.

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