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MHT CET 2023 Physics question

PhysicsLaws of MotionMHT CET 2023

A particle at rest starts moving with constant angular acceleration 4 rad/s² in circular path. At what time the magnitudes of its tangential acceleration and centrifugal acceleration will be equal?

Answer: (B)

Solution

Let the circle have radius and rad/s². Tangential acceleration . Starting from rest, , so the centripetal (centrifugal, in magnitude) acceleration is . Setting

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Question ID VK-094537