Types of Acceleration in Rotation Video Lessons

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Problem: A rotating platform of radius R = 4.5 cm starts from rest and accelerates with uniform angular acceleration α = 42 rad/s. Part (a) Write an expression for the time at which the magnitudes of the centripetal and tangential accelerations at the edge will be equal.Part (b) Calculate the time, t in seconds, for when the magnitudes of the centripetal and tangential accelerations at the edge are equal.

FREE Expert Solution

Part (a)

ar = at

But, ar = v2/R

ar = Rα

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Problem Details

A rotating platform of radius R = 4.5 cm starts from rest and accelerates with uniform angular acceleration α = 42 rad/s. 

Part (a) Write an expression for the time at which the magnitudes of the centripetal and tangential accelerations at the edge will be equal.

Part (b) Calculate the time, t in seconds, for when the magnitudes of the centripetal and tangential accelerations at the edge are equal.

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