# The radius of a body moving in a circle with constant angular velocity is given by r = 4t^2, with respect to time. What is the magnitude of the tangential velocity at t = 2s, if the angular velocity is 7 rad/s?

Category: QuestionsThe radius of a body moving in a circle with constant angular velocity is given by r = 4t^2, with respect to time. What is the magnitude of the tangential velocity at t = 2s, if the angular velocity is 7 rad/s?
Editor">Editor Staff asked 1 year ago

The radius of a body moving in a circle with constant angular velocity is given by r = 4t^2, with respect to time. What is the magnitude of the tangential velocity at t = 2s, if the angular velocity is 7 rad/s?

(a) 112

(b) 113

(c) 56

(d) 28

The question was posed to me in quiz.

This key question is from Non-Uniform Circular Motion in division Laws of Motion of Physics – Class 11
Select the correct answer from above options
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Editor">Editor Staff answered 1 year ago

Correct option is (a) 112

To explain: The tangential velocity is given as v = ωr. At t = 2s, r = 16 units. The angular velocity is 7 rad/s. Hence, the tangential velocity, v = 7 x 16 = 112 units/s.

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