Question

The tangential velocity of a body in a non-uniform circular motion varies as v = 7t^2 – 2v with the radius being equal to 21 m. What is the angular acceleration at t = 2 s in rad/s^2?

(a) 4/3

(b) 5/3

(c) 4

(d) 7/5

I had been asked this question in semester exam.

This is a very interesting question from Non-Uniform Circular Motion in division Laws of Motion of Physics – Class 11

Answer 1

Correct choice is (a) 4/3

The explanation: The angular velocity is given as, ω = v/r. Hence, the function for angular velocity is ω = (7t^2 – 2)/21. On differentiating this expression, we will get the angular acceleration as t^2/3 On substituting, the suitable values, we will get the angular acceleration as 4/3 rad/s^2.