Question

The angular speed of a body in uniform circular motion is the same as the angular frequency of SHM of its projection. True or False?

(a) True

(b) False

I got this question in an internship interview.

The doubt is from Oscillations in portion Oscillations of Physics – Class 11

Answer 1

Correct choice is (a) True

To elaborate: Let the angular speed of the body be w.                                                                                                  Let it start from rest from the x-axis.                                                                                                                            At any time the angle it has covered is wt.                                                                                                                  The projection on x-axis is then given by: x = Asin(wt).                                                                                                  Thus, angular speed is the same as angular frequency of SHM.