Your pet hamster sits on a record player whose angular speed is constant. If he moves to a point twice as far from the center, then his linear speed A) doubles. B) halves. C) remains the same

Question

Your pet hamster sits on a record player whose angular speed is constant. If he moves to a point twice as far from the center, then his linear speed

A) doubles.

B) halves.

C) remains the same

Answer 1

v1 = r1 w

if w is constant and does not depend on the position of pet on the recorder, then

as r increases v also increased with the same manner. hence in this case v2 = 2r1 w = 2 v1

that is (A) doubles.