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
doubles

halves

remains the same

Answer 1

Answer:

doubles

Explanation:

The relationship between angular speed and linear speed in case of a circular motion is the following:

$v=\omega r$

where

v is the linear speed

$\omega$ is the angular speed

r is the distance from the centre of the circular path

In this proble, the pet hamster moves to a point twice as far from the center; this means that its distance from the centre, r', is doubled:

$r'=2r$

While the angular speed $\omega$ remains the same. Therefore, the new linear speed is

$v'=\omega r' = \omega (2r)=2 \omega r=2v$

So, the correct answer is

the linear speed doubles