Question

If you double the radius, for a fixed angular velocity, the tangential velocity will:a. Decrease by halfb. Stay the samec. Increase by a factor of twod. Increase by a factor of four

Answer 1

Answer:

C. Increase by a factor of two.

Explanation:

Lets take angular speed = $\omega \ rad/s$

Initially radius = r m

The tangential velocity = v m/s

We know that

$v=\omega r$

If the radius becomes double ,lets say r'

r'= 2 r

Then

The tangential velocity = v' m/s

$v'=\omega r'$

$v'=\omega (2r)$

$v'=2\omega r$

v' = 2 v

Then we can say that velocity will become double.

Therefore the answer will be C.

C. Increase by a factor of two.