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

C. Increase by a factor of two.

Step-by-step 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.