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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

Respuesta :

Answer:

C. Increase by a factor of two.

Explanation:

Lets take angular speed = [tex]\omega \ rad/s[/tex]

Initially radius = r m

The tangential velocity = v m/s

We know that

[tex]v=\omega r[/tex]

If the radius becomes double ,lets say r'

r'= 2 r

Then

The tangential velocity = v' m/s

[tex]v'=\omega r'[/tex]

[tex]v'=\omega (2r)[/tex]

[tex]v'=2\omega r[/tex]

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.

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