Velocity

Question

Ant stands at edge of potters wheel with diameter of 9 inches. The wheel spins at 440 revolutions per minute. What's the ants velocity? What's the ants linear velocity?

Answer 1

Ant stands at edge of potters wheel with a diameter is .

The wheel spins at angular velocity.

To convert rpm (revolutions per minute) to radians per second,

first note that there are radians per revolution.

The relation between is  , where is the radius of the wheel.

Radius is .

Inches is convert into metres is

Here the angular velocity must use radians.

Linear velocity is

The linear velocity