Question

a point on the edge of a flywheel with a radius of 12 cm is rotating at a rate of 9 radians per second. what is the linear speed of a point on its rim, in centimeters per minute?
the linear speed is approximately □ cm/min.
(round to the nearest integer as needed)

Explanation:

Step1: Recall the formula for linear speed

The formula for linear speed \(v\) is \(v = r\omega\), where \(r\) is the radius and \(\omega\) is the angular speed. Given \(r = 12\) cm and \(\omega=9\) radians per second.

Step2: Convert the angular speed to radians per minute

Since there are \(60\) seconds in a minute, \(\omega = 9\times60=540\) radians per minute.

Step3: Calculate the linear speed

Using \(v = r\omega\), substitute \(r = 12\) and \(\omega = 540\). So \(v=12\times540 = 6480\) cm/min.

Answer:

\(6480\)