Question

A DVD with a radius of 6 centimeters rotates at a speed of 243 revolutions per minute. Find the liner speed in centimeters per second.

Answer 1

152.7 cm/s

Explanation:

The radius of DVD, r = 6 cm

The angular speed of DVD,
`\omega=243\ rev/min=25.45\ rad/s`

We need to find the linear speed of the DVD.

The relation between linear speed and angular speed is given by :

`v=r\omega\\\\v=0.06* 25.45\\\\v=1.527\ m/s`

or

v = 152.7 cm/s

So, the linear speed of the DVD is 152.7 cm/s.