Question

A CD spins with an angular speed 45 radians/second. What is the linear speed 7
cm from the centre of the CD? (Give the values in two decimal places)​

Answer 1

Given:

A CD spins with an angular speed 45 radians/second. 7 cm from the centre of the CD.

To find:

What is the linear speed?

Solution:

From the given information, we have the data as follows.

A CD spins with an angular speed 45 radians/second. 7 cm from the centre of the CD.

The relation between the angular speed and the linear speed is given as follows.

v = wr

Where w is the angular speed and r is the radius.

Substitute the given values in the above formula.

v = 45 × 7

v = 315 cm/s

Therefore, the linear velocity is 315 cm/s.