Question

A Blu-ray disc is approximately 12 centimeters in diameter. The drive motor of the Blu-ray player is able to rotate up to 10,000 revolutions per minute, depending on what track is being read. (a) Find the maximum angular speed (in radians per second) of a Blu-ray disc as it rotates.

Answer 1

The max angular speed is 1047.19 rad/s

Solution:

As per the question:

No. of revolution, N = 10,000 rpm (revolution per minute)

Diameter of the disc, d = 12 cm = 0.12 m

Now,

The maximum angular speed of the disc in radians per second (rps) when the disc rotates is given by:

(a) Maximum angular speed,
`\omega_(m) = (2\pi N)/(60)`

`\omega_(m) = (2\pi* 10000)/(60) = 1047.19\ rad/s`