Question

A compact disc has a radius of 6 cm. As the cd player powers up, the disc has an angular acceleration of 1.2 rad/s^2. The disc is at full speed after 3 seconds. Determine the angular velocity of the disc once it is at full speed.

Answer 1

Answer:

3.6 rad/s

Explanation:

Given that,

Radius of a compact disc is 6 cm

The angular acceleration of the disc is 1.2 rad/s²

Time, t = 3 seconds

We ned to find the angular velocity of the disc once it is at full speed. The relation between the angular velocity and angular acceleration is given as follows :

$\alpha =\dfrac{\omega}{t}\\\\\because\ \omega=\text{angular velocity}\\\\\omega=\alpha t\\\\\omega=1.2\times 3\\\\\omega=3.6\ rad/s$

So, the angular velocity of the disc is 3.6 rad/s.