Question

A music album 6 in radius rotates at a constant rate of 78 revolutions per minute. Find the
speed and angular acceleration of the album.

Answer 1

• r=6in
• angular velocity=78rev/min

$\\ \tt\hookrightarrow v=r\omega$

$\\ \tt\hookrightarrow v=6(78)=468rad/s$

And

$\\ \tt\hookrightarrow \alpha=v^2/r$

$\\ \tt\hookrightarrow \alpha=(468)^2/6=219026/6=36504rad/s^2$