velocity of an album find the angular velocity in radians pe

velocity of an album find the angular velocity in radians per second and linear velocity in inches per minute for a point on the edge of a 12 in diameter record spinning at 33 1/3 rev/ min

Solution

spinning at 33 1/3 rev/min= 100/3 rev /min

(in sec)                           = 0.55 rev/sec

Angular velocity            = 0.55*2pi = 3.45 rad/sec

Linear velocity = angular velocity x radius = 3.45 x (12/2) = 20.73 inc/sec