Question

in a rigid body rotates by 500 in 5 minutes,
the angular speed of the body is (in rad/s)​

Answer 1

Answer:

Assuming the angle measured to be 500 degrees, I am solving this question.

Angular Speed ( w ) = Angle covered in radians / Time taken in seconds

⇒ Angle covered in radians = 500° × π / 180°

⇒ Angle covered in radians = 25π/9 radians

Time taken in seconds = 5 minutes × 60 seconds = 300 seconds

⇒ Angular Speed ( w ) = (25π/9) / 300

⇒ Angular Speed ( w ) = ( 25π / 2700 ) = ( π / 180 ) rad/sec

Hence the angular speed of the rigid body is ( π/180 ) rad/sec.

Hope it helped !!