A wheel rotating at a speed of 600 rpm (revolutions per minute) about its axis is brought to rest by applying a constant torque for 10 seconds. Find the angular deceleration and the angular velocity 5 seconds after the application of the torque.
The angular deceleration is -1 rev/sec2 and angular velocity is 5 rev/sec
Given
The wheel rotates at a speed of 600 rpm, at constant torque for 10 seconds.
Formula Used
where
The initial velocity of the motion is denoted by ω and the final velocity is denoted by ω0
Explanation
First let us find the angular acceleration of the rotating wheel which is
The angular velocity is taken in terms of rad/sec which is 10 and the time taken to rotate is 10 sec
Now finding the angular deceleration after 5 seconds we get
1