# Angular Acceleration of Flywheel

1. Feb 26, 2008

### JamesCalculus

Hi, i would be grateful if anyone could help me find out the angular acceleration and angular velocity of a flywheel?

The flywheel is made from solid steel 500mm diamter x 78mm thick and is supported by two free running bearings (frictionless). The flywheel is rigidly attached to a 30mm diameter spindle. When a torque of 150Nm is applied to thr spindle for 5 seconds i need to know the angular acceleration of the flywheel and also it's angular velocity after 5 seconds.

Thanks to anyone who can help!

2. Feb 26, 2008

### FredGarvin

$$T=I\alpha$$

Once you have alpha, you can use the constant acceleration equations for motion to calculate the velocity after 5 seconds.