The angular displacement,`theta`, describes the amount of rotation about the axis of rotation.  This equation computes the angular displacment of a rigid body when the applied moment about a fixed axis is constant.  The angular displacement can be integrated with respect to time, starting at time t = 0.

The graphic shows the portion of the total displacement due to initial velocity and angular acceleration during the period `t-t_0`

The inputs to this equation are:

• `theta_0` - instal angular displacement
• `omega_0` - initial angular velocity
• `t` - elapsed time after t = 0
• `alpha` - angular acceleration

author: Michael Bartmess

Notes

In physics, the angular displacement is defined as the total rotation occurring in a period of time, t.

In this equation, angular displacement, `theta`, is the sum of the displacement over time during which angular acceleration occurs and the displacement due to initial angular velocity.