For a rotational motion with constant angular acceleration, α, we have:

$\overline{){\mathbf{\alpha}}{\mathbf{=}}\frac{\mathbf{d}\mathbf{\omega}}{\mathbf{d}\mathbf{t}}}$

The kinematic equations (motion with constant acceleration) for motion in one dimension are:

Where v is velocity and a is acceleration. For rational motion, we can define an angular velocity w and angular a, and the equation above become:

More generally we have the following definitions:

and

Use the relationships above to derive the equations of motion for rotation with constant rotational acceleration using both algebra and calculus based approaches

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