The Equations of Rotational Motion
The equations of linear motion are
| Where u=initial velocity v=final velocity a=acceleration t=time s=displacement |
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These equations have analogous equations for motion in a circle. These equations arise directly from the equation arc length = radius*angle ( in radians) or
If we differentiate s= r %theta with respect to time we have
where
is called the angular velocity and differentiating again gives a
where
is called the angular acceleration.
Substitute
and
in the equations of motion to get
Divide the first, second, third and fifth by
and the fourth by
to get
