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Constant angular acceleration

Now we can, understand the motion of a wheel with constant angular acceleration tex2html_wrap_inline653 .

The math of this is identical to one dimensional kinematics with constant acceleration. So we can just crib what we did before changing the name of variables. With one dimensional motion you've got

eqnarray65

So lets change variable names:

eqnarray69

With these name changes we get the back the same equations we just defined above namely

eqnarray71

So rotation with constant angular acceleration alpha is mathematically the same as motion with constant acceleration a. Doing the name substitution we have

     eqnarray75





Joshua Deutsch
Wed Jan 22 17:07:34 PST 1997