Angular Velocity [SOLVED] for Flywheel Generator Problem

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SUMMARY

The discussion addresses the calculation of angular velocity for a flywheel generator, specifically using the angular acceleration formula a(t) = 6bt - 12ct². The initial attempt to derive angular velocity w = w0 + at = w0 + 6bt² - 12ct³ was identified as incorrect. The key takeaway is that the equations for angular motion cannot be directly applied as they are for linear motion when angular acceleration is not constant.

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[SOLVED] Angular velocity

Homework Statement



The angular acceleration of a flywheel of a generator is given by

a(t) = 6bt - 12ct2

What is the angular velocity at t when the initial velocity is w0?


The Attempt at a Solution



w = w0 + at = w0 + 6bt2 - 12ct3


This is wrong according to my book. Can't I use the same equations for angular motion as for linear motion?
 
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The equation you have written is for solving angular velocity when the angular acceleration is constant.
 

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