(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

All right, the problem is that I have a motor that's acceleration at a rate of a = 6 theta rad/s^2. For the bigger problem that this is part of, I need to find out the velocity function. How do I do this if a isn't given in terms of t?

2. Relevant equations

omega = d theta/dt a = d omega / dt

3. The attempt at a solution

All I can think of is that

a = 6 theta

integrate both sides for t

v = 6 theta t

theta = 3 theta t^2? that doesn't make sense!

and theta is really theta(t), so how can I integrate that function if I don't know what i is?

help me calculus gurus!

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# Acceleration as a function of displacement

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