if theta is considered small in problems

by M. next
Tags: considered, theta
M. next
M. next is offline
May10-12, 09:27 AM
P: 354
we know when theta is considered small enough, sin(theta) is approximately equal to theta. Ok, the question is what happens to theta dot(the time derivative of theta)?
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mfb is offline
May10-12, 09:36 AM
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If [itex]\theta[/itex] is small all the time, the time-derivative of [itex]sin(\theta)[/itex] is approximately the time-derivative of [itex]\theta[/itex].
M. next
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May10-12, 10:35 AM
P: 354

Nabeshin is offline
May10-12, 10:54 AM
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if theta is considered small in problems

Another way of seeing the above is that the time derivative of sin is cosine, and when theta is small cosine is approximately equal to one.

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