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If theta is considered small in problems

by M. next
Tags: considered, theta
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M. next
May10-12, 09:27 AM
P: 378
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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May10-12, 09:36 AM
P: 11,911
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
May10-12, 10:35 AM
P: 378

May10-12, 10:54 AM
Sci Advisor
Nabeshin's Avatar
P: 2,193
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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