if theta is considered small in problems


by M. next
Tags: considered, theta
M. next
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#1
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
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#2
May10-12, 09:36 AM
Mentor
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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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#3
May10-12, 10:35 AM
P: 354
thanks

Nabeshin
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#4
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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