if theta is considered small in problems

M. next

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)?

mfb

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

thanks

Nabeshin

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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M. next	if theta is considered small in problems 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)?

mfb Mentor	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].

Nabeshin Recognitions: Science Advisor	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.