What is the Angular Velocity of a Point Moving in a Circular Path?

Sheen91
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Homework Statement



[PLAIN]http://img707.imageshack.us/img707/2066/question3.jpg

Homework Equations



v = r' \hat{r} + r*θ' (^θ)

The Attempt at a Solution



I was sure I knew how to do this question but made a mistake somewhere, because my answer is not right. So here is my working out.

l r' l = 11mm/s
Θ' = ?
r = 78mm

Looking at the question above.

[PLAIN]http://img20.imageshack.us/img20/8729/lolbo.jpg
 
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The angular velocity is usually given in radian/s. Check the answer in your book. Otherwise your result looks OK.

ehild
 


There are two answer rads/s and degs/s, both are not the same as my answer.

I definitely did something wrong.
 


The sign can be wrong. The velocity shown makes the angle θ smaller.

ehild
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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