Angular and Tangential Variables

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The discussion revolves around calculating the angular speed of a chainsaw sprocket tip using the formula V_T = rw, where V_T is the linear speed, r is the radius, and w is the angular speed. The user initially calculated the angular speed as 206.98 rad/s, which seemed excessively high. After realizing the need to convert from radians to revolutions, they correctly calculated the angular speed as 32.95 rev/s. The user confirmed their final answer was correct upon submission. The interaction highlights the importance of unit conversion in physics problems.
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Hello,

I think I did this correctly, and I would just check but I'm running out of submissions for my homework so a quick varification would be greatly appreciated. :smile:

Here's the problem: The drawing shows the blade of a chain saw. The rotating sprocket tip at the end of the guide bar has a radius of 4.3x10^-2m. The linear speed of a chain link at point A is 8.9 m/s. Find the angular speed of the sprocket tip in rev/s.

http://www.webassign.net/CJ/08_63.gif]Drawing


So I just assumed I could use this equation to solve for the problem.

V_T = rw
8.9 = 0.043(w)
8.9 = 0.043w
206.98 = w

That seems really fast to me. But the section about this sort of problem in my book is extremely small and has no examples to follow. So I'm not sure what else I would need to be doing.

Thanks in advance for any help that is provided.
 
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You did not convert to revolutions...

1 Rev = 2piR m
 
Oh, right. So in converting my answer is 32.95. Would I be correct with that?
 
Nevermind, I took the plunge and submitted my answer with one submission left and thank goodness it was correct.

Thank you for your help Cyclovenom. :smile:
 

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