Uniform Circular Motion Bicycle Tire

AI Thread Summary
A spot of paint on a bicycle tire travels a linear distance of 1.66m along a circular path with a radius of 0.33m. To determine the angle through which the tire has rotated, the relationship between linear distance and angular displacement is used, specifically the formula s = rθ. The discussion also references the equations for velocity (v = rw) and angular velocity (ω = 2π/T), noting that time is not a factor in this particular problem. Participants emphasize the importance of understanding the relationship between linear and angular motion in uniform circular motion. The key takeaway is the application of the formula to find the angle of rotation based on the given distance and radius.
eagles12
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Homework Statement



A spot of paint on a bicycle tire moves in a circular path of radius .33m. When the spot has traveled a linear distance of 1.66m, through what angle has the tire rotated?

Homework Equations



v=rw
w=2∏/T


The Attempt at a Solution



1.66=2∏/T
1.66T=2∏
100∏/83
 
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hi eagles12! :smile:
eagles12 said:
A spot of paint on a bicycle tire moves in a circular path of radius .33m. When the spot has traveled a linear distance of 1.66m, through what angle has the tire rotated?
…
v=rw
w=2∏/T

T is the period (a time) …

this question has nothing to do with time :wink:​

in adition to v = rω, you also need to learn …

s = rθ

a = rα :smile:​
 
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