How to find Angular Speed when given frequency?

AI Thread Summary
To find the average angular speed of a bike riding around a floral clock with a radius of 15.5 m, the formula ω = velocity/radius is used. The calculation involves converting the number of revolutions into radians, resulting in (16 rev * 2π rad) over 270 seconds, yielding an angular speed of approximately 0.372 rad/s. A participant initially questioned the relevance of the radius in this context but was corrected, confirming that the radius does not affect the angular speed calculation directly. The discussion highlights the importance of accurately converting time units and understanding the relationship between revolutions and radians. The final answer is confirmed as correct, emphasizing the simplicity of the angular speed calculation.
Fernando Calvario
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Homework Statement


A floral clock in Japan has a radius of 15.5 m. If you ride a bike around the clock, making 16.0
revolutions in 4.50 min, what is your average angular speed?

Homework Equations


ω = velocity/radius ; 1 rev=2*pi rad

The Attempt at a Solution


(16 rev*2*pi rad)/270 secs = 0.372 rad/s ...Not sure about this since I don't know what to do with the r
 
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Hi Fernando Calvario and welcome to PF.

Fernando Calvario said:
(16 rev*2*pi rad)/270 secs = 0.372 rad/s ...Not sure about this since I don't know what to do with the r
Do nothing with r. You have answered the question.
 
I get a slightly different answer. Where did the value of the divisor come from in your formula?
 
4.5minutes*60 secs
 
  • Like
Likes Tom.G
Oops, my mistake. You are right.
Sorry.
 

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