How to find Angular Speed when given frequency?

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Homework Help Overview

The problem involves calculating the average angular speed of a bike riding around a floral clock with a specified radius and frequency of revolutions. The subject area pertains to angular motion and kinematics.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the calculation of angular speed using the number of revolutions and the time taken. There is uncertainty about the relevance of the radius in the calculation.

Discussion Status

Some participants have provided calculations and questioned the divisor used in the formula. There is a recognition of differing answers, and one participant acknowledges a mistake in their earlier response.

Contextual Notes

The discussion includes a conversion of time from minutes to seconds, which is a critical step in the calculation. There is also an implicit assumption regarding the relationship between linear and angular speed.

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   Reactions: Tom.G
Oops, my mistake. You are right.
Sorry.
 

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