Angular velocity and bicycle wheel

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Homework Help Overview

The discussion revolves around calculating the angular velocity of a bicycle wheel given its diameter and the speed of the bicycle. The subject area includes concepts of angular motion and linear velocity.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the relationship between linear velocity and angular velocity, suggesting the need to find the circumference of the wheel and how it relates to the distance traveled by the bicycle.

Discussion Status

Some participants have offered guidance on how to approach the problem by relating linear and angular velocities, while others are exploring the implications of the wheel's circumference in the context of distance traveled.

Contextual Notes

The original poster expresses uncertainty about where to begin, indicating a potential gap in understanding the foundational concepts involved in the problem.

JoeSouthern
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I am a little stuck with angular velocity and I do not know where to start on this one question.

A bicycle wheel has a diameter 60 cm. Determine its angular velocity in radians per seconds, when the bicycle travels at 20km/h

Could somebody please help as to where to start

Very much appreciated.
 
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You have to start. The speed of the bicycle determines the linear velocity of the rim relative to the center. Now find a relation between that and angular velocity.
 
Can you find the circumference of the wheel? If the wheel turns x times, how far does the bicycle go?
 
If I would drive 5 meters with my bicycle, then you could imagine that you will make the same path on the circumference of the wheel. Imagine your tires being stretched out flat on the road.
 

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