How to Find Angular Velocity from Linear Speed?

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Homework Help Overview

The problem involves a particle moving in a circular path with a specified radius and linear speed, leading to a query about finding angular velocity. The subject area pertains to rotational motion and the relationship between linear and angular quantities.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to find angular velocity but expresses difficulty in their attempts. Some participants question the understanding of radians and the relationship between linear speed and angular velocity, while others seek clarification on the definitions involved.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the problem and questioning the definitions of key terms. Guidance has been offered regarding the understanding of radians and the relationship between linear and angular measurements.

Contextual Notes

There appears to be some confusion regarding the units of measurement, specifically between linear speed (m/s) and angular measurement (radians), which is being discussed among participants.

shania
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Homework Statement


the question is a particle move in a circle of radius 20cm with a linear speed of 10 m\s find angular angular velocity ! i have tried it many time's but it didn't worked

Homework Equations

The Attempt at a Solution



[Moderator note: Question content moved here from second post]
 
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shania said:
the question is a particle move in a circle of radius 20cm with a linear speed of 10 m\s find angular angular velocity ! i have tried it many time's but it didn't worked
How long will it take to complete a circle? How many radians in a full circle?
 
What is your understanding of the definition of a radian? If you have an arc of a circle of length s, and the radius of the circle is r, what is the angle in radians that is subtended by the arc?

Chet
 
I don't understand you're question, Shania, m/s is a unit for velocity, but radians is a unit for angle measurement.
What is you're interpretation of angular velocity?
 

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