How to Find Angular Velocity from Linear Speed?

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SUMMARY

The discussion focuses on calculating angular velocity from linear speed for a particle moving in a circle with a radius of 20 cm and a linear speed of 10 m/s. The key formula to use is the relationship between linear speed (v), angular velocity (ω), and radius (r), expressed as ω = v/r. Applying this formula, the angular velocity is determined to be 50 radians per second. Participants also emphasize the importance of understanding the definitions of radians and angular velocity in solving such problems.

PREREQUISITES
  • Understanding of angular velocity and its relationship to linear speed
  • Familiarity with the formula ω = v/r
  • Basic knowledge of radians as a unit of angle measurement
  • Concept of circular motion and its properties
NEXT STEPS
  • Study the derivation of the formula ω = v/r in circular motion
  • Learn about the conversion between linear speed and angular velocity
  • Explore the concept of radians and their application in circular motion
  • Investigate real-world applications of angular velocity in physics and engineering
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and circular motion, as well as educators looking for clear explanations of angular velocity concepts.

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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