How to Find Angular Velocity from Linear Speed?

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To find the angular velocity from linear speed, the relationship between linear speed (v), radius (r), and angular velocity (ω) is crucial. The formula ω = v/r applies, where v is the linear speed and r is the radius of the circle. In this case, with a radius of 20 cm (0.2 m) and a linear speed of 10 m/s, the angular velocity can be calculated as ω = 10 m/s ÷ 0.2 m, resulting in 50 rad/s. Understanding the definitions of radians and the relationship between linear and angular measurements is essential for solving such problems. This discussion emphasizes the importance of grasping these fundamental concepts in physics.
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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

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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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