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A particle moves in a circle of radius 3 m with a speed of 6 m/s. What is the an
A particle moves in a circle of radius 3 m with a speed of 6 m/s. What is the angular velocity of the particle?
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Practice Questions
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Q1
A particle moves in a circle of radius 3 m with a speed of 6 m/s. What is the angular velocity of the particle?
1 rad/s
2 rad/s
3 rad/s
4 rad/s
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Angular velocity ω = v/r = 6 m/s / 3 m = 2 rad/s.
Questions & Step-by-step Solutions
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Q
Q: A particle moves in a circle of radius 3 m with a speed of 6 m/s. What is the angular velocity of the particle?
Solution:
Angular velocity ω = v/r = 6 m/s / 3 m = 2 rad/s.
Steps: 6
Show Steps
Step 1: Identify the speed of the particle, which is given as 6 m/s.
Step 2: Identify the radius of the circle, which is given as 3 m.
Step 3: Use the formula for angular velocity, which is ω = v / r.
Step 4: Substitute the values into the formula: ω = 6 m/s / 3 m.
Step 5: Calculate the result: 6 divided by 3 equals 2.
Step 6: Conclude that the angular velocity of the particle is 2 rad/s.
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