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A cyclist is moving in a circular path of radius 15 m with a speed of 6 m/s. Wha
A cyclist is moving in a circular path of radius 15 m with a speed of 6 m/s. What is the angular velocity of the cyclist?
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Practice Questions
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Q1
A cyclist is moving in a circular path of radius 15 m with a speed of 6 m/s. What is the angular velocity of the cyclist?
0.4 rad/s
0.6 rad/s
0.8 rad/s
1.0 rad/s
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Angular velocity (ω) = v/r = 6 m/s / 15 m = 0.4 rad/s.
Questions & Step-by-step Solutions
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Q
Q: A cyclist is moving in a circular path of radius 15 m with a speed of 6 m/s. What is the angular velocity of the cyclist?
Solution:
Angular velocity (ω) = v/r = 6 m/s / 15 m = 0.4 rad/s.
Steps: 6
Show Steps
Step 1: Identify the given values. The speed (v) of the cyclist is 6 m/s and the radius (r) of the circular path is 15 m.
Step 2: Understand the formula for angular velocity (ω). The formula is ω = v / r.
Step 3: Substitute the values into the formula. Replace v with 6 m/s and r with 15 m.
Step 4: Calculate the angular velocity. Perform the division: 6 m/s divided by 15 m.
Step 5: Simplify the result. 6 divided by 15 equals 0.4.
Step 6: State the final answer. The angular velocity of the cyclist is 0.4 rad/s.
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