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A car is moving in a circular path of radius 50 m with a speed of 15 m/s. What i
A car is moving in a circular path of radius 50 m with a speed of 15 m/s. What is the angular displacement after 10 seconds?
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A car is moving in a circular path of radius 50 m with a speed of 15 m/s. What is the angular displacement after 10 seconds?
1 rad
2 rad
3 rad
4 rad
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Angular displacement θ = (v/r)t = (15/50)(10) = 3 rad.
Questions & Step-by-step Solutions
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Q
Q: A car is moving in a circular path of radius 50 m with a speed of 15 m/s. What is the angular displacement after 10 seconds?
Solution:
Angular displacement θ = (v/r)t = (15/50)(10) = 3 rad.
Steps: 5
Show Steps
Step 1: Identify the given values. The speed of the car (v) is 15 m/s, the radius of the circular path (r) is 50 m, and the time (t) is 10 seconds.
Step 2: Use the formula for angular displacement (θ) which is θ = (v/r) * t.
Step 3: Calculate the ratio of speed to radius (v/r). This is 15 m/s divided by 50 m, which equals 0.3.
Step 4: Multiply the result from Step 3 by the time (t). So, 0.3 * 10 seconds equals 3 radians.
Step 5: Conclude that the angular displacement after 10 seconds is 3 radians.
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