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A car is moving in a circular track of radius 100 m at a speed of 20 m/s. What i
A car is moving in a circular track of radius 100 m at a speed of 20 m/s. What is the time period of one complete revolution?
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Q1
A car is moving in a circular track of radius 100 m at a speed of 20 m/s. What is the time period of one complete revolution?
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Circumference = 2πr = 2π(100) = 200π m. Time period (T) = Circumference / Speed = 200π / 20 = 10π s.
Questions & Step-by-step Solutions
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Q
Q: A car is moving in a circular track of radius 100 m at a speed of 20 m/s. What is the time period of one complete revolution?
Solution:
Circumference = 2πr = 2π(100) = 200π m. Time period (T) = Circumference / Speed = 200π / 20 = 10π s.
Steps: 8
Show Steps
Step 1: Identify the radius of the circular track, which is given as 100 meters.
Step 2: Use the formula for the circumference of a circle, which is Circumference = 2πr.
Step 3: Substitute the radius into the formula: Circumference = 2π(100).
Step 4: Calculate the circumference: Circumference = 200π meters.
Step 5: Identify the speed of the car, which is given as 20 meters per second.
Step 6: Use the formula for time period (T), which is T = Circumference / Speed.
Step 7: Substitute the values into the formula: T = 200π / 20.
Step 8: Simplify the calculation: T = 10π seconds.
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