A car is moving in a circular track of radius 100 m with a speed of 20 m/s. What

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Question: A car is moving in a circular track of radius 100 m with a speed of 20 m/s. What is the time period of one complete revolution?

Options:

Correct Answer: 20 s

Solution:

Circumference = 2πr = 2π(100) = 200π m. Time period (T) = Circumference / Speed = 200π / 20 = 10π s.

A car is moving in a circular track of radius 100 m with a speed of 20 m/s. What is the time period of one complete revolution?

A car is moving in a circular track of radius 100 m with a speed of 20 m/s. What is the time period of one complete revolution?

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 the time period (T) of one complete revolution: T = Circumference / Speed.
Step 7: Substitute the values into the formula: T = 200π / 20.
Step 8: Simplify the calculation: T = 10π seconds.

Circular Motion – Understanding the relationship between speed, distance, and time in circular motion.
Circumference Calculation – Calculating the circumference of a circle using the formula 2πr.
Time Period – Determining the time taken for one complete revolution based on speed and distance.