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

Practice Questions

Q1
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?
  1. 10 s
  2. 20 s
  3. 30 s
  4. 40 s

Questions & Step-by-Step Solutions

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.
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