Circular Motion Problem: A Body Travels Along a Circular Path of Radius 70m?

Question: A Body Travels along a circular path of radius 70m, What would the average velocity of the body be?

  1. 3.5 m/s
  2. 7 m/s
  3. 14 m/s
  4. 35 m/s

Answer: C) 14 m/s

A Body Travels along a circular path of radius 70m Solution:

To calculate the average velocity of the body, we first need to understand that the motion is circular. Since the body completes half a revolution, it travels a distance equal to half the circumference of the circle.

  • The formula for the circumference of a circle is given by: Circumference = 2 * π * radius
  • Given that the radius of the circular path is 70 m, the circumference can be calculated as follows: Circumference = 2 * π * 70 = 140 * π ≈ 439.82 m
  • As the body travels half a revolution, the distance covered is half of the circumference: Distance covered = 1/2 * 439.82 ≈ 219.91 m
  • Now, we can use the formula for average velocity: Average velocity = Total distance covered / Total time taken
  • The distance covered is approximately 219.91 m, and the total time taken is 20 seconds. Let’s calculate the average velocity: Average velocity = 219.91 m / 20 s ≈ 10.9955 m/s

Rounded to two decimal places, the average velocity of the body is approximately 11 m/s.

A Body travels along a circular path of radius 70m. Therefore, none of the provided options is correct. However, if we round off the average velocity to the nearest whole number, it becomes 11 m/s.

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