Question: A Body Travels along a circular path of radius 70m, What would the average velocity of the body be?
- 3.5 m/s
- 7 m/s
- 14 m/s
- 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.
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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