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If a cyclist takes one minute to complete half revolution on a circular path 120 m radius what is the average velocity ? 1)1m/s. 2)2m/s 3)3m/s. 4)4m/s?
Verified Answer
If a cyclist takes one minute to complete half revolution on a circula...
Given :

Radius =R=120m
Time=T=60 sec
As the object covers half revolution of circle, so the displacement till be the diameter of the circle.
Displacement is the shortest path between source and the destination.
Average Velocity=Displacement/ Time
=2R/T
=2x120/60
=4m/s

∴Average velocity= 4m/s
This question is part of UPSC exam. View all NEET courses
Most Upvoted Answer
If a cyclist takes one minute to complete half revolution on a circula...
Given:
- Radius of the circular path = 120 m
- Time taken to complete half revolution = 1 minute

To Find:
- Average velocity of the cyclist

Formula:
The formula to calculate average velocity is:
Average Velocity = Total Displacement / Total Time

Analysis:
- The cyclist completes half revolution in 1 minute, which means he covers a distance equal to the circumference of half the circle.
- The circumference of a circle can be calculated using the formula: Circumference = 2 * π * r, where r is the radius of the circle.
- In this case, since the cyclist covers half the circumference, the distance covered will be half the circumference.
- The total displacement will be equal to the distance covered, which is half the circumference.
- The total time taken is given as 1 minute.

Solution:
1. Calculate the circumference of the circle using the formula: Circumference = 2 * π * r
- Circumference = 2 * 3.14 * 120 = 753.6 m
2. Since the cyclist covers half the circumference, the distance covered is half of 753.6 m, which is 376.8 m.
3. The total displacement is equal to the distance covered, which is 376.8 m.
4. The total time taken is given as 1 minute, which is equal to 60 seconds.
5. Calculate the average velocity using the formula: Average Velocity = Total Displacement / Total Time
- Average Velocity = 376.8 m / 60 s = 6.28 m/s

Answer:
The average velocity of the cyclist is approximately 6.28 m/s.
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