If a cyclist takes two minutes to complete half revolution on a circular path of 120m radius.what is the average speed?
120πm/2min = 60π m/min
To find the average speed of the cyclist, we need to know the distance traveled and the time taken.
In this case, we are given that the cyclist takes two minutes to complete half a revolution on a circular path with a radius of 120 meters.
The distance traveled can be calculated by finding the circumference of the circle, which is equal to 2πr (where r is the radius).
Circumference = 2π × 120 = 240π meters
Since the cyclist completes half a revolution, the distance traveled is half the circumference.
Distance traveled = 240π / 2 = 120π meters
Now, we need to convert the time taken into seconds, as the SI unit for time is seconds.
2 minutes = 2 × 60 = 120 seconds
Finally, we can calculate the average speed using the formula:
Average speed = Distance traveled / Time taken
Average speed = (120π meters) / (120 seconds)
Simplifying, we get the average speed:
Average speed = π meters per second