A cyclist moving on a circular track of radius 50m completes one revolution in 4min .what is the average speed
55/42 m/s
Correct ans only
To find the average speed of the cyclist, we need to find the total distance travelled and divide it by the time taken.
The distance travelled by the cyclist for one revolution is equal to the circumference of the circle.
The formula for the circumference of a circle is given by:
Circumference = 2 * π * radius
In this case, the radius is given as 50m. So, the circumference of the circular track is:
Circumference = 2 * π * 50
Now, we know that the cyclist completes one revolution in 4 minutes. So, the time taken is 4 minutes.
The average speed is given by:
Average Speed = Total Distance / Total Time
Plugging in the values, we get:
Average Speed = (2 * π * 50) / 4
Simplifying further:
Average Speed = π * (50/2)
Evaluating it:
Average Speed = π * 25
So, the average speed of the cyclist is π * 25 m/min.
50*2pi/4 m/min
Circumference = pi*2r = 3.14*100 = 314 m
V=1rev/4min*314m/1rev1*1min/60s=1.31m/s