Question

A cyclist completes 8 revolutions of a circular track of radius 98 m with a uniform speed in 40 minutes. Calculate the speed.

Answer 1

sahel is correct. Distance = circumference * number  of revolutions


distance /time =speed done!!!!

Answer 2

The speed of the cyclist is 2.05m/s.

Given:-

Number of revolutions = 8

The radius of the track = 98m

Time taken = 40minutes

To Find:-

The speed of the cyclist.

Solution:-

We can easily calculate the speed of the cyclist by using these simple steps.

As

Number of revolutions (n) = 8

The radius of the track (r) = 98m

Total Time taken (T) = 40minutes

Speed of the cyclist (u) =?

Time taken by 1 revolution = Total time / 8

t = 40/8

t = 5 minutes

t = 5 x 60 seconds

t = 300 seconds

Also, distance covered in 1 revolution = perimeter of the circle ° 2πr

Now, according to the formula of speed

$speed = \frac{distance}{time}$

$u = \frac{2\pi r}{t}$

On putting the values we get,

$u = \frac{2 \times 22 \times 98}{7 \times 300}$

$u = \frac{44 \times 14}{300}$

$u = \frac{616}{300}$

$u = 2.05$

Hence, The speed of the cyclist is 2.05m/s.

#SPJ2