A trian of length 200 m is moving along a circular path as shown in the figure. If it completers one rotation with a speed of `54 km h^(-1)` , then the time taken by it to trace the path is ______ seconds.

Options

A. 25
B. 13.33
C. 26.66
D. 26

Answer

C

Explanation

Length of the trians, l = 200m
Number of rotations completed=1
speed with which it is moving along the circle path = `54 km h^(-1)`
` 54 xx 5//18 m s^(-1) = 15 m s^(-1) `
As the trian is completing 1 rotation, the distance moved by the trian = `2xx 200 = 400 m `
speed = `(" distance ")/("time")`
Time = `( 400 m ) / (15 m s^(-1) ) = 80/3 s = 26.666 s = 26.6 s `