Question

Jared is driving around a traffic circle. If he is traveling at a speed of 7.1 m/s, and it takes his 5.8 s to complete an entire loop around the traffic circle, what is the radius of the traffic circle?

A. 7.1 m
B. 6.6 m
C. 9.4 m
D. 5.6 m

Answer 1

B. 6.6 m

Step-by-step explanation:

Given;

speed of Jared , v = 7.1 m/s

time taken, T = 5.8 s

let the radius of the traffic circle = r

The speed of Jared is calculated as;

`v = (2\pi r)/(T)`

Where;

v is speed of Jared

T is period of the motion

r is radius of the traffic circle

`r = (vT)/(2\pi) \\\\r = (7.1 \ * \ 5.8)/(2\pi) \\\\r = 6.55 \ m\\\\r = 6.6 \ m`

Therefore, the radius of the traffic circle is 6.6 m.