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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

Respuesta :

onyebuchinnaji

Answer:

B. 6.6 m

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;

[tex]v = \frac{2\pi r}{T}[/tex]

Where;

v is speed of Jared

T is period of the motion

r is radius of the traffic circle

[tex]r = \frac{vT}{2\pi} \\\\r = \frac{7.1 \ \times \ 5.8}{2\pi} \\\\r = 6.55 \ m\\\\r = 6.6 \ m[/tex]

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

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