# The horse runs in the circus arena, the period of its movement is 8 s, the diameter of the arena

August 31, 2021 | education

| **The horse runs in the circus arena, the period of its movement is 8 s, the diameter of the arena is 13 m. Determine the approximate speed of the horse.**

T = 8 s.

D = 13 m.

V -?

The speed of movement of the body V is the ratio of the path S traversed by it to the time of its passage t: V = S / t.

The period of movement T is the time of one complete revolution.

During one revolution t = T, the horse travels a distance S equal to the circumference L.

The circumference is determined by the formula: S = 2 * P * R, where P is the number pi, R is the radius of the circle.

R = D / 2.

S = P * D.

We find the horse’s speed by the formula: V = P * D / T.

V = 3.14 * 13 m / 8 s = 5.1 m / s.

Answer: the horse’s speed when moving is V = 5.1 m / s.

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