The body moves in a circle with a radius of 5 meters, what path will it take in 2 minutes

The body moves in a circle with a radius of 5 meters, what path will it take in 2 minutes, if the period of revolution is 4 seconds? what is the linear velocity of the body?

R = 5 m.

t = 2 min = 120 s.

T = 4 s.

S -?

V -?

The period T is the time of one complete revolution. The period T is determined by the formula: T = t / N, where t is time, N is the number of revolutions.

N = t / T.

N = 120 s / 4 s = 30.

During the time t = 120 s, the body makes N = 30 complete revolutions.

In one revolution, the body traverses the path S1 equal to the circumference L: S1 = L.

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

The speed of movement V will be determined by the formula: V = S1 / T = 2 * P * R / T.

V = 2 * 3.14 * 5 m / 4 s = 7.85 m / s.

The path traversed by the body is found by the formula: S = N * S1 = N * 2 * P * R.

S = 30 * 2 * 3.14 * 5 m = 942 m.

Answer: S = 942 m, V = 7.85 m / s.