# The body moves uniformly along a circle with a radius of 200 cm, if the period of revolution of the body

The body moves uniformly along a circle with a radius of 200 cm, if the period of revolution of the body is 2 s, then in 3 s of movement the movement of the body will be …

R = 200 cm = 2 m.

T = 2 s.

t = 3 s.

S -?

The movement of the body S is a vector that connects the initial and final position of the body during movement.

The period of rotation T is the time of one complete revolution. When rotating during the period T, the body returns to its initial position.

Since t / T = 3 s / 2 s = 1.5, then during t = 3 s the body will make one and a half revolutions and will be on the opposite side of the circle.

The displacement S will be the diameter of the circle with the radius R: S = 2 * R.

S = 2 * 2 m = 4 m.

Answer: the movement of the body is S = 4 m.

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