The athlete in training ran N = 6.5 laps with a radius of R = 50m. What path did the athlete run? What is the modulus of its movement?

N = 6.5.

R = 50 m.

L -?

S -?

The traversed path L is the length of the trajectory that the athlete describes when moving.

The circumference is determined by the formula: L1 = 2 * п * R, where п is the number pi, R is the radius of the circle.

Since the athlete makes N circles, he goes the path L = N * L1 = N * 2 * п * R.

L = 6.5 * 2 * 3.14 * 50 m = 2041 m.

The movement of the athlete S is called the vector that connects the starting and ending position of the body. The modulus of displacement S is the length of this vector.

Since the athlete makes n = 6.5 revolutions, he stops on the opposite side of the circle from the start. Its movement will be the diameter of the circle: S = 2 * R.

S = 2 * 50 m = 100 m.

Answer: the athlete’s path was L = 2041 m, displacement S = 100 m.