Question

Материальная точка движется по окружности радиусом R. чему равны путь L и модуль перемещения S через пол оборота?

Answer 1

L=piR
S=2R
............

Answer 2

Calculation of Path Length (L) and Displacement (S) for a Material Point Moving in a Circular Path

When a material point moves in a circular path with a radius of R, the path length (L) and the displacement (S) through half a revolution can be calculated as follows:

The path length (L) is equal to the circumference of the circle, which is given by the formula:

L = 2πR.

The displacement (S) is the straight-line distance between the initial and final positions of the material point. For a circular path, the displacement is equal to the diameter of the circle, which is twice the radius:

S = 2R.

Therefore, the path length (L) is equal to the circumference of the circle, while the displacement (S) is equal to the diameter of the circle.

It's important to note that these calculations are specifically for half a revolution. If you want to calculate the path length and displacement for a full revolution, you would double the values obtained for half a revolution.

I hope this helps! Let me know if you have any further questions.