Question

Велосипедист равномерно движется на повороте дороги, который представляет собой половину дуги окружности радиусом 11,6 м. Определите модуль перемещения велосипедиста за время поворота.

Answer 1

Ответ:

23,2 метра

Объяснение:

Answer 2

Calculation of Displacement

To determine the displacement of the cyclist during the turn, we need to calculate the length of the arc that represents half of the circumference of the circle with a radius of 11.6 meters.

The formula to calculate the length of an arc is given by:

Arc Length = (θ/360) * 2πr

Where: - θ is the central angle of the arc (in degrees) - r is the radius of the circle

In this case, since the cyclist is moving along half of the circumference of the circle, the central angle θ is 180 degrees.

Let's calculate the displacement:

Arc Length = (180/360) * 2π * 11.6

Using the value of π as approximately 3.14, we can simplify the calculation:

Arc Length = (1/2) * 2 * 3.14 * 11.6

Arc Length = 3.14 * 11.6

Arc Length ≈ 36.424 meters

Therefore, the displacement of the cyclist during the turn is approximately 36.424 meters.