Question

Лошадь движется по арене цирка радиусом 13 м пробегая каждый круг за 30 с.Найдите путь и перемещение лошади за 1 мин.Ответ округлите до целых.

Answer 1

Скорость лошади V=2*pi*R/t1
Путь L=V*t2=2*pi*R*t2/t1=6,28*13*60/30=163,28 м
Если 1 круг лошадь делает за 30 с, то за 1 мин она сделает 2 полных круга. Перемещение S=0

Answer 2

Problem Analysis

We are given that a horse is moving in a circus arena with a radius of 13 meters. The horse completes each lap in 30 seconds. We need to find the distance and displacement of the horse in 1 minute.

Distance Calculation

To find the distance covered by the horse in 1 minute, we need to calculate the circumference of the circular path and multiply it by the number of laps the horse completes in 1 minute.

The formula for the circumference of a circle is given by: C = 2πr

where: - C is the circumference - π is a mathematical constant approximately equal to 3.14159 - r is the radius of the circle

Substituting the given radius of 13 meters into the formula, we can calculate the circumference of the circular path.

Next, we need to calculate the number of laps the horse completes in 1 minute. Since the horse completes each lap in 30 seconds, it will complete 2 laps in 1 minute.

Finally, we multiply the circumference by the number of laps to find the distance covered by the horse in 1 minute.

Let's calculate the distance.

Distance Calculation:

The circumference of the circular path can be calculated using the formula C = 2πr. Substituting the given radius of 13 meters, we get:

C = 2π(13) = 26π meters

The horse completes 2 laps in 1 minute, so the distance covered by the horse in 1 minute is:

Distance = 2 * 26π = 52π meters

To round the answer to the nearest whole number, we can use the approximation π ≈ 3.14:

Distance ≈ 52 * 3.14 ≈ 163 meters

Therefore, the horse covers approximately 163 meters in 1 minute.

Displacement Calculation

To find the displacement of the horse in 1 minute, we need to calculate the distance between the starting point and the ending point of the horse's motion.

Since the horse completes 2 laps in 1 minute, it returns to its starting point. Therefore, the displacement of the horse in 1 minute is zero.

Therefore, the displacement of the horse in 1 minute is 0 meters.

Summary

- The horse covers approximately 163 meters in 1 minute. - The displacement of the horse in 1 minute is 0 meters.

Please let me know if I can help you with anything else.