Question

Точка движется равномерно по окружности с радиусом 0.5 м со скоростью 3.14 м/с. сколько оборотов она сделает за время t=10мин?

Answer 1

T=2ПR/v=2*3,14*0,5/3,14=1c а т.к. T=N/t то N=t/T=600c/1c=600 оборотов - ответ!!!!!

Answer 2

Calculating the Number of Revolutions

To calculate the number of revolutions the point makes in 10 minutes, we can use the formula:

Number of revolutions = (distance traveled) / (circumference of the circle)

The distance traveled by the point in 10 minutes can be calculated using the formula:

Distance = speed × time

Given: - Radius of the circle, R = 0.5 m - Speed of the point, v = 3.14 m/s - Time, t = 10 minutes

First, let's convert the time from minutes to seconds: 10 minutes = 10 × 60 seconds = 600 seconds

Now, we can calculate the distance traveled by the point: Distance = 3.14 m/s × 600 s = 1884 m

Next, we can calculate the circumference of the circle using the formula: Circumference = 2 × π × R

Circumference = 2 × 3.14 × 0.5 = 3.14 m

Now, we can use the formula to calculate the number of revolutions: Number of revolutions = 1884 m / 3.14 m/rev ≈ 599.36 revolutions

So, the point will make approximately 599.36 revolutions in 10 minutes.