Question

Точка движется равномерно по окружности радиусом 0,5 м. со скоростью 3,14 м/с. сколько оборотов она сделает за время 10мин.?

Answer 1

Дано: R=0,5м v=3.14 м/с t=10 мин N-? T=2ПR/v=6,28*0,5/3,14=1с N=t/T=600/1=600(оборотов)

Answer 2

Calculating the Number of Revolutions

To calculate the number of revolutions a point makes as it moves uniformly around a circle, we can use the formula:

Number of Revolutions = Total Distance Traveled / Circumference of the Circle

The total distance traveled by the point can be calculated using the formula:

Total Distance = Speed × Time

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

First, we need to convert the time from minutes to seconds: - 10 minutes = 10 × 60 = 600 seconds

Now, we can calculate the total distance traveled using the formula: Total Distance = Speed × Time

Total 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 calculate the number of revolutions using the formula: Number of Revolutions = Total Distance Traveled / Circumference of the Circle

Number of Revolutions = 1884 m / 3.14 m ≈ 599.36

So, the point will make approximately 599.36 revolutions in the given time.

(#1)