Question

Определите радиус равномерно вращающегося колеса если скорость точек обода колеса равна 10 м/с, а частота обращения колеса 4 1/с

Answer 1

f=4 Гц, v=10 м/с 
угловая скорость омега=2Пи*f=2*3,14*4=25,12 
r=v/омега=10/25,12=0,4м =40см

Answer 2

Calculation of the Radius of a Uniformly Rotating Wheel

To determine the radius of a uniformly rotating wheel, we can use the formula:

v = ω * r

where: - v is the linear velocity of a point on the wheel's rim, - ω is the angular velocity of the wheel, and - r is the radius of the wheel.

In this case, we are given that the linear velocity of points on the wheel's rim is 10 m/s and the frequency of rotation is 4 1/s.

To find the angular velocity, we can use the formula:

ω = 2πf

where: - f is the frequency of rotation.

Substituting the given values, we have:

ω = 2π * 4 1/s = 8π rad/s

Now, we can rearrange the first formula to solve for the radius:

r = v / ω

Substituting the given values, we have:

r = 10 m/s / (8π rad/s) ≈ 0.398 m

Therefore, the radius of the uniformly rotating wheel is approximately 0.398 meters.