Question

Найдите радиус равномерно вращающегося колеса если скорость точек обода колеса ровно 12м/с а частота вращения колеса ровно 3с^-1"

Answer 1

V=wR
R=V/w=V/wpin=12/2*3.14*3=.064 м ( n - ню, частота вращения)

Answer 2

Finding the Radius of a Uniformly Rotating Wheel

To find the radius of a uniformly rotating wheel given the linear velocity of points on the rim and the angular frequency of the wheel, we can use the formula:

v = ω * r

Where: - v is the linear velocity of points on the rim of the wheel, - ω is the angular frequency 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 rim of the wheel is 12 m/s and the angular frequency of the wheel is 3 s^-1.

Substituting these values into the formula, we have:

12 m/s = 3 s^-1 * r

To find the value of r, we can rearrange the equation:

r = (12 m/s) / (3 s^-1)

Simplifying the expression, we have:

r = 4 m

Therefore, the radius of the uniformly rotating wheel is 4 meters.