Question

Линейная скорость точки на краю равномерно вращающегося диска в 2 раза больше линейной скорости точки, лежащей на 2 см ближе к оси диска. Найти радиус диска. Ответ приведите в сантиметрах

Answer 1

Вот...Ответ:Радиус=0,04 сантиметра

Answer 2

Calculation of the Radius of the Rotating Disk

To find the radius of the rotating disk, we can use the relationship between linear velocity and angular velocity. The linear velocity of a point on the edge of a rotating disk is directly proportional to the radius of the disk and the angular velocity of the disk.

Let's denote the linear velocity of the point on the edge of the disk as v1 and the linear velocity of the point closer to the axis of the disk as v2. We are given that v1 is twice the value of v2. Additionally, we know that the distance between the two points is 2 cm.

Using the relationship between linear velocity and angular velocity, we have:

v1 = r1 * ω v2 = r2 * ω

where r1 and r2 are the radii of the disk at the respective points, and ω is the angular velocity of the disk.

Since v1 = 2 * v2, we can write:

r1 * ω = 2 * r2 * ω

Dividing both sides of the equation by ω, we get:

r1 = 2 * r2

We are given that the distance between the two points is 2 cm, which means r1 - r2 = 2.

Substituting the value of r1 from the first equation into the second equation, we have:

2 * r2 - r2 = 2

Simplifying the equation, we get:

r2 = 2

Therefore, the radius of the disk is 2 cm.

Please note that the calculation assumes that the angular velocity of the disk is the same at both points.