Solution of problem 8.3.2 from the collection of Kepe O.E.

8.3.2 In this problem, the body rotates uniformly and alternately with angular acceleration ? = 5 rad/s2. It is necessary to determine the speed of a point located at a distance r = 0.2 m from the axis of rotation at time t = 2 s, if at the initial time t0 = 0 the angular velocity is ?0 = 0. The answer to the problem is 2.

This digital product is a solution to problem 8.3.2 from the collection of Kepe O.?. The problem is related to determining the speed of a point at a distance of 0.2 m from the axis of rotation of a body that rotates uniformly alternatingly with an angular acceleration of 5 rad/s² at time t = 2 s with an initial angular velocity of 0.

The solution to this problem is presented in a convenient and beautifully designed html format, which makes it easy to familiarize yourself with the conditions of the problem, as well as visualize the process of solving it and the answer received.

By purchasing this digital product, you receive a ready-made solution to problem 8.3.2 from the collection of Kepe O.?. in a convenient format, which allows you to significantly reduce the time spent on solving this problem independently and devote it to other important tasks.

This digital product is a solution to problem 8.3.2 from the collection of Kepe O.?. The problem is to determine the speed of a point at a distance of 0.2 m from the axis of rotation of a body that rotates uniformly alternatingly with an angular acceleration of 5 rad/s² at time t = 2 s with an initial angular velocity of 0.

The solution to this problem is presented in a convenient and beautifully designed html format, which makes it easy to familiarize yourself with the conditions of the problem, as well as visualize the process of solving it and the answer received.

By purchasing this digital product, you receive a ready-made solution to problem 8.3.2 from the collection of Kepe O.?. in a convenient format, which allows you to significantly reduce the time spent on solving this problem independently and devote it to other important tasks. The answer to the problem is 2.

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Solution to problem 8.3.2 from the collection of Kepe O.?. is associated with determining the speed of a point at a distance r = 0.2 m from the axis of rotation of a body that rotates uniformly with angular acceleration ? = 5 rad/s2 at time t = 2 s. Moreover, it is known that at to = 0 the angular velocity is ?0 = 0.

To solve the problem, it is necessary to apply the laws of kinematics of rotational motion. First, let's find the angular velocity of the body at time t = 2 s using the formula:

? = ?0 + ?t,

where ?0 = 0 - angular velocity at the initial moment of time, ? = 5 rad/s2 - angular acceleration, t = 2 s - time.

Thus we get:

? = ?0 + ?t = 0 + 5 * 2 = 10 rad/s.

Next, we find the linear speed of a point at a distance r = 0.2 m from the axis of rotation using the formula:

v = ?r,

Where ? - angular velocity, r - distance from the point to the axis of rotation.

Substituting the known values, we get:

v = ?r = 10 * 0.2 = 2 m/s.

Thus, the speed of a point at a distance r = 0.2 m from the axis of rotation at time t = 2 s is 2 m/s.

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