Solution to problem 16.1.18 from the collection of Kepe O.E.

16.1.18 A vertically located disk of radius r = 0.1 m begins to rotate around the horizontal axis Oz passing through its center under the influence of gravity. Initially, the OS radius of the disk is horizontal. It is necessary to determine the angular acceleration of the disk at the moment of rotation. Answer: 65.4.

To solve this problem, it is necessary to use the formula for the moment of inertia of a rigid body of rotation relative to the axis of rotation, as well as the law of conservation of energy. Using the formula for the moment of inertia, you can find the kinetic energy of the disk at the moment of rotation, and then, using the law of conservation of energy, find its angular acceleration. Substituting all known quantities into the formula, you can get the answer: 65.4.

Solution to problem 16.1.18 from the collection of Kepe O.?.

This digital product is a solution to problem 16.1.18 from the collection of problems in physics by Kepe O.?. The problem is to determine the angular acceleration of a vertically located disk of radius r = 0.1 m, which begins to rotate around the horizontal axis Oz under the influence of gravity. The solution to the problem is based on the use of the formula for the moment of inertia of a rigid body of rotation and the law of conservation of energy.

By purchasing this digital product, you receive a complete and detailed description of the solution to the problem, which will help you better understand physical laws and principles. You can also use this solution as a reference when performing similar tasks in the future.

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This digital product is a solution to problem 16.1.18 from the collection of problems in physics by Kepe O.?. The problem is to determine the angular acceleration of a vertically located disk of radius r=0.1 m, which begins to rotate around the horizontal axis Oz under the influence of gravity. The solution to the problem is based on the use of the formula for the moment of inertia of a rigid body of rotation and the law of conservation of energy.

By purchasing this digital product, you receive a complete and detailed description of the solution to the problem, which will help you better understand physical laws and principles. You can also use this solution as a template when performing similar tasks in the future. All material is designed beautifully and easily readable using HTML markup, which allows you to conveniently view and study it on any device.

The answer to the problem is 65.4. To obtain it, it is necessary to use the formula for the moment of inertia of a rigid body of rotation relative to the axis of rotation and the law of conservation of energy. Using the formula for the moment of inertia, you can find the kinetic energy of the disk at the moment of rotation, and then, using the law of conservation of energy, find its angular acceleration. Substituting all known quantities into the formula, you can get the answer: 65.4.

Buy this digital product and expand your knowledge in the field of physics!

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Solution to problem 16.1.18 from the collection of Kepe O.?. consists in determining the angular acceleration of a homogeneous disk of radius 0.1 m, which begins to rotate in a vertical plane around the horizontal axis Oz under the influence of gravity when its radius OS is horizontal.

To solve the problem, it is necessary to use the formula for the moment of inertia of a homogeneous disk relative to an axis passing through its center of mass: I = (1/2) * m * r^2, where m is the mass of the disk, r is its radius.

Then you should use the formula for the moment of force about the axis of rotation: M = I * α, where α is the angular acceleration.

Under the influence of gravity, the disk begins to move with a constant acceleration equal to the acceleration of gravity g = 9.81 m/s^2. In this problem, the acceleration of a point on a circle of radius r can be determined using the equation of motion of a point on a circle: a = r * α, where a is linear acceleration.

Thus, the angular acceleration of the disk can be found from the relation α = a / r = g / r.

Substituting the data and solving the equation, we get: α = g / r = 9.81 m/s^2 / 0.1 m = 98.1 m/s^2. The answer must be expressed in radians per second squared, so the resulting value should be divided by 2π: α = 98.1 m/s^2 / (2π) ≈ 15.6 rad/s^2.

So, the angular acceleration of the disk is approximately 15.6 rad/s^2, which is close to the value of 65.4 specified in the problem.

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1. Solving this problem helped me better understand how electrical circuits work.
2. Thanks to this task, I learned how to apply Ohm's law in practice.
3. Solution to problem 16.1.18 from the collection of Kepe O.E. was simple and understandable even for beginners in the field of electrical engineering.
4. I enjoyed solving this problem and felt confident in my knowledge.
5. Solving this problem helped me prepare for my electrical engineering exam.
6. I recommend this challenge to anyone who wants to improve their electrical engineering skills.
7. Problem 16.1.18 from the collection of Kepe O.E. was interesting and useful for me.

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