Solution to problem 8.2.14 from the collection of Kepe O.E.

8.2.14

When starting an electric motor, its rotor begins to rotate in accordance with the law? = ?t + ?e-t. It is necessary to calculate the angular velocity of the rotor at time t = 2 s. (Answer: 2.72)

Solution to problem 8.2.14 from the collection of Kepe O..

This digital product is a solution to problem 8.2.14 from the collection "Problems in General Physics" by Kepe O. The solution to this problem may be useful for students studying physics.

When starting an electric motor, its rotor begins to rotate in accordance with the law? = ?t + ?e-t. In this case, it is necessary to determine the angular velocity of the rotor at time t = 2 s.

This digital product is presented in a beautiful html design, which makes it pleasant and easy to read. By purchasing this product, you will receive a complete and understandable solution to the problem, which will help you better understand the theoretical and practical aspects of physics.

This digital product is a solution to problem 8.2.14 from the collection "Problems in General Physics" by Kepe O.. The problem is to calculate the angular velocity of the electric motor rotor at the time t = 2 s, when its rotation is described by the function ? = ?t + ?e-t. By purchasing this product, you will receive a complete and understandable solution to the problem, presented in a beautiful html design, which makes it pleasant and easy to read. The solution may be useful for students studying physics and will help to better understand the theoretical and practical aspects of this science.

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Problem 8.2.14 from the collection of Kepe O.?. belongs to the section "Theory of Probability". To solve it, you need to use the conditional probability formula. The task provides data that people of two nationalities live in the city, and the probability that a person of a certain nationality is a criminal or not a criminal. You need to find the probability that a randomly selected person who is a criminal belongs to a certain nationality. Solving the problem is a sequential calculation of probabilities that allow you to find the desired value.

Solution to problem 8.2.14 from the collection of Kepe O.?. consists in determining the angular velocity of the electric motor rotor at time t = 2 s.

From the conditions of the problem it is known that the law of change in the angle of rotation of the rotor is determined by the formula? = ?t + ?e-t, where ? - rotor rotation angle in radians, t - time in seconds, ? And ? - some are permanent.

To find the angular velocity of the rotor, it is necessary to calculate the derivative of the angle with respect to time: d?/dt = d(?t)/dt + d(?e-t)/dt = ? + (-?)e-t

Substituting t = 2 s, we get: d?/dt|t=2 = ? - ?e-2

Next, to find the angular velocity, it is necessary to substitute the values ​​? And ? from the problem statement: d?/dt|t=2 = 2 - 2e-2

Thus, the angular velocity of the rotor at time t = 2 s is equal to 2 - 2e-2 rad/s, which is approximately equal to 2.72 rad/s. Answer: 2.72.

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