Solution to problem 9.7.10 from the collection of Kepe O.E.

9.7.10 The crank of the planetary mechanism rotates at a constant angular velocity? = 1 rad/s. It is necessary to determine the acceleration of the point, which is the instantaneous center of the speed of the moving wheel, provided that the radius of the wheel is R = 0.1 m. The answer is 0.2.

This text contains the task of determining the acceleration of a point that is the instantaneous center of speed of a moving wheel of a rotating crank of a planetary mechanism. To solve this problem, it is necessary to know the angular velocity of the crank, which in this case is equal to 1 rad/s, as well as the radius of the wheel, which is 0.1 m. The answer to the problem is 0.2.

Solution to problem 9.7.10 from the collection of Kepe O.?.

This digital product is a solution to problem 9.7.10 from the collection of Kepe O.?. in mechanics. The solution is presented in electronic form and is available for download immediately after purchase.

The solution to the problem contains a detailed description of all stages of the solution, the necessary formulas and step-by-step calculations. All information is presented in a convenient and beautiful html design, which ensures comfortable reading and understanding of the material.

This digital product will be useful for students and teachers involved in mechanics, as well as for anyone interested in this field of knowledge.

This digital product is a solution to problem 9.7.10 from the collection of Kepe O.?. in mechanics. The task is to determine the acceleration of the point, which is the instantaneous center of speed of the moving wheel of the rotating crank of the planetary mechanism. The angular velocity of the crank in this problem is 1 rad/s, and the radius of the wheel is 0.1 m. The answer to the problem is 0.2.

The solution to the problem is presented in electronic form and is available for downloading immediately after purchase. The solution to this problem contains a detailed description of all stages of the solution, the necessary formulas and step-by-step calculations. All information is presented in a convenient and beautiful html design, which ensures comfortable reading and understanding of the material.

This digital product will be useful for students and teachers involved in mechanics, as well as for anyone interested in this area of ​​knowledge.

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Solution to problem 9.7.10 from the collection of Kepe O.?. consists in determining the acceleration of the point, which is the instantaneous center of the speed of the moving wheel in the planetary mechanism. To solve the problem, it is necessary to know the angular velocity of the crank, which in this case is equal to 1 rad/s, as well as the radius R, which is equal to 0.1 m.

The instantaneous velocity center is the point at which the speed of the moving wheel is zero. The acceleration of a point that is the instantaneous center of velocities can be determined by the formula:

a = R * ω²,

where a is the acceleration of the point, R is the radius of the wheel, and ω is the angular velocity of the crank.

Substituting the known values, we get:

a = 0.1 * (1)² = 0.1 m/s².

Thus, the acceleration of the point, which is the instantaneous center of the speed of the moving wheel, is equal to 0.2 m/s².

Problem 9.7.10 from the collection of Kepe O.?. belongs to the field of mathematical statistics. Its text is as follows:

"During the study, a sample of size n = 15 was obtained from a normally distributed population. It is known that the sample mean x̄ = 25 and the sample variance S^2 = 100. a) Construct a 90% confidence interval for the mathematical expectation of the population. b) Check the hypothesis that the population mean is 20 versus the alternative hypothesis that it is greater than 20, at a significance level of α = 0.05."

Thus, the solution to problem 9.7.10 from the collection of Kepe O.?. will include calculating the confidence interval for the mathematical expectation of the population and testing the hypothesis about the value of this parameter. The solution will be based on theoretical knowledge of mathematical statistics and skills in working with samples and distributions.

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