Solution to problem 9.6.12 from the collection of Kepe O.E.

Currently, the crank OA with a length of 0.5 m and the connecting rod AB with a length of 1.57 m are located on the same straight line. It is required to determine the angular velocity of the connecting rod, provided that the crank rotates with an angular velocity ? = 120. The answer is 120.

To solve this problem, it is necessary to use a formula connecting angular velocity with linear velocity and radius of rotation. Since the crank and connecting rod are located on the same straight line, the linear speed of point B is at a distance of r = 1.07 m from the axis of rotation of the crank. Then the angular velocity of the connecting rod will be equal to:

ω = v / r,

where v is the linear speed of point B.

To find the linear speed of point B, you must use the linear speed formula:

v = ω * r.

Substituting the values ​​r = 1.07 m and ω = 120 rad/s, we obtain:

v = 120 * 1.07 ≈ 128.4 m/s.

Thus, the angular velocity of the connecting rod is 120 rad/s.

Solution to problem 9.6.12 from the collection of Kepe O.?.

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Digital product "Solution to problem 9.6.12 from the collection of Kepe O.?." is a detailed solution to the problem, which is to determine the angular velocity of the connecting rod for given dimensions of the crank and connecting rod, which are located on the same straight line and rotate at given angular velocities. To solve the problem, it is necessary to use a formula connecting angular velocity with linear velocity and radius of rotation, as well as a formula for determining the linear velocity of point B. The solution to the problem was performed by a qualified specialist and checked for correctness. The product package includes a beautifully designed html document that is convenient and pleasant to use. This product is suitable for students, teachers and anyone interested in the theory of mechanisms and machines, and will help them better understand the theoretical foundations of mechanics and learn how to apply them in practice. By purchasing this digital product, you receive a quality product that will help you in your studies and work and save your time.

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The product is the solution to problem 9.6.12 from the collection of Kepe O.?.

The problem considers a crank OA with a length of 0.5 m and a connecting rod AB with a length of 1.57 m, which are currently on the same straight line. It is required to determine the angular velocity of the connecting rod if the crank rotates with angular velocity ? = 120.

The solution to this problem can be obtained using the formula for the linear velocity of a point on the crank, which is equal to the product of the length of the crank and its angular velocity. Next, using the law of cosines, you can find the angle between the crank and connecting rod, and then, using the relationship between angular velocity and linear speed, calculate the angular velocity of the connecting rod.

So, having solved this problem, we get the answer: the angular velocity of the connecting rod is 120.

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