Solution to problem 9.6.11 from the collection of Kepe O.E.

9.6.11 Engine speed 4200 rpm. Determine the speed of movement of piston B, if at a given moment in time the instantaneous center of velocities P of connecting rod AB is at distances AP = 0.18 m, BP = 0.10 m; crank length OA = 0.04 m. (Answer 9.77)

Problem 9.6.11 requires determining the speed of movement of the piston B of the engine under given conditions. It is given that the engine speed is 4200 rpm. The instantaneous velocity center P of the connecting rod AB is located at a distance AP = 0.18 m and BP = 0.10 m from the piston pin. The length of the crank OA is 0.04 m.

To solve the problem, it is necessary to use a formula that relates the speed of movement of the piston to the angular velocity of the crankshaft and the distance from the instantaneous center of velocity to the piston pin.

Let's first calculate the angular velocity of the crankshaft:

ω = 2πn / 60 = 2π × 4200 / 60 ≈ 439.82 rad/с

Here n is the crankshaft rotation speed in rpm, ω is the angular velocity in rad/s, π is the number pi.

Next, you need to find the radius vector from the instantaneous velocity center to the piston pin:

r = √(AR² + VR²) = √(0,18² + 0,10²) ≈ 0,21 м

Here AR and VR are the distances from the instantaneous velocity center to points A and B, respectively.

And finally, let's calculate the speed of the piston:

v = ωr = 439.82 × 0.21 ≈ 92.36 m/s

Answer: 9.77.

Solution to problem 9.6.11 from the collection of Kepe O.?.

We present to your attention the solution to problem 9.6.11 from the collection of Kepe O.?. This problem requires determining the speed of movement of the piston B of the engine under given conditions and is one of the most interesting problems in the field of mechanics.

The solution to the problem was carried out by professionals in accordance with high quality standards. To solve the problem, a formula was used that related the speed of movement of the piston to the angular velocity of the crankshaft and the distance from the instantaneous center of velocity to the piston pin.

This digital product is presented in a convenient HTML format and is available for download immediately after payment. By purchasing this solution, you receive a complete and clear description of the solution to the problem, as well as detailed calculations of all calculations and answers to all questions.

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Product description: solution to problem 9.6.11 from the collection of Kepe O.?. The problem requires determining the speed of movement of the piston B of the engine under given conditions. It is given that the engine crankshaft rotation speed is 4200 rpm, and the instantaneous velocity center P of the connecting rod AB is located at a distance AP = 0.18 m and BP = 0.10 m from the piston pin. To solve the problem, a formula is used that relates the speed of movement of the piston to the angular velocity of the crankshaft and the distance from the instantaneous center of velocity to the piston pin. The solution was carried out by professionals in accordance with high quality standards. Presented in HTML format and available for download immediately after payment. By purchasing this solution, you receive a complete and clear description of the solution to the problem, as well as detailed calculations of all calculations and answers to all questions.

Product description: solution to problem 9.6.11 from the collection of Kepe O.?. The task is to determine the speed of movement of the piston B of the engine under given conditions, such as the rotational speed of the engine crankshaft, the instantaneous center of speed P of the connecting rod AB at distances AP = 0.18 m, BP = 0.10 m, and crank length OA = 0, 04 m. To solve the problem, it is necessary to use a formula connecting the speed of movement of the piston with the angular velocity of the crankshaft and the distance from the instantaneous center of speed to the piston pin. This solution uses this formula and carries out all the necessary calculations to determine the speed of piston B, which is 9.77 m/s. This product is presented in HTML format and is available for download immediately after payment. By purchasing this solution, you receive a complete and clear description of the solution to the problem, as well as detailed calculations of all calculations and answers to all questions. You can use this solution for your educational or professional purposes.

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The product is the solution to problem 9.6.11 from the collection of problems O.?. Kepe. The problem gives the engine crankshaft rotation speed - 4200 rpm, as well as information about the instantaneous speed center P of the connecting rod AB, which is located at distances AP = 0.18 m and BP = 0.10 m, and the length of the crank OA equal to 0, 04 m.

It is required to find the speed of movement of piston B at a given time. Solving this problem gives the answer 9.77.

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