Maximum allowable space for the system

AI Thread Summary
The maximum allowable space for the system is defined by a height of 250 mm, with the piston speed not exceeding 15 m/s and the crankshaft's maximum angular motion at 2500 rpm. A graph is needed to illustrate the relationship between the piston velocity and the crankshaft's angular position at maximum angular velocity, ensuring the piston speed remains within limits. Concerns about achieving these parameters require rationales and proofs to validate the feasibility of the system design. Additionally, the discussion emphasizes the importance of adhering to PF rules regarding homework assistance, which necessitate listing relevant equations and showing work. Overall, the thread focuses on the technical specifications and the need for mathematical verification of the system's performance limits.
mutiny
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The maximum allowable space for the system is with the height of h = 250 mm,the speed of the piston is expected not to exceed 15 m/s, while the maximum allowable angular motion of the crankshaft is to be 2500 rpm. Please provide a graph showing the changes of the velocity of the piston with respect to the change of the angular position of the crankshaft at maximum angular velocity to show that the velocity of piston not exceed the maximum allowable speed at maximum angular velocity.
if you think this is not achievable, please provide your rationales with the necessary proofs.


P/s:i would like to know how we know the speed or the angular motion is not fit the system.
 
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mutiny: The PF rules state we are not allowed to tell you how to approach or solve your homework problem. See the required homework template that appears when you start to create a new thread in the homework forums. You must list relevant equations yourself, and show your work; and then someone might check your math.
 
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