Pressure Response Time for Two-Piston Hydraulic System with Vacuum Space in Tube

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The discussion focuses on determining the response time of Piston #2 in a two-piston hydraulic system when Piston #1 is actuated, considering a vacuum of 1 Torr between them. Participants suggest that the response time could be calculated using the speed of sound in the medium, which is influenced by the tube's diameter and the pressure conditions. The relationship between pressure changes and the movement of Piston #1 is central to understanding the response dynamics. Initial guesses for response time vary, with considerations of fluid dynamics and the properties of the vacuum space. Accurate calculations require additional parameters, including the tube's diameter and the characteristics of the hydraulic fluid.
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If we had a tube 1 foot long that had two pistons inside it at each end of the tube, Piston #1. and Piston #2. Piston #1. is attached to a hydrolic push Rod, Piston #2. is connected to a movement senser only, the Space between the two Pistons inside the Tube have a Vacuum of 1 Torr between them, Here's the Question, If Piston #1. is actuated in or out what would be the response time that Piston #2. senses movement for both in and out actuation of Piston #1 due to pressure changes caused by the actuation of Piston #1?
 
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What would be your initial guess, and why? You need to show some work of your own in order for us to provide some help.
 
Could it be calculated from the speed of sound? Wouldnt that require also the diameter of the tube?
 

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