(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

As a mechanical design project, we have to design a device that will lift a 1kg weight off the ground as high as possible when the only source of energy provided is 1.35L of 80psi compressed air. (it has to stay there so a slingshot/cannon is out of the equation) We are currently in the design process and would like to know how high it would go with the amount of compressed air. Our current design is to use a piston to push the weight up. My question is, if we know the dimension of the piston we are using, can we simply use P_1*V_1 = P_2*V_2 to give us an approximation of the final height?

2. Relevant equations

P_{1}V_{1}=P_{2}V_{2}

P = mg/A

3. The attempt at a solution

P_{1}= 80psi = 551580 Pa

V_{1}= 1.35L = 0.00135m^{3}

P_{2}= mg/A = 9.81/(0.025^{2}[itex]\times[/itex][itex]\pi[/itex])

V_{2}= (0.025^{2}[itex]\pi[/itex][itex]\times[/itex]h)[itex]\times[/itex]2+0.00135

Assuming there are two 0.025m radius pistons pushing the weight up, i got a height of 37.6m.

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# Rise of a piston

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