Calculating Speed & Acceleration of Pneumatic Cylinder

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To determine the speed of a pneumatic cylinder, the velocity or volumetric flow rate into the cylinder must be known, which can be calculated using flow divided by the cross-sectional area. The equation m·a = pS - p_0S - F_f incorporates the pressure of the compressed air, atmospheric pressure, and resistance from airtight rings. Acceleration can be calculated from this equation, and final velocity can be derived using Galilei's law. Controlling the speed of the air cylinder is effectively achieved by using a needle valve on the exhaust port, which regulates the air exiting the cylinder. This setup allows for precise control of the cylinder's activation speed.
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How do you determine how fast a pneumatic cylinder will move when you force air into it with a tank of compressed air. I also need to know how fast it will accelerate. I only need an equation but resistance from the airtight rings must also be included. Thank you.
-Serj
 
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The only way to really know is to know the velocity or the volumetric flow rate into the cylinder. From there it's simply flow divided by the area. The actual measurement of the flow rate is a bit tricky due to compressibility.
 
I think you can solve the problem if you know the pressure of the compressed air (p) , the atmospheric pressure (p_0) and the resistance force(F_f). From the second principle,

m\cdot a=pS-p_0S-F_f

(S is the cross-section area of the cylinder)

If you have the acceleration, with the length and the Galilei's law the final velocity is piece of cake.
 
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The best way to control the speed of a air cylinder is to use a needle valve on the exhaust port. This will control how fast the air exits the cylinder. They make a combination needle valve/check valve just for this purpose. The check valve allows free flow of air into the cylinder the needle valve controls the rate that air exits, thus controling the speed of activation.

For example

These parts are not very expensive on the scale of things.
 
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