Calculate Flow Rate using Pressure & Diameter

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To calculate flow rate using pressure and pipe diameter, the relationship between pressure, diameter, and flow rate must be understood. The required pressure of 47 psi and flow rate of 4 cfm indicates specific parameters for the compressed air system. Utilizing the pressure gauge allows for accurate pressure measurement at the source, which is essential for calculations. Theoretical formulas, such as the Bernoulli equation or flow equations for compressible fluids, can be applied to determine the flow rate based on the given parameters. Proper calculations will ensure the instrument receives adequate compressed air supply.
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I need to hook up an instrument that requires a source of compressed air at 47psi and 4cfm. I have a pressure gauge so I can measure the pressure at the source. It seems to me that I should be able to calculate the flow rate if I know the pressure and the diameter of the pipe. Can anyone help me figure that out?
 
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