How to Calculate Pump Shaft Torque from Flow Rate, RPM, and Diameter?

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To calculate pump shaft torque, known values include flow rate, RPM, and shaft diameter, but additional values like pressure and efficiency are also required. The relevant equations involve output power, which is derived from pressure multiplied by flow rate, and input power, calculated by dividing output power by efficiency. Input power can also be expressed as the product of torque and angular velocity. It's crucial to maintain consistency in units throughout the calculations. Understanding these parameters will facilitate accurate torque determination for the pump shaft.
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Attempting to determine the torque on the shaft of a pump. Known values are flow rate, RPM, and shaft diameter.

1. What other values are needed to make the calculation?

2. What is the equation I can use for this?
 
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1) Pressure and Efficiency I think.

2)
Output power = pressure * flow rate
Input power = output power/efficiency
Input power = Torque * Angular velocity

Make sure you are consistent with the units.
 
Is the pump itself known or are you trying to pick one? You don't necessarily need to calculate or pick the rpm.
 
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