Hydraulic Pump and Motor for Replacing 16HP Gas Engine

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To replace a 16 horsepower gas engine driving a snowblower at 1000 RPM with a hydraulic system, a hydraulic pump and motor must be selected based on power conservation principles. The required torque for the snowblower is calculated to be 1008 in.lb, and the pump should operate at approximately 3000 RPM. Efficiency is a critical factor, with an assumed efficiency of 0.85 affecting both the GPM and PSI for the pump and motor. The formulas provided can determine the necessary GPM and PSI to achieve the desired performance. Proper calculations ensure the hydraulic system matches the power and torque requirements of the original gas engine setup.
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need a hydraulic pump (gpm) ? to drive a hydraulic motor (torque)? - that has to replace a 16 horsepower gas engine - to drive a snowblower at 1000 rpm,s what is the formula for this? pump would be driven at arpox 3,000 rpm
 
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The power from the pump, the hydraulic motor, the snowblower and the driving motor/engine must all be the same (taking into account their respective efficiencies). Power is conserve throughout the system.

Equations and calculators available http://www.surpluscenter.com/Hydraulic.htm" .

Torque needed by the 16 hp snowblower @ 1000 rpm is 1008 in.lb (Power = Torque X RPM / 63025).

Assuming 0.85 efficiency, the characteristics of the motor are (you need to know the operating pressure or the GPM):

GPM = Torque X RPM / PSI X 2 X pi / 231 / 0.85

GPM and PSI will be the same for the pump. Power and torque for the pump are (assuming 0.85 efficiency):

Power = PSI X GPM / 1714 / 0.85 --> according to the website: «HP is for electric motors, double this for gas engines.» Multiply by 746 to convert into Watt (electric motor).

Torque (ft.lb) = 5252 X Power / RPM

Displacement of the pump and motor (with their respective RPM):

Displacement (in³/rev) = GPM X 231 / RPM
 
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