Theoretical Power of Piston Pump Calculator

✖The Angular Speed of Driving Member in Piston Pump is the rate of change of angular position of the driving or the input member.ⓘ Angular Speed of Driving Member in Piston Pump [N_d1]			+10% -10%
✖Theoretical torque is the theoretical value of the torque developed by the pump.ⓘ Theoretical Torque [T_th]			+10% -10%

✖Theoretical Power for Piston Pump is the theoretical value of the power delivered to the pump.ⓘ Theoretical Power of Piston Pump [P_the]

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Formula

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Theoretical Power of Piston Pump

Formula

`"P"_{"the"} = 2*pi*"N"_{"d1"}*"T"_{"th"}`

Example

`"1617.826W"=2*pi*"20.49rev/min"*"120N*m"`

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Theoretical Power of Piston Pump Solution

STEP 0: Pre-Calculation Summary

Formula Used

Theoretical Power for Piston Pump = 2*pi*Angular Speed of Driving Member in Piston Pump*Theoretical Torque
P_the = 2*pi*N_d1*T_th
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Theoretical Power for Piston Pump - (Measured in Watt) - Theoretical Power for Piston Pump is the theoretical value of the power delivered to the pump.
Angular Speed of Driving Member in Piston Pump - (Measured in Radian per Second) - The Angular Speed of Driving Member in Piston Pump is the rate of change of angular position of the driving or the input member.
Theoretical Torque - (Measured in Newton Meter) - Theoretical torque is the theoretical value of the torque developed by the pump.

STEP 1: Convert Input(s) to Base Unit

Angular Speed of Driving Member in Piston Pump: 20.49 Revolution per Minute --> 2.14570778229256 Radian per Second (Check conversion here)
Theoretical Torque: 120 Newton Meter --> 120 Newton Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_the = 2*pi*N_d1*T_th --> 2*pi*2.14570778229256*120

Evaluating ... ...

P_the = 1617.82555334418

STEP 3: Convert Result to Output's Unit

1617.82555334418 Watt --> No Conversion Required

FINAL ANSWER

1617.82555334418 ≈ 1617.826 Watt <-- Theoretical Power for Piston Pump

(Calculation completed in 00.004 seconds)

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Home » Physics » Fluid Mechanics » Fluid Machinery » Hydraulic Pumps » Piston Pumps » Theoretical Power of Piston Pump

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Created by Sagar S Kulkarni

Dayananda Sagar College of Engineering (DSCE), Bengaluru

Sagar S Kulkarni has created this Calculator and 200+ more calculators!

Verified by Chilvera Bhanu Teja

Institute of Aeronautical Engineering (IARE), Hyderabad

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< 19 Piston Pumps Calculators

Efficiency of Jet Pump

Go Efficiency of Jet Pump = (Discharge through Suction Pipe*(Suction Head+Delivery Head))/(Discharge through Nozzle*(Pressure Head on Delivery Side-Delivery Head))

Angle of Swash Plate Inclination given Volumetric Displacement

Go Swash Plate Inclination = atan(Theoretical Volumetric Displacement in Piston Pump/(Number of Pistons*Area of Piston*Pitch Circle Diameter of Bore))

Theoretical Volumetric Displacement given Bore Diameter and Swash Plate Inclination

Go Theoretical Volumetric Displacement in Piston Pump = Number of Pistons*Area of Piston*Pitch Circle Diameter of Bore*tan(Swash Plate Inclination)

Tan of Angle of Swash Plate Inclination given Volumetric Displacement

Go Tan of Angle of Inclination = Theoretical Volumetric Displacement in Piston Pump/(Number of Pistons*Area of Piston*Pitch Circle Diameter of Bore)

Piston Pump Constant K

Go Piston Pump Constant = (pi*Number of Pistons*Piston Diameter^2*Pitch Circle Diameter of Bore)/4

Stroke Length of Piston Pump given Volumetric Displacement

Go Stroke Length of Piston Pump = Theoretical Volumetric Displacement in Piston Pump/(Number of Pistons*Area of Piston)

Area of Piston Pump given Volumetric Displacement

Go Area of Piston = Theoretical Volumetric Displacement in Piston Pump/(Number of Pistons*Stroke Length of Piston Pump)

Theoretical Volumetric Displacement given Area of Piston and Stroke Length

Go Theoretical Volumetric Displacement in Piston Pump = Number of Pistons*Area of Piston*Stroke Length of Piston Pump

Theoretical Power of Piston Pump

Go Theoretical Power for Piston Pump = 2*pi*Angular Speed of Driving Member in Piston Pump*Theoretical Torque

Theoretical Discharge given Angular Speed of Driving Member of Hydraulic Pump

Go Theoretical Discharge of Pump = Theoretical Volumetric Displacement in Piston Pump*Angular Speed of Driving Member in Piston Pump

Swash Plate Inclination with Axis of Cylinder

Go Swash Plate Inclination = atan(Stroke Length of Piston Pump/Pitch Circle Diameter of Bore)

Stroke Length of Axial Piston Pump

Go Stroke Length of Piston Pump = Pitch Circle Diameter of Bore*tan(Swash Plate Inclination)

Actual Torque Developed in Piston Pumps

Go Actual Torque = (60*Input Power)/(2*pi*Angular Speed of Driving Member in Piston Pump)

Volumetric Efficiency of Pump given Actual and Theoretical Discharge of Pump

Go Volumetric Efficiency of Piston Pump = Actual Discharge of Pump/Theoretical Discharge of Pump

Tan of Angle of Inclination of Swash Plate

Go Tan of Angle of Inclination = Stroke Length of Piston Pump/Pitch Circle Diameter of Bore

Overall Efficiency of Piston Pump

Go Overall Efficiency = Mechanical Efficiency*Volumetric Efficiency of Piston Pump

Overall Efficiency given Actual and Theoretical Discharge

Go Overall Efficiency = Actual Discharge of Pump/Theoretical Discharge of Pump

Mechanical Efficiency given Theoretical and Actual Power Delivered

Go Mechanical Efficiency = Theoretical Power Delivered/Actual Power Delivered

Mechanical Efficiency given Theoretical and Actual Torque

Go Mechanical Efficiency = Theoretical Torque/Actual Torque

Theoretical Power of Piston Pump Formula

Theoretical Power for Piston Pump = 2*pi*Angular Speed of Driving Member in Piston Pump*Theoretical Torque
P_the = 2*pi*N_d1*T_th

What are some applications of piston pumps?

Piston pumps are used for water and oil hydraulics, industrial processing equipment, high pressure cleaning and the pumping of liquids.

How to Calculate Theoretical Power of Piston Pump?

Theoretical Power of Piston Pump calculator uses Theoretical Power for Piston Pump = 2*pi*Angular Speed of Driving Member in Piston Pump*Theoretical Torque to calculate the Theoretical Power for Piston Pump, Theoretical Power of Piston Pump refers to the power that the pump should ideally consume or deliver based on its design parameters and operating conditions. It is a measure of the pump's capacity to perform work or transfer energy to the fluid being pumped. Theoretical Power for Piston Pump is denoted by P_the symbol.

How to calculate Theoretical Power of Piston Pump using this online calculator? To use this online calculator for Theoretical Power of Piston Pump, enter Angular Speed of Driving Member in Piston Pump (N_d1) & Theoretical Torque (T_th) and hit the calculate button. Here is how the Theoretical Power of Piston Pump calculation can be explained with given input values -> 1617.826 = 2*pi*2.14570778229256*120.

FAQ

What is Theoretical Power of Piston Pump?

Theoretical Power of Piston Pump refers to the power that the pump should ideally consume or deliver based on its design parameters and operating conditions. It is a measure of the pump's capacity to perform work or transfer energy to the fluid being pumped and is represented as P_the = 2*pi*N_d1*T_th or Theoretical Power for Piston Pump = 2*pi*Angular Speed of Driving Member in Piston Pump*Theoretical Torque. The Angular Speed of Driving Member in Piston Pump is the rate of change of angular position of the driving or the input member & Theoretical torque is the theoretical value of the torque developed by the pump.

How to calculate Theoretical Power of Piston Pump?

Theoretical Power of Piston Pump refers to the power that the pump should ideally consume or deliver based on its design parameters and operating conditions. It is a measure of the pump's capacity to perform work or transfer energy to the fluid being pumped is calculated using Theoretical Power for Piston Pump = 2*pi*Angular Speed of Driving Member in Piston Pump*Theoretical Torque. To calculate Theoretical Power of Piston Pump, you need Angular Speed of Driving Member in Piston Pump (N_d1) & Theoretical Torque (T_th). With our tool, you need to enter the respective value for Angular Speed of Driving Member in Piston Pump & Theoretical Torque and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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