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
Pthe = 2*pi*Nd1*Tth
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
Pthe = 2*pi*Nd1*Tth --> 2*pi*2.14570778229256*120
Evaluating ... ...
Pthe = 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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Dayananda Sagar College of Engineering (DSCE), Bengaluru
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Piston Pumps Calculators

Theoretical Volumetric Displacement given Bore Diameter and Swash Plate Inclination
​ LaTeX ​ Go Theoretical Volumetric Displacement in Piston Pump = Number of Pistons*Area of Piston*Pitch Circle Diameter of Bore*tan(Swash Plate Inclination)
Piston Pump Constant K
​ LaTeX ​ Go Piston Pump Constant = (pi*Number of Pistons*Piston Diameter^2*Pitch Circle Diameter of Bore)/4
Theoretical Volumetric Displacement given Area of Piston and Stroke Length
​ LaTeX ​ Go Theoretical Volumetric Displacement in Piston Pump = Number of Pistons*Area of Piston*Stroke Length of Piston Pump
Stroke Length of Axial Piston Pump
​ LaTeX ​ Go Stroke Length of Piston Pump = Pitch Circle Diameter of Bore*tan(Swash Plate Inclination)

Theoretical Power of Piston Pump Formula

​LaTeX ​Go
Theoretical Power for Piston Pump = 2*pi*Angular Speed of Driving Member in Piston Pump*Theoretical Torque
Pthe = 2*pi*Nd1*Tth

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 formula is defined as the maximum power that a piston pump can deliver to a hydraulic system, taking into account the pump's design and operating parameters, and is a critical factor in determining the overall performance and efficiency of the pump in various hydraulic applications. Theoretical Power for Piston Pump is denoted by Pthe 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 (Nd1) & Theoretical Torque (Tth) 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 formula is defined as the maximum power that a piston pump can deliver to a hydraulic system, taking into account the pump's design and operating parameters, and is a critical factor in determining the overall performance and efficiency of the pump in various hydraulic applications and is represented as Pthe = 2*pi*Nd1*Tth 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 formula is defined as the maximum power that a piston pump can deliver to a hydraulic system, taking into account the pump's design and operating parameters, and is a critical factor in determining the overall performance and efficiency of the pump in various hydraulic applications 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 (Nd1) & Theoretical Torque (Tth). 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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