Area of Piston Pump given Volumetric Displacement Calculator

✖Theoretical volumetric displacement in Piston Pump is the amount of liquid displaced per revolution.ⓘ Theoretical Volumetric Displacement in Piston Pump [V_p]			+10% -10%
✖Number of Pistons is the total number of pistons present in a piston pump.ⓘ Number of Pistons [n]			+10% -10%
✖Stroke Length of Piston Pump is how far the piston travels within a cylinder.ⓘ Stroke Length of Piston Pump [L_s]			+10% -10%

✖Area of piston is the value of area of the piston in a piston pump.ⓘ Area of Piston Pump given Volumetric Displacement [A_p]

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Formula

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Area of Piston Pump given Volumetric Displacement

Formula

`"A"_{"p"} = "V"_{"p"}/("n"*"L"_{"s"})`

Example

`"0.039m²"="0.039m³/1"/("5"*"0.2m")`

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Area of Piston Pump given Volumetric Displacement Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Piston = Theoretical Volumetric Displacement in Piston Pump/(Number of Pistons*Stroke Length of Piston Pump)
A_p = V_p/(n*L_s)
This formula uses 4 Variables

Variables Used

Area of Piston - (Measured in Square Meter) - Area of piston is the value of area of the piston in a piston pump.
Theoretical Volumetric Displacement in Piston Pump - (Measured in Cubic Meter Per Revolution) - Theoretical volumetric displacement in Piston Pump is the amount of liquid displaced per revolution.
Number of Pistons - Number of Pistons is the total number of pistons present in a piston pump.
Stroke Length of Piston Pump - (Measured in Meter) - Stroke Length of Piston Pump is how far the piston travels within a cylinder.

STEP 1: Convert Input(s) to Base Unit

Theoretical Volumetric Displacement in Piston Pump: 0.039 Cubic Meter Per Revolution --> 0.039 Cubic Meter Per Revolution No Conversion Required
Number of Pistons: 5 --> No Conversion Required
Stroke Length of Piston Pump: 0.2 Meter --> 0.2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_p = V_p/(n*L_s) --> 0.039/(5*0.2)

Evaluating ... ...

A_p = 0.039

STEP 3: Convert Result to Output's Unit

0.039 Square Meter --> No Conversion Required

FINAL ANSWER

0.039 Square Meter <-- Area of Piston

(Calculation completed in 00.004 seconds)

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Home » Physics » Fluid Mechanics » Fluid Machinery » Hydraulic Pumps » Piston Pumps » Area of Piston Pump given Volumetric Displacement

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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 Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

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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

Area of Piston Pump given Volumetric Displacement Formula

Area of Piston = Theoretical Volumetric Displacement in Piston Pump/(Number of Pistons*Stroke Length of Piston Pump)
A_p = V_p/(n*L_s)

What is theoretical volumetric displacement?

Volumetric displacement or the theoretical volumetric displacement of a positive displacement pump is the amount of liquid pumped in one revolution.

How to Calculate Area of Piston Pump given Volumetric Displacement?

Area of Piston Pump given Volumetric Displacement calculator uses Area of Piston = Theoretical Volumetric Displacement in Piston Pump/(Number of Pistons*Stroke Length of Piston Pump) to calculate the Area of Piston, Area of Piston Pump given Volumetric Displacement is defined as the ratio of volumetric displacement to the product of number of pistons and stroke length. Area of Piston is denoted by A_p symbol.

How to calculate Area of Piston Pump given Volumetric Displacement using this online calculator? To use this online calculator for Area of Piston Pump given Volumetric Displacement, enter Theoretical Volumetric Displacement in Piston Pump (V_p), Number of Pistons (n) & Stroke Length of Piston Pump (L_s) and hit the calculate button. Here is how the Area of Piston Pump given Volumetric Displacement calculation can be explained with given input values -> 0.039 = 0.039/(5*0.2).

FAQ

What is Area of Piston Pump given Volumetric Displacement?

Area of Piston Pump given Volumetric Displacement is defined as the ratio of volumetric displacement to the product of number of pistons and stroke length and is represented as A_p = V_p/(n*L_s) or Area of Piston = Theoretical Volumetric Displacement in Piston Pump/(Number of Pistons*Stroke Length of Piston Pump). Theoretical volumetric displacement in Piston Pump is the amount of liquid displaced per revolution, Number of Pistons is the total number of pistons present in a piston pump & Stroke Length of Piston Pump is how far the piston travels within a cylinder.

How to calculate Area of Piston Pump given Volumetric Displacement?

Area of Piston Pump given Volumetric Displacement is defined as the ratio of volumetric displacement to the product of number of pistons and stroke length is calculated using Area of Piston = Theoretical Volumetric Displacement in Piston Pump/(Number of Pistons*Stroke Length of Piston Pump). To calculate Area of Piston Pump given Volumetric Displacement, you need Theoretical Volumetric Displacement in Piston Pump (V_p), Number of Pistons (n) & Stroke Length of Piston Pump (L_s). With our tool, you need to enter the respective value for Theoretical Volumetric Displacement in Piston Pump, Number of Pistons & Stroke Length of Piston Pump 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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