Theoretical Volumetric Displacement given Bore Diameter and Swash Plate Inclination Calculator

✖Number of Pistons is the total number of pistons present in a piston pump.ⓘ Number of Pistons [n]			+10% -10%
✖Area of piston is the value of area of the piston in a piston pump.ⓘ Area of Piston [A_p]			+10% -10%
✖Pitch Circle Diameter of Bore is the diameter of the bore of a piston pump.ⓘ Pitch Circle Diameter of Bore [d_b]			+10% -10%
✖Swash plate inclination is the inclination of the swash plate with axis of cylinder.ⓘ Swash Plate Inclination [θ]			+10% -10%

✖Theoretical volumetric displacement in Piston Pump is the amount of liquid displaced per revolution.ⓘ Theoretical Volumetric Displacement given Bore Diameter and Swash Plate Inclination [V_p]

⎘ Copy

👎

Formula

✖

Theoretical Volumetric Displacement given Bore Diameter and Swash Plate Inclination

Formula

`"V"_{"p"} = "n"*"A"_{"p"}*"d"_{"b"}*tan("θ")`

Example

`"0.040991m³/1"="5"*"0.041m²"*"0.1m"*tan("63.43°")`

Calculator

LaTeX

Reset

👍

Download Fluid Mechanics Formula PDF PDF Image

Theoretical Volumetric Displacement given Bore Diameter and Swash Plate Inclination Solution

STEP 0: Pre-Calculation Summary

Formula Used

Theoretical Volumetric Displacement in Piston Pump = Number of Pistons*Area of Piston*Pitch Circle Diameter of Bore*tan(Swash Plate Inclination)
V_p = n*A_p*d_b*tan(θ)
This formula uses 1 Functions, 5 Variables

Functions Used

tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)

Variables Used

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.
Area of Piston - (Measured in Square Meter) - Area of piston is the value of area of the piston in a piston pump.
Pitch Circle Diameter of Bore - (Measured in Meter) - Pitch Circle Diameter of Bore is the diameter of the bore of a piston pump.
Swash Plate Inclination - (Measured in Radian) - Swash plate inclination is the inclination of the swash plate with axis of cylinder.

STEP 1: Convert Input(s) to Base Unit

Number of Pistons: 5 --> No Conversion Required
Area of Piston: 0.041 Square Meter --> 0.041 Square Meter No Conversion Required
Pitch Circle Diameter of Bore: 0.1 Meter --> 0.1 Meter No Conversion Required
Swash Plate Inclination: 63.43 Degree --> 1.1070623445398 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_p = n*A_p*d_b*tan(θ) --> 5*0.041*0.1*tan(1.1070623445398)

Evaluating ... ...

V_p = 0.0409911482705186

STEP 3: Convert Result to Output's Unit

0.0409911482705186 Cubic Meter Per Revolution --> No Conversion Required

FINAL ANSWER

0.0409911482705186 ≈ 0.040991 Cubic Meter Per Revolution <-- Theoretical Volumetric Displacement in Piston Pump

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Fluid Mechanics » Fluid Machinery » Hydraulic Pumps » Piston Pumps » Theoretical Volumetric Displacement given Bore Diameter and Swash Plate Inclination

Credits

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

Vaibhav Malani has verified this Calculator and 200+ more calculators!

< 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 Volumetric Displacement given Bore Diameter and Swash Plate Inclination Formula

Theoretical Volumetric Displacement in Piston Pump = Number of Pistons*Area of Piston*Pitch Circle Diameter of Bore*tan(Swash Plate Inclination)
V_p = n*A_p*d_b*tan(θ)

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 Volumetric Displacement given Bore Diameter and Swash Plate Inclination?

Theoretical Volumetric Displacement given Bore Diameter and Swash Plate Inclination calculator uses Theoretical Volumetric Displacement in Piston Pump = Number of Pistons*Area of Piston*Pitch Circle Diameter of Bore*tan(Swash Plate Inclination) to calculate the Theoretical Volumetric Displacement in Piston Pump, Theoretical Volumetric Displacement given Bore Diameter and Swash Plate Inclination refers to the volume of fluid that the pump should ideally displace or deliver per unit of time based on its design parameters. It is a measure of the pump's capacity and is typically calculated using the pump's geometric properties and operational parameters. Theoretical Volumetric Displacement in Piston Pump is denoted by V_p symbol.

How to calculate Theoretical Volumetric Displacement given Bore Diameter and Swash Plate Inclination using this online calculator? To use this online calculator for Theoretical Volumetric Displacement given Bore Diameter and Swash Plate Inclination, enter Number of Pistons (n), Area of Piston (A_p), Pitch Circle Diameter of Bore (d_b) & Swash Plate Inclination (θ) and hit the calculate button. Here is how the Theoretical Volumetric Displacement given Bore Diameter and Swash Plate Inclination calculation can be explained with given input values -> 0.039991 = 5*0.041*0.1*tan(1.1070623445398).

FAQ

What is Theoretical Volumetric Displacement given Bore Diameter and Swash Plate Inclination?

Theoretical Volumetric Displacement given Bore Diameter and Swash Plate Inclination refers to the volume of fluid that the pump should ideally displace or deliver per unit of time based on its design parameters. It is a measure of the pump's capacity and is typically calculated using the pump's geometric properties and operational parameters and is represented as V_p = n*A_p*d_b*tan(θ) or Theoretical Volumetric Displacement in Piston Pump = Number of Pistons*Area of Piston*Pitch Circle Diameter of Bore*tan(Swash Plate Inclination). Number of Pistons is the total number of pistons present in a piston pump, Area of piston is the value of area of the piston in a piston pump, Pitch Circle Diameter of Bore is the diameter of the bore of a piston pump & Swash plate inclination is the inclination of the swash plate with axis of cylinder.

How to calculate Theoretical Volumetric Displacement given Bore Diameter and Swash Plate Inclination?

Theoretical Volumetric Displacement given Bore Diameter and Swash Plate Inclination refers to the volume of fluid that the pump should ideally displace or deliver per unit of time based on its design parameters. It is a measure of the pump's capacity and is typically calculated using the pump's geometric properties and operational parameters is calculated using Theoretical Volumetric Displacement in Piston Pump = Number of Pistons*Area of Piston*Pitch Circle Diameter of Bore*tan(Swash Plate Inclination). To calculate Theoretical Volumetric Displacement given Bore Diameter and Swash Plate Inclination, you need Number of Pistons (n), Area of Piston (A_p), Pitch Circle Diameter of Bore (d_b) & Swash Plate Inclination (θ). With our tool, you need to enter the respective value for Number of Pistons, Area of Piston, Pitch Circle Diameter of Bore & Swash Plate Inclination and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Theoretical Volumetric Displacement in Piston Pump?

In this formula, Theoretical Volumetric Displacement in Piston Pump uses Number of Pistons, Area of Piston, Pitch Circle Diameter of Bore & Swash Plate Inclination. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

Home

FREE PDFs

🔍 Search