Angle of Swash Plate Inclination 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%
✖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.ⓘ Angle of Swash Plate Inclination given Volumetric Displacement [θ]

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Formula

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Angle of Swash Plate Inclination given Volumetric Displacement

Formula

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

Example

`"62.27174°"=atan("0.039m³/1"/("5"*"0.041m²"*"0.1m"))`

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Angle of Swash Plate Inclination given Volumetric Displacement Solution

STEP 0: Pre-Calculation Summary

Formula Used

Swash Plate Inclination = atan(Theoretical Volumetric Displacement in Piston Pump/(Number of Pistons*Area of Piston*Pitch Circle Diameter of Bore))
θ = atan(V_p/(n*A_p*d_b))
This formula uses 2 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)
atan - Inverse tan is used to calculate the angle by applying the tangent ratio of the angle, which is the opposite side divided by the adjacent side of the right triangle., atan(Number)

Variables Used

Swash Plate Inclination - (Measured in Radian) - Swash plate inclination is the inclination of the swash plate with axis of cylinder.
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.

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
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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ = atan(V_p/(n*A_p*d_b)) --> atan(0.039/(5*0.041*0.1))

Evaluating ... ...

θ = 1.08684693893487

STEP 3: Convert Result to Output's Unit

1.08684693893487 Radian -->62.2717425776926 Degree (Check conversion here)

FINAL ANSWER

62.2717425776926 ≈ 62.27174 Degree <-- Swash Plate Inclination

(Calculation completed in 00.004 seconds)

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Home » Physics » Fluid Mechanics » Fluid Machinery » Hydraulic Pumps » Piston Pumps » Angle of Swash Plate Inclination given Volumetric Displacement

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Created by Sagar S Kulkarni

Dayananda Sagar College of Engineering (DSCE), Bengaluru

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Institute of Aeronautical Engineering (IARE), Hyderabad

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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

Angle of Swash Plate Inclination given Volumetric Displacement Formula

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

What are some applications of piston pumps?

Some applications of piston pumps are 1.High-Pressure Cleaning 2.Water Hydraulics 3.Oil Hydraulics 4.Descaling.

How to Calculate Angle of Swash Plate Inclination given Volumetric Displacement?

Angle of Swash Plate Inclination given Volumetric Displacement calculator uses Swash Plate Inclination = atan(Theoretical Volumetric Displacement in Piston Pump/(Number of Pistons*Area of Piston*Pitch Circle Diameter of Bore)) to calculate the Swash Plate Inclination, Angle of Swash Plate Inclination given Volumetric Displacement is defined as inverse tan of the ratio of volumetric displacement to the product of a number of pistons, area of piston, and bore diameter. Swash Plate Inclination is denoted by θ symbol.

How to calculate Angle of Swash Plate Inclination given Volumetric Displacement using this online calculator? To use this online calculator for Angle of Swash Plate Inclination given Volumetric Displacement, enter Theoretical Volumetric Displacement in Piston Pump (V_p), Number of Pistons (n), Area of Piston (A_p) & Pitch Circle Diameter of Bore (d_b) and hit the calculate button. Here is how the Angle of Swash Plate Inclination given Volumetric Displacement calculation can be explained with given input values -> 3601.058 = atan(0.039/(5*0.041*0.1)).

FAQ

What is Angle of Swash Plate Inclination given Volumetric Displacement?

Angle of Swash Plate Inclination given Volumetric Displacement is defined as inverse tan of the ratio of volumetric displacement to the product of a number of pistons, area of piston, and bore diameter and is represented as θ = atan(V_p/(n*A_p*d_b)) or Swash Plate Inclination = atan(Theoretical Volumetric Displacement in Piston Pump/(Number of Pistons*Area of Piston*Pitch Circle Diameter of Bore)). 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, 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.

How to calculate Angle of Swash Plate Inclination given Volumetric Displacement?

Angle of Swash Plate Inclination given Volumetric Displacement is defined as inverse tan of the ratio of volumetric displacement to the product of a number of pistons, area of piston, and bore diameter is calculated using Swash Plate Inclination = atan(Theoretical Volumetric Displacement in Piston Pump/(Number of Pistons*Area of Piston*Pitch Circle Diameter of Bore)). To calculate Angle of Swash Plate Inclination given Volumetric Displacement, you need Theoretical Volumetric Displacement in Piston Pump (V_p), Number of Pistons (n), Area of Piston (A_p) & Pitch Circle Diameter of Bore (d_b). With our tool, you need to enter the respective value for Theoretical Volumetric Displacement in Piston Pump, Number of Pistons, Area of Piston & Pitch Circle Diameter of Bore 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 Swash Plate Inclination?

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

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

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