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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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 00.020 seconds)

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Created by Sagar S Kulkarni

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)

Angle of Swash Plate Inclination given Volumetric Displacement Formula

LaTeX Go

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 formula is defined as a measure of the angle of inclination of the swash plate in a hydraulic pump, which affects the pump's performance and efficiency, and is influenced by factors such as volumetric displacement, pump speed, 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 formula is defined as a measure of the angle of inclination of the swash plate in a hydraulic pump, which affects the pump's performance and efficiency, and is influenced by factors such as volumetric displacement, pump speed, 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 formula is defined as a measure of the angle of inclination of the swash plate in a hydraulic pump, which affects the pump's performance and efficiency, and is influenced by factors such as volumetric displacement, pump speed, 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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