Tan of Angle of Swash Plate Inclination given Volumetric Displacement Solution

STEP 0: Pre-Calculation Summary
Formula Used
Tan of Angle of Inclination = Theoretical Volumetric Displacement in Piston Pump/(Number of Pistons*Area of Piston*Pitch Circle Diameter of Bore)
tanθ = Vp/(n*Ap*db)
This formula uses 5 Variables
Variables Used
Tan of Angle of Inclination - Tan of Angle of Inclination is the tangent of swash plate inclination.
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
tanθ = Vp/(n*Ap*db) --> 0.039/(5*0.041*0.1)
Evaluating ... ...
tanθ = 1.90243902439024
STEP 3: Convert Result to Output's Unit
1.90243902439024 --> No Conversion Required
FINAL ANSWER
1.90243902439024 1.902439 <-- Tan of Angle of Inclination
(Calculation completed in 00.004 seconds)

Credits

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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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

Tan of Angle of Swash Plate Inclination given Volumetric Displacement Formula

Tan of Angle of Inclination = Theoretical Volumetric Displacement in Piston Pump/(Number of Pistons*Area of Piston*Pitch Circle Diameter of Bore)
tanθ = Vp/(n*Ap*db)

What are the two major types of piston pumps?

The two major types of piston pumps are: 1. Axial piston pumps and 2. Radial piston pumps. This classification is based on their orientation.

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

Tan of Angle of Swash Plate Inclination given Volumetric Displacement calculator uses Tan of Angle of Inclination = Theoretical Volumetric Displacement in Piston Pump/(Number of Pistons*Area of Piston*Pitch Circle Diameter of Bore) to calculate the Tan of Angle of Inclination, Tan of Angle of Swash Plate Inclination given Volumetric Displacement is commonly encountered in axial piston pumps and axial piston motors. It refers to the angle at which the swash plate is positioned relative to the axis of the pump/motor. Tan of Angle of Inclination is denoted by tanθ symbol.

How to calculate Tan of Angle of Swash Plate Inclination given Volumetric Displacement using this online calculator? To use this online calculator for Tan of Angle of Swash Plate Inclination given Volumetric Displacement, enter Theoretical Volumetric Displacement in Piston Pump (Vp), Number of Pistons (n), Area of Piston (Ap) & Pitch Circle Diameter of Bore (db) and hit the calculate button. Here is how the Tan of Angle of Swash Plate Inclination given Volumetric Displacement calculation can be explained with given input values -> 1.95 = 0.039/(5*0.041*0.1).

FAQ

What is Tan of Angle of Swash Plate Inclination given Volumetric Displacement?
Tan of Angle of Swash Plate Inclination given Volumetric Displacement is commonly encountered in axial piston pumps and axial piston motors. It refers to the angle at which the swash plate is positioned relative to the axis of the pump/motor and is represented as tanθ = Vp/(n*Ap*db) or Tan of Angle of Inclination = 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 Tan of Angle of Swash Plate Inclination given Volumetric Displacement?
Tan of Angle of Swash Plate Inclination given Volumetric Displacement is commonly encountered in axial piston pumps and axial piston motors. It refers to the angle at which the swash plate is positioned relative to the axis of the pump/motor is calculated using Tan of Angle of Inclination = Theoretical Volumetric Displacement in Piston Pump/(Number of Pistons*Area of Piston*Pitch Circle Diameter of Bore). To calculate Tan of Angle of Swash Plate Inclination given Volumetric Displacement, you need Theoretical Volumetric Displacement in Piston Pump (Vp), Number of Pistons (n), Area of Piston (Ap) & Pitch Circle Diameter of Bore (db). 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 Tan of Angle of Inclination?
In this formula, Tan of Angle of 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 -
  • Tan of Angle of Inclination = Stroke Length of Piston Pump/Pitch Circle Diameter of Bore
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