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Theoretical Volumetric Displacement given Bore Diameter and Swash Plate Inclination Formula

GoTheoretical Volumetric Displacement given Area of Piston and Stroke Length Formula

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Theoretical volumetric displacement in Piston Pump is the amount of liquid displaced per revolution. Check FAQs

V p = n \cdot A p \cdot d b \cdot \tan (θ)

V_p - Theoretical Volumetric Displacement in Piston Pump?n - Number of Pistons?A_p - Area of Piston?d_b - Pitch Circle Diameter of Bore?θ - Swash Plate Inclination?

Theoretical Volumetric Displacement given Bore Diameter and Swash Plate Inclination Example

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Here is how the Theoretical Volumetric Displacement given Bore Diameter and Swash Plate Inclination equation looks like with Values.

Here is how the Theoretical Volumetric Displacement given Bore Diameter and Swash Plate Inclination equation looks like with Units.

Here is how the Theoretical Volumetric Displacement given Bore Diameter and Swash Plate Inclination equation looks like.

0.041 = 5 \cdot 0.041 \cdot 0.1 \cdot \tan (63.43)

0.041m³/1 = 5 \cdot 0.041m² \cdot 0.1m \cdot \tan (63.43°)

0.041 = 5 \cdot 0.041 \cdot 0.1 \cdot \tan (63.43)

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Theoretical Volumetric Displacement given Bore Diameter and Swash Plate Inclination Solution

Follow our step by step solution on how to calculate Theoretical Volumetric Displacement given Bore Diameter and Swash Plate Inclination?

FIRST Step Consider the formula

V p = n \cdot A p \cdot d b \cdot \tan (θ)

Next Step Substitute values of Variables

∴

V p = 5 \cdot 0.041m² \cdot 0.1m \cdot \tan (63.43°)

Next Step Convert Units

∴

V p = 5 \cdot 0.041m² \cdot 0.1m \cdot \tan (1.1071rad)

Next Step Prepare to Evaluate

∴

V p = 5 \cdot 0.041 \cdot 0.1 \cdot \tan (1.1071)

Next Step Evaluate

∴

V p = 0.0409911482705186m³/1

LAST Step Rounding Answer

∴

V p = 0.041m³/1

Theoretical Volumetric Displacement given Bore Diameter and Swash Plate Inclination Formula Elements

Variables

Functions

Theoretical Volumetric Displacement in Piston Pump

Theoretical volumetric displacement in Piston Pump is the amount of liquid displaced per revolution.

Symbol: V_p

Measurement: Volumetric DisplacementUnit: m³/1

Note: Value can be positive or negative.

Formulas to find Theoretical Volumetric Displacement in Piston Pump

Number of Pistons

Number of Pistons is the total number of pistons present in a piston pump.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Pistons

Area of Piston

Area of piston is the value of area of the piston in a piston pump.

Symbol: A_p

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Piston

Pitch Circle Diameter of Bore

Pitch Circle Diameter of Bore is the diameter of the bore of a piston pump.

Symbol: d_b

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Pitch Circle Diameter of Bore

Swash Plate Inclination

Swash plate inclination is the inclination of the swash plate with axis of cylinder.

Symbol: θ

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Swash Plate Inclination

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.

Syntax: tan(Angle)

Other Formulas to find Theoretical Volumetric Displacement in Piston Pump

Go Theoretical Volumetric Displacement given Area of Piston and Stroke Length

V p = n \cdot A p \cdot L s

Other formulas in Piston Pumps category

Go Stroke Length of Axial Piston Pump

L s = d b \cdot \tan (θ)

Go Piston Pump Constant K

K = \frac{π \cdot n \cdot {d p}^{2} \cdot d b}{4}

Go Theoretical Discharge given Angular Speed of Driving Member of Hydraulic Pump

Q th = V p \cdot N d1

Go Volumetric Efficiency of Pump given Actual and Theoretical Discharge of Pump

η vol = \frac{Q act}{Q th}

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

Theoretical Volumetric Displacement given Bore Diameter and Swash Plate Inclination evaluator uses Theoretical Volumetric Displacement in Piston Pump = Number of Pistons*Area of Piston*Pitch Circle Diameter of Bore*tan(Swash Plate Inclination) to evaluate the Theoretical Volumetric Displacement in Piston Pump, Theoretical Volumetric Displacement given Bore Diameter and Swash Plate Inclination formula is defined as the maximum possible volume of fluid displaced by a pump per unit time, which is a critical parameter in hydraulic pumps, and is influenced by the bore diameter and swash plate inclination of the pump. Theoretical Volumetric Displacement in Piston Pump is denoted by V_p symbol.

How to evaluate Theoretical Volumetric Displacement given Bore Diameter and Swash Plate Inclination using this online evaluator? To use this online evaluator 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.

FAQs on Theoretical Volumetric Displacement given Bore Diameter and Swash Plate Inclination

What is the formula to find Theoretical Volumetric Displacement given Bore Diameter and Swash Plate Inclination?

The formula of Theoretical Volumetric Displacement given Bore Diameter and Swash Plate Inclination is expressed as Theoretical Volumetric Displacement in Piston Pump = Number of Pistons*Area of Piston*Pitch Circle Diameter of Bore*tan(Swash Plate Inclination). Here is an example- 0.039991 = 5*0.041*0.1*tan(1.1070623445398).

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

With Number of Pistons (n), Area of Piston (A_p), Pitch Circle Diameter of Bore (d_b) & Swash Plate Inclination (θ) we can find Theoretical Volumetric Displacement given Bore Diameter and Swash Plate Inclination using the formula - Theoretical Volumetric Displacement in Piston Pump = Number of Pistons*Area of Piston*Pitch Circle Diameter of Bore*tan(Swash Plate Inclination). This formula also uses Tangent (tan) function(s).

What are the other ways to Calculate Theoretical Volumetric Displacement in Piston Pump?

Here are the different ways to Calculate Theoretical Volumetric Displacement in Piston Pump-

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

Can the Theoretical Volumetric Displacement given Bore Diameter and Swash Plate Inclination be negative?

Yes, the Theoretical Volumetric Displacement given Bore Diameter and Swash Plate Inclination, measured in Volumetric Displacement can be negative.

Which unit is used to measure Theoretical Volumetric Displacement given Bore Diameter and Swash Plate Inclination?

Theoretical Volumetric Displacement given Bore Diameter and Swash Plate Inclination is usually measured using the Cubic Meter Per Revolution[m³/1] for Volumetric Displacement. are the few other units in which Theoretical Volumetric Displacement given Bore Diameter and Swash Plate Inclination can be measured.

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Theoretical Volumetric Displacement given Bore Diameter and Swash Plate Inclination Formula

​GoTheoretical Volumetric Displacement given Area of Piston and Stroke Length Formula

Theoretical Volumetric Displacement given Bore Diameter and Swash Plate Inclination Example

Theoretical Volumetric Displacement given Bore Diameter and Swash Plate Inclination Solution

Theoretical Volumetric Displacement given Bore Diameter and Swash Plate Inclination Formula Elements

Other Formulas to find Theoretical Volumetric Displacement in Piston Pump

Other formulas in Piston Pumps category

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

FAQs on Theoretical Volumetric Displacement given Bore Diameter and Swash Plate Inclination

Variable Name

GoTheoretical Volumetric Displacement given Area of Piston and Stroke Length Formula