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Volumetric Displacement of Vane Pumps Formula

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

V D = \frac{π}{2} \cdot e \cdot w vp \cdot (d c + d r)

V_D - Theoretical Volumetric Displacement?e - Eccentricity?w_vp - Width of Rotor in Vane Pump?d_c - Diameter of Cam Ring?d_r - Diameter of Rotor?π - Archimedes' constant?

Volumetric Displacement of Vane Pumps Example

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Here is how the Volumetric Displacement of Vane Pumps equation looks like with Values.

Here is how the Volumetric Displacement of Vane Pumps equation looks like with Units.

Here is how the Volumetric Displacement of Vane Pumps equation looks like.

0.04 = \frac{3.1416}{2} \cdot 0.01 \cdot 20.37 \cdot (0.075 + 0.05)

0.04m³/1 = \frac{3.1416}{2} \cdot 0.01m \cdot 20.37m \cdot (0.075m + 0.05m)

0.04 = \frac{3.1416}{2} \cdot 0.01 \cdot 20.37 \cdot (0.075 + 0.05)

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Volumetric Displacement of Vane Pumps Solution

Follow our step by step solution on how to calculate Volumetric Displacement of Vane Pumps?

FIRST Step Consider the formula

V D = \frac{π}{2} \cdot e \cdot w vp \cdot (d c + d r)

Next Step Substitute values of Variables

∴

V D = \frac{π}{2} \cdot 0.01m \cdot 20.37m \cdot (0.075m + 0.05m)

Next Step Substitute values of Constants

∴

V D = \frac{3.1416}{2} \cdot 0.01m \cdot 20.37m \cdot (0.075m + 0.05m)

Next Step Prepare to Evaluate

∴

V D = \frac{3.1416}{2} \cdot 0.01 \cdot 20.37 \cdot (0.075 + 0.05)

Next Step Evaluate

∴

V D = 0.0399964014710151m³/1

LAST Step Rounding Answer

∴

V D = 0.04m³/1

Volumetric Displacement of Vane Pumps Formula Elements

Variables

Constants

Theoretical Volumetric Displacement

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

Symbol: V_D

Measurement: Volumetric DisplacementUnit: m³/1

Note: Value can be positive or negative.

Formulas to find Theoretical Volumetric Displacement

Eccentricity

Eccentricity of a pump is the difference between cam ring diameter and rotor diameter.

Symbol: e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Eccentricity

Width of Rotor in Vane Pump

Width of Rotor in vane Pump is the width of the rotor of a pump.

Symbol: w_vp

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Width of Rotor in Vane Pump

Diameter of Cam Ring

Diameter of cam ring is the diameter of cam ring of a vane pump.

Symbol: d_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter of Cam Ring

Diameter of Rotor

Diameter of rotor is the value of diameter of the rotor of a pump.

Symbol: d_r

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter of Rotor

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Vane Pumps category

Go Eccentricity of Vane Pump

e = \frac{d c - d r}{2}

Go Theoretical Discharge of Vane Pump

Q vp = V D \cdot N 1

Go Vane Pump Constant

K v = \frac{π}{2} \cdot w vp \cdot (d c + d r)

Go Theoretical Discharge of Vane Pump given diameter of Camring and Rotor

Q vp = \frac{π}{2} \cdot e \cdot w vp \cdot (d c + d r) \cdot N 1

How to Evaluate Volumetric Displacement of Vane Pumps?

Volumetric Displacement of Vane Pumps evaluator uses Theoretical Volumetric Displacement = pi/2*Eccentricity*Width of Rotor in Vane Pump*(Diameter of Cam Ring+Diameter of Rotor) to evaluate the Theoretical Volumetric Displacement, Volumetric Displacement of Vane Pumps formula is defined as the volume of fluid displaced by a vane pump per rotation, which is a critical parameter in hydraulic systems, as it directly affects the pump's efficiency and overall performance, and is used to determine the pump's output and flow rate. Theoretical Volumetric Displacement is denoted by V_D symbol.

How to evaluate Volumetric Displacement of Vane Pumps using this online evaluator? To use this online evaluator for Volumetric Displacement of Vane Pumps, enter Eccentricity (e), Width of Rotor in Vane Pump (w_vp), Diameter of Cam Ring (d_c) & Diameter of Rotor (d_r) and hit the calculate button.

FAQs on Volumetric Displacement of Vane Pumps

What is the formula to find Volumetric Displacement of Vane Pumps?

The formula of Volumetric Displacement of Vane Pumps is expressed as Theoretical Volumetric Displacement = pi/2*Eccentricity*Width of Rotor in Vane Pump*(Diameter of Cam Ring+Diameter of Rotor). Here is an example- 0.039996 = pi/2*0.01*20.37*(0.075+0.05).

How to calculate Volumetric Displacement of Vane Pumps?

With Eccentricity (e), Width of Rotor in Vane Pump (w_vp), Diameter of Cam Ring (d_c) & Diameter of Rotor (d_r) we can find Volumetric Displacement of Vane Pumps using the formula - Theoretical Volumetric Displacement = pi/2*Eccentricity*Width of Rotor in Vane Pump*(Diameter of Cam Ring+Diameter of Rotor). This formula also uses Archimedes' constant .

Can the Volumetric Displacement of Vane Pumps be negative?

Yes, the Volumetric Displacement of Vane Pumps, measured in Volumetric Displacement can be negative.

Which unit is used to measure Volumetric Displacement of Vane Pumps?

Volumetric Displacement of Vane Pumps is usually measured using the Cubic Meter Per Revolution[m³/1] for Volumetric Displacement. are the few other units in which Volumetric Displacement of Vane Pumps can be measured.

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Volumetric Displacement of Vane Pumps Formula

Volumetric Displacement of Vane Pumps Example

Volumetric Displacement of Vane Pumps Solution

Volumetric Displacement of Vane Pumps Formula Elements

Other formulas in Vane Pumps category

How to Evaluate Volumetric Displacement of Vane Pumps?

FAQs on Volumetric Displacement of Vane Pumps

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