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Width of Rotor of Vane Pump given Volumetric Displacement Formula

GoWidth of Vane Pump given Theoretical Discharge Formula

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

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

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

Width of Rotor of Vane Pump given Volumetric Displacement Example

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Here is how the Width of Rotor of Vane Pump given Volumetric Displacement equation looks like with Values.

Here is how the Width of Rotor of Vane Pump given Volumetric Displacement equation looks like with Units.

Here is how the Width of Rotor of Vane Pump given Volumetric Displacement equation looks like.

20.3718 = \frac{2 \cdot 0.04}{3.1416 \cdot 0.01 \cdot (0.075 + 0.05)}

20.3718m = \frac{2 \cdot 0.04m³/1}{3.1416 \cdot 0.01m \cdot (0.075m + 0.05m)}

20.3718 = \frac{2 \cdot 0.04}{3.1416 \cdot 0.01 \cdot (0.075 + 0.05)}

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Width of Rotor of Vane Pump given Volumetric Displacement Solution

Follow our step by step solution on how to calculate Width of Rotor of Vane Pump given Volumetric Displacement?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

w vp = \frac{2 \cdot 0.04m³/1}{π \cdot 0.01m \cdot (0.075m + 0.05m)}

Next Step Substitute values of Constants

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

w vp = 20.3718327157626m

LAST Step Rounding Answer

∴

w vp = 20.3718m

Width of Rotor of Vane Pump given Volumetric Displacement Formula Elements

Variables

Constants

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

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

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 to find Width of Rotor in Vane Pump

Go Width of Vane Pump given Theoretical Discharge

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

Other formulas in Vane Pumps category

Go Volumetric Displacement of Vane Pumps

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

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)

How to Evaluate Width of Rotor of Vane Pump given Volumetric Displacement?

Width of Rotor of Vane Pump given Volumetric Displacement evaluator uses Width of Rotor in Vane Pump = (2*Theoretical Volumetric Displacement)/(pi*Eccentricity*(Diameter of Cam Ring+Diameter of Rotor)) to evaluate the Width of Rotor in Vane Pump, Width of Rotor of Vane Pump given Volumetric Displacement formula is defined as the diameter of the rotor that separates the high-pressure and low-pressure regions in a vane pump, which affects the pump's efficiency and overall performance in hydraulic systems. Width of Rotor in Vane Pump is denoted by w_vp symbol.

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

FAQs on Width of Rotor of Vane Pump given Volumetric Displacement

What is the formula to find Width of Rotor of Vane Pump given Volumetric Displacement?

The formula of Width of Rotor of Vane Pump given Volumetric Displacement is expressed as Width of Rotor in Vane Pump = (2*Theoretical Volumetric Displacement)/(pi*Eccentricity*(Diameter of Cam Ring+Diameter of Rotor)). Here is an example- 20.37183 = (2*0.04)/(pi*0.01*(0.075+0.05)).

How to calculate Width of Rotor of Vane Pump given Volumetric Displacement?

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

What are the other ways to Calculate Width of Rotor in Vane Pump?

Here are the different ways to Calculate Width of Rotor in Vane Pump-

Width of Rotor in Vane Pump=(2*Theoretical Discharge of Pump in Vane Pump)/(pi*Eccentricity*Angular Speed of Driving Member*(Diameter of Cam Ring+Diameter of Rotor))

Can the Width of Rotor of Vane Pump given Volumetric Displacement be negative?

No, the Width of Rotor of Vane Pump given Volumetric Displacement, measured in Length cannot be negative.

Which unit is used to measure Width of Rotor of Vane Pump given Volumetric Displacement?

Width of Rotor of Vane Pump given Volumetric Displacement is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Width of Rotor of Vane Pump given Volumetric Displacement can be measured.

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Width of Rotor of Vane Pump given Volumetric Displacement Formula

​GoWidth of Vane Pump given Theoretical Discharge Formula

Width of Rotor of Vane Pump given Volumetric Displacement Example

Width of Rotor of Vane Pump given Volumetric Displacement Solution

Width of Rotor of Vane Pump given Volumetric Displacement Formula Elements

Other Formulas to find Width of Rotor in Vane Pump

Other formulas in Vane Pumps category

How to Evaluate Width of Rotor of Vane Pump given Volumetric Displacement?

FAQs on Width of Rotor of Vane Pump given Volumetric Displacement

Variable Name

GoWidth of Vane Pump given Theoretical Discharge Formula