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Width of Vane Pump given Theoretical Discharge Formula

GoWidth of Rotor of Vane Pump given Volumetric Displacement 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 Q vp}{π \cdot e \cdot N 1 \cdot (d c + d r)}

w_vp - Width of Rotor in Vane Pump?Q_vp - Theoretical Discharge of Pump in Vane Pump?e - Eccentricity?N₁ - Angular Speed of Driving Member?d_c - Diameter of Cam Ring?d_r - Diameter of Rotor?π - Archimedes' constant?

Width of Vane Pump given Theoretical Discharge Example

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Here is how the Width of Vane Pump given Theoretical Discharge equation looks like with Values.

Here is how the Width of Vane Pump given Theoretical Discharge equation looks like with Units.

Here is how the Width of Vane Pump given Theoretical Discharge equation looks like.

20.3764 = \frac{2 \cdot 0.84}{3.1416 \cdot 0.01 \cdot 200.49 \cdot (0.075 + 0.05)}

20.3764m = \frac{2 \cdot 0.84m³/s}{3.1416 \cdot 0.01m \cdot 200.49rev/min \cdot (0.075m + 0.05m)}

20.3764 = \frac{2 \cdot 0.84}{3.1416 \cdot 0.01 \cdot 200.49 \cdot (0.075 + 0.05)}

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Width of Vane Pump given Theoretical Discharge Solution

Follow our step by step solution on how to calculate Width of Vane Pump given Theoretical Discharge?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

w vp = \frac{2 \cdot 0.84m³/s}{π \cdot 0.01m \cdot 200.49rev/min \cdot (0.075m + 0.05m)}

Next Step Substitute values of Constants

∴

w vp = \frac{2 \cdot 0.84m³/s}{3.1416 \cdot 0.01m \cdot 200.49rev/min \cdot (0.075m + 0.05m)}

Next Step Convert Units

∴

w vp = \frac{2 \cdot 0.84m³/s}{3.1416 \cdot 0.01m \cdot 20.9953rad/s \cdot (0.075m + 0.05m)}

Next Step Prepare to Evaluate

∴

w vp = \frac{2 \cdot 0.84}{3.1416 \cdot 0.01 \cdot 20.9953 \cdot (0.075 + 0.05)}

Next Step Evaluate

∴

w vp = 20.3764283738196m

LAST Step Rounding Answer

∴

w vp = 20.3764m

Width of Vane Pump given Theoretical Discharge 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 Discharge of Pump in Vane Pump

Theoretical Discharge of Pump in Vane Pump is the volume of liquid pumped out in unit time.

Symbol: Q_vp

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Theoretical Discharge of Pump in Vane Pump

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

Angular Speed of Driving Member

The Angular Speed of Driving Member in RPM is the rate of change of angular position of the driving or the input member.

Symbol: N₁

Measurement: Angular VelocityUnit: rev/min

Note: Value should be greater than 0.

Formulas to find Angular Speed of Driving Member

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 Rotor of Vane Pump given Volumetric Displacement

w vp = \frac{2 \cdot V D}{π \cdot e \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 Vane Pump given Theoretical Discharge?

Width of Vane Pump given Theoretical Discharge evaluator uses 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)) to evaluate the Width of Rotor in Vane Pump, Width of Vane Pump given Theoretical Discharge formula is defined as the maximum width of the vane pump that can be achieved theoretically, considering the pump's discharge capacity, efficiency, and other design parameters, which is crucial in hydraulic pump design to ensure optimal performance and efficiency. Width of Rotor in Vane Pump is denoted by w_vp symbol.

How to evaluate Width of Vane Pump given Theoretical Discharge using this online evaluator? To use this online evaluator for Width of Vane Pump given Theoretical Discharge, enter Theoretical Discharge of Pump in Vane Pump (Q_vp), Eccentricity (e), Angular Speed of Driving Member (N₁), Diameter of Cam Ring (d_c) & Diameter of Rotor (d_r) and hit the calculate button.

FAQs on Width of Vane Pump given Theoretical Discharge

What is the formula to find Width of Vane Pump given Theoretical Discharge?

The formula of Width of Vane Pump given Theoretical Discharge is expressed as 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)). Here is an example- 20.37643 = (2*0.84)/(pi*0.01*20.9952637028714*(0.075+0.05)).

How to calculate Width of Vane Pump given Theoretical Discharge?

With Theoretical Discharge of Pump in Vane Pump (Q_vp), Eccentricity (e), Angular Speed of Driving Member (N₁), Diameter of Cam Ring (d_c) & Diameter of Rotor (d_r) we can find Width of Vane Pump given Theoretical Discharge using the formula - 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)). 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 Volumetric Displacement)/(pi*Eccentricity*(Diameter of Cam Ring+Diameter of Rotor))

Can the Width of Vane Pump given Theoretical Discharge be negative?

No, the Width of Vane Pump given Theoretical Discharge, measured in Length cannot be negative.

Which unit is used to measure Width of Vane Pump given Theoretical Discharge?

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

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Width of Vane Pump given Theoretical Discharge Formula

​GoWidth of Rotor of Vane Pump given Volumetric Displacement Formula

Width of Vane Pump given Theoretical Discharge Example

Width of Vane Pump given Theoretical Discharge Solution

Width of Vane Pump given Theoretical Discharge Formula Elements

Other Formulas to find Width of Rotor in Vane Pump

Other formulas in Vane Pumps category

How to Evaluate Width of Vane Pump given Theoretical Discharge?

FAQs on Width of Vane Pump given Theoretical Discharge

Variable Name

GoWidth of Rotor of Vane Pump given Volumetric Displacement Formula