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

GoTheoretical Discharge of Vane Pump Formula

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

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

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

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

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Here is how the Theoretical Discharge of Vane Pump given diameter of Camring and Rotor equation looks like with Values.

Here is how the Theoretical Discharge of Vane Pump given diameter of Camring and Rotor equation looks like with Units.

Here is how the Theoretical Discharge of Vane Pump given diameter of Camring and Rotor equation looks like.

0.8397 = \frac{3.1416}{2} \cdot 0.01 \cdot 20.37 \cdot (0.075 + 0.05) \cdot 200.49

0.8397m³/s = \frac{3.1416}{2} \cdot 0.01m \cdot 20.37m \cdot (0.075m + 0.05m) \cdot 200.49rev/min

0.8397 = \frac{3.1416}{2} \cdot 0.01 \cdot 20.37 \cdot (0.075 + 0.05) \cdot 200.49

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

Follow our step by step solution on how to calculate Theoretical Discharge of Vane Pump given diameter of Camring and Rotor?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Q vp = \frac{π}{2} \cdot 0.01m \cdot 20.37m \cdot (0.075m + 0.05m) \cdot 200.49rev/min

Next Step Substitute values of Constants

∴

Q vp = \frac{3.1416}{2} \cdot 0.01m \cdot 20.37m \cdot (0.075m + 0.05m) \cdot 200.49rev/min

Next Step Convert Units

∴

Q vp = \frac{3.1416}{2} \cdot 0.01m \cdot 20.37m \cdot (0.075m + 0.05m) \cdot 20.9953rad/s

Next Step Prepare to Evaluate

∴

Q vp = \frac{3.1416}{2} \cdot 0.01 \cdot 20.37 \cdot (0.075 + 0.05) \cdot 20.9953

Next Step Evaluate

∴

Q vp = 0.839734996049875m³/s

LAST Step Rounding Answer

∴

Q vp = 0.8397m³/s

Theoretical Discharge of Vane Pump given diameter of Camring and Rotor Formula Elements

Variables

Constants

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

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

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

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 Theoretical Discharge of Pump in Vane Pump

Go Theoretical Discharge of Vane Pump

Q vp = V D \cdot N 1

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 Vane Pump Constant

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

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)}

How to Evaluate Theoretical Discharge of Vane Pump given diameter of Camring and Rotor?

Theoretical Discharge of Vane Pump given diameter of Camring and Rotor evaluator uses Theoretical Discharge of Pump in Vane Pump = pi/2*Eccentricity*Width of Rotor in Vane Pump*(Diameter of Cam Ring+Diameter of Rotor)*Angular Speed of Driving Member to evaluate the Theoretical Discharge of Pump in Vane Pump, Theoretical Discharge of Vane Pump given diameter of Camring and Rotor formula is defined as a measure of the maximum flow rate of a vane pump, which is influenced by the diameter of the camring and rotor, and is a critical parameter in hydraulic pump design and operation. Theoretical Discharge of Pump in Vane Pump is denoted by Q_vp symbol.

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

FAQs on Theoretical Discharge of Vane Pump given diameter of Camring and Rotor

What is the formula to find Theoretical Discharge of Vane Pump given diameter of Camring and Rotor?

The formula of Theoretical Discharge of Vane Pump given diameter of Camring and Rotor is expressed as Theoretical Discharge of Pump in Vane Pump = pi/2*Eccentricity*Width of Rotor in Vane Pump*(Diameter of Cam Ring+Diameter of Rotor)*Angular Speed of Driving Member. Here is an example- 0.839735 = pi/2*0.01*20.37*(0.075+0.05)*20.9952637028714.

How to calculate Theoretical Discharge of Vane Pump given diameter of Camring and Rotor?

With Eccentricity (e), Width of Rotor in Vane Pump (w_vp), Diameter of Cam Ring (d_c), Diameter of Rotor (d_r) & Angular Speed of Driving Member (N₁) we can find Theoretical Discharge of Vane Pump given diameter of Camring and Rotor using the formula - Theoretical Discharge of Pump in Vane Pump = pi/2*Eccentricity*Width of Rotor in Vane Pump*(Diameter of Cam Ring+Diameter of Rotor)*Angular Speed of Driving Member. This formula also uses Archimedes' constant .

What are the other ways to Calculate Theoretical Discharge of Pump in Vane Pump?

Here are the different ways to Calculate Theoretical Discharge of Pump in Vane Pump-

Theoretical Discharge of Pump in Vane Pump=Theoretical Volumetric Displacement*Angular Speed of Driving Member

Can the Theoretical Discharge of Vane Pump given diameter of Camring and Rotor be negative?

No, the Theoretical Discharge of Vane Pump given diameter of Camring and Rotor, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Theoretical Discharge of Vane Pump given diameter of Camring and Rotor?

Theoretical Discharge of Vane Pump given diameter of Camring and Rotor is usually measured using the Cubic Meter per Second[m³/s] for Volumetric Flow Rate. Cubic Meter per Day[m³/s], Cubic Meter per Hour[m³/s], Cubic Meter per Minute[m³/s] are the few other units in which Theoretical Discharge of Vane Pump given diameter of Camring and Rotor can be measured.

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

​GoTheoretical Discharge of Vane Pump Formula

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

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

Theoretical Discharge of Vane Pump given diameter of Camring and Rotor Formula Elements

Other Formulas to find Theoretical Discharge of Pump in Vane Pump

Other formulas in Vane Pumps category

How to Evaluate Theoretical Discharge of Vane Pump given diameter of Camring and Rotor?

FAQs on Theoretical Discharge of Vane Pump given diameter of Camring and Rotor

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GoTheoretical Discharge of Vane Pump Formula