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Vane Pump Constant Formula

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Vane pump constant is a constant value for a given vane pump. Check FAQs

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

K_v - Vane Pump Constant?w_vp - Width of Rotor in Vane Pump?d_c - Diameter of Cam Ring?d_r - Diameter of Rotor?π - Archimedes' constant?

Vane Pump Constant Example

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Here is how the Vane Pump Constant equation looks like with Values.

Here is how the Vane Pump Constant equation looks like with Units.

Here is how the Vane Pump Constant equation looks like.

3.9996 = \frac{3.1416}{2} \cdot 20.37 \cdot (0.075 + 0.05)

3.9996m² = \frac{3.1416}{2} \cdot 20.37m \cdot (0.075m + 0.05m)

3.9996 = \frac{3.1416}{2} \cdot 20.37 \cdot (0.075 + 0.05)

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Vane Pump Constant Solution

Follow our step by step solution on how to calculate Vane Pump Constant?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

K v = \frac{π}{2} \cdot 20.37m \cdot (0.075m + 0.05m)

Next Step Substitute values of Constants

∴

K v = \frac{3.1416}{2} \cdot 20.37m \cdot (0.075m + 0.05m)

Next Step Prepare to Evaluate

∴

K v = \frac{3.1416}{2} \cdot 20.37 \cdot (0.075 + 0.05)

Next Step Evaluate

∴

K v = 3.99964014710151m²

LAST Step Rounding Answer

∴

K v = 3.9996m²

Vane Pump Constant Formula Elements

Variables

Constants

Vane Pump Constant

Vane pump constant is a constant value for a given vane pump.

Symbol: K_v

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Vane Pump Constant

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 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 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 Vane Pump Constant?

Vane Pump Constant evaluator uses Vane Pump Constant = pi/2*Width of Rotor in Vane Pump*(Diameter of Cam Ring+Diameter of Rotor) to evaluate the Vane Pump Constant, Vane Pump Constant formula is defined as a measure of the performance of a vane pump, which is a type of hydraulic pump that uses a rotor with vanes to transfer fluid, and is used to determine the pump's efficiency and flow rate in various hydraulic systems. Vane Pump Constant is denoted by K_v symbol.

How to evaluate Vane Pump Constant using this online evaluator? To use this online evaluator for Vane Pump Constant, enter 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 Vane Pump Constant

What is the formula to find Vane Pump Constant?

The formula of Vane Pump Constant is expressed as Vane Pump Constant = pi/2*Width of Rotor in Vane Pump*(Diameter of Cam Ring+Diameter of Rotor). Here is an example- 3.99964 = pi/2*20.37*(0.075+0.05).

How to calculate Vane Pump Constant?

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

Can the Vane Pump Constant be negative?

No, the Vane Pump Constant, measured in Area cannot be negative.

Which unit is used to measure Vane Pump Constant?

Vane Pump Constant is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Vane Pump Constant can be measured.

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Vane Pump Constant Formula

Vane Pump Constant Example

Vane Pump Constant Solution

Vane Pump Constant Formula Elements

Other formulas in Vane Pumps category

How to Evaluate Vane Pump Constant?

FAQs on Vane Pump Constant

Variable Name