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Theoretical Volumetric Displacement of External Gear Pump Formula

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

V gp = \frac{π}{4} \cdot w \cdot ({D o}^{2} - {D i}^{2})

V_gp - Theoretical Volumetric Displacement in Gear Pump?w - Width of Rotor?D_o - Outer Diameter of Gear Teeth?D_i - Inner Diameter of Gear Teeth?π - Archimedes' constant?

Theoretical Volumetric Displacement of External Gear Pump Example

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Here is how the Theoretical Volumetric Displacement of External Gear Pump equation looks like with Values.

Here is how the Theoretical Volumetric Displacement of External Gear Pump equation looks like with Units.

Here is how the Theoretical Volumetric Displacement of External Gear Pump equation looks like.

0.0207 = \frac{3.1416}{4} \cdot 0.02 \cdot ({1.15}^{2} - {0.06}^{2})

0.0207m³/1 = \frac{3.1416}{4} \cdot 0.02m \cdot ({1.15m}^{2} - {0.06m}^{2})

0.0207 = \frac{3.1416}{4} \cdot 0.02 \cdot ({1.15}^{2} - {0.06}^{2})

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Theoretical Volumetric Displacement of External Gear Pump Solution

Follow our step by step solution on how to calculate Theoretical Volumetric Displacement of External Gear Pump?

FIRST Step Consider the formula

V gp = \frac{π}{4} \cdot w \cdot ({D o}^{2} - {D i}^{2})

Next Step Substitute values of Variables

∴

V gp = \frac{π}{4} \cdot 0.02m \cdot ({1.15m}^{2} - {0.06m}^{2})

Next Step Substitute values of Constants

∴

V gp = \frac{3.1416}{4} \cdot 0.02m \cdot ({1.15m}^{2} - {0.06m}^{2})

Next Step Prepare to Evaluate

∴

V gp = \frac{3.1416}{4} \cdot 0.02 \cdot ({1.15}^{2} - {0.06}^{2})

Next Step Evaluate

∴

V gp = 0.0207172327540979m³/1

LAST Step Rounding Answer

∴

V gp = 0.0207m³/1

Theoretical Volumetric Displacement of External Gear Pump Formula Elements

Variables

Constants

Theoretical Volumetric Displacement in Gear Pump

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

Symbol: V_gp

Measurement: Volumetric DisplacementUnit: m³/1

Note: Value can be positive or negative.

Formulas to find Theoretical Volumetric Displacement in Gear Pump

Width of Rotor

Width of Rotor is the width of the rotor of a pump.

Symbol: w

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Width of Rotor

Outer Diameter of Gear Teeth

Outer Diameter of Gear Teeth is the diameter of a circle around the outer surface, or tops of the gear teeth.

Symbol: D_o

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Outer Diameter of Gear Teeth

Inner Diameter of Gear Teeth

Inner diameter of gear teeth is the diameter of the circle passing along the base of the teeth of a gear.

Symbol: D_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inner Diameter of Gear Teeth

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 Gear Pumps category

Go Theoretical Discharge of External Gear Pump

Q gp = V gp \cdot n 1

Go Volumetric Efficiency of Gear Pumps

η v = \frac{Q ga}{Q gp} \cdot 100

Go Pump Slippage

S = Q gp - Q ga

Go Pump Slippage Percentage

%S = (\frac{Q gp - Q ga}{Q gp}) \cdot 100

How to Evaluate Theoretical Volumetric Displacement of External Gear Pump?

Theoretical Volumetric Displacement of External Gear Pump evaluator uses Theoretical Volumetric Displacement in Gear Pump = pi/4*Width of Rotor*(Outer Diameter of Gear Teeth^2-Inner Diameter of Gear Teeth^2) to evaluate the Theoretical Volumetric Displacement in Gear Pump, Theoretical Volumetric Displacement of External Gear Pump formula is defined as the maximum possible volume of fluid that can be displaced per unit time by an external gear pump, which is a critical parameter in hydraulic systems to determine the pump's efficiency and performance. Theoretical Volumetric Displacement in Gear Pump is denoted by V_gp symbol.

How to evaluate Theoretical Volumetric Displacement of External Gear Pump using this online evaluator? To use this online evaluator for Theoretical Volumetric Displacement of External Gear Pump, enter Width of Rotor (w), Outer Diameter of Gear Teeth (D_o) & Inner Diameter of Gear Teeth (D_i) and hit the calculate button.

FAQs on Theoretical Volumetric Displacement of External Gear Pump

What is the formula to find Theoretical Volumetric Displacement of External Gear Pump?

The formula of Theoretical Volumetric Displacement of External Gear Pump is expressed as Theoretical Volumetric Displacement in Gear Pump = pi/4*Width of Rotor*(Outer Diameter of Gear Teeth^2-Inner Diameter of Gear Teeth^2). Here is an example- 207.5556 = pi/4*0.02*(1.15^2-0.06^2).

How to calculate Theoretical Volumetric Displacement of External Gear Pump?

With Width of Rotor (w), Outer Diameter of Gear Teeth (D_o) & Inner Diameter of Gear Teeth (D_i) we can find Theoretical Volumetric Displacement of External Gear Pump using the formula - Theoretical Volumetric Displacement in Gear Pump = pi/4*Width of Rotor*(Outer Diameter of Gear Teeth^2-Inner Diameter of Gear Teeth^2). This formula also uses Archimedes' constant .

Can the Theoretical Volumetric Displacement of External Gear Pump be negative?

Yes, the Theoretical Volumetric Displacement of External Gear Pump, measured in Volumetric Displacement can be negative.

Which unit is used to measure Theoretical Volumetric Displacement of External Gear Pump?

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

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Theoretical Volumetric Displacement of External Gear Pump Formula

Theoretical Volumetric Displacement of External Gear Pump Example

Theoretical Volumetric Displacement of External Gear Pump Solution

Theoretical Volumetric Displacement of External Gear Pump Formula Elements

Other formulas in Gear Pumps category

How to Evaluate Theoretical Volumetric Displacement of External Gear Pump?

FAQs on Theoretical Volumetric Displacement of External Gear Pump

Variable Name