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Width of Rotor given Volumetric Displacement Formula

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

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

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

Width of Rotor given Volumetric Displacement Example

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

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

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

0.0299 = \frac{4 \cdot 0.031}{3.1416 \cdot ({1.15}^{2} - {0.06}^{2})}

0.0299m = \frac{4 \cdot 0.031m³/1}{3.1416 \cdot ({1.15m}^{2} - {0.06m}^{2})}

0.0299 = \frac{4 \cdot 0.031}{3.1416 \cdot ({1.15}^{2} - {0.06}^{2})}

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Width of Rotor given Volumetric Displacement Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

w = \frac{4 \cdot 0.031m³/1}{π \cdot ({1.15m}^{2} - {0.06m}^{2})}

Next Step Substitute values of Constants

∴

w = \frac{4 \cdot 0.031m³/1}{3.1416 \cdot ({1.15m}^{2} - {0.06m}^{2})}

Next Step Prepare to Evaluate

∴

w = \frac{4 \cdot 0.031}{3.1416 \cdot ({1.15}^{2} - {0.06}^{2})}

Next Step Evaluate

∴

w = 0.0299267767736675m

LAST Step Rounding Answer

∴

w = 0.0299m

Width of Rotor given Volumetric Displacement Formula Elements

Variables

Constants

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

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

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 Volumetric Displacement of External Gear Pump

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

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

How to Evaluate Width of Rotor given Volumetric Displacement?

Width of Rotor given Volumetric Displacement evaluator uses Width of Rotor = (4*Theoretical Volumetric Displacement in Gear Pump)/(pi*(Outer Diameter of Gear Teeth^2-Inner Diameter of Gear Teeth^2)) to evaluate the Width of Rotor, Width of Rotor given Volumetric Displacement formula is defined as the diameter of the rotor that corresponds to a given volumetric displacement in a hydraulic pump, providing a critical design parameter for efficient pump operation. Width of Rotor is denoted by w symbol.

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

FAQs on Width of Rotor given Volumetric Displacement

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

The formula of Width of Rotor given Volumetric Displacement is expressed as Width of Rotor = (4*Theoretical Volumetric Displacement in Gear Pump)/(pi*(Outer Diameter of Gear Teeth^2-Inner Diameter of Gear Teeth^2)). Here is an example- 0.029927 = (4*0.031)/(pi*(1.15^2-0.06^2)).

How to calculate Width of Rotor given Volumetric Displacement?

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

Can the Width of Rotor given Volumetric Displacement be negative?

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

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

Width of Rotor 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 given Volumetric Displacement can be measured.

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Width of Rotor given Volumetric Displacement Formula

Width of Rotor given Volumetric Displacement Example

Width of Rotor given Volumetric Displacement Solution

Width of Rotor given Volumetric Displacement Formula Elements

Other formulas in Gear Pumps category

How to Evaluate Width of Rotor given Volumetric Displacement?

FAQs on Width of Rotor given Volumetric Displacement

Variable Name