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Angular Speed given Theoretical Discharge and Volumetric Displacement Formula

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The Angular Speed of Driving Member in Gear Pump is the rate of change of angular position of the driving or the input member. Check FAQs

n 1 = \frac{Q gp}{V gp}

n₁ - Angular Speed of Driving Member in Gear Pump?Q_gp - Theoretical Discharge of Pump in Gear Pump?V_gp - Theoretical Volumetric Displacement in Gear Pump?

Angular Speed given Theoretical Discharge and Volumetric Displacement Example

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Here is how the Angular Speed given Theoretical Discharge and Volumetric Displacement equation looks like with Values.

Here is how the Angular Speed given Theoretical Discharge and Volumetric Displacement equation looks like with Units.

Here is how the Angular Speed given Theoretical Discharge and Volumetric Displacement equation looks like.

259.6793 = \frac{0.843}{0.031}

259.6793rev/min = \frac{0.843m³/s}{0.031m³/1}

259.6793 = \frac{0.843}{0.031}

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Angular Speed given Theoretical Discharge and Volumetric Displacement Solution

Follow our step by step solution on how to calculate Angular Speed given Theoretical Discharge and Volumetric Displacement?

FIRST Step Consider the formula

n 1 = \frac{Q gp}{V gp}

Next Step Substitute values of Variables

∴

n 1 = \frac{0.843m³/s}{0.031m³/1}

Next Step Prepare to Evaluate

∴

n 1 = \frac{0.843}{0.031}

Next Step Evaluate

∴

n 1 = 27.1935483870968rad/s

Next Step Convert to Output's Unit

∴

n 1 = 259.679258774129rev/min

LAST Step Rounding Answer

∴

n 1 = 259.6793rev/min

Angular Speed given Theoretical Discharge and Volumetric Displacement Formula Elements

Variables

Angular Speed of Driving Member in Gear Pump

The Angular Speed of Driving Member in Gear Pump 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 in Gear Pump

Theoretical Discharge of Pump in Gear Pump

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

Symbol: Q_gp

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Theoretical Discharge of Pump in Gear Pump

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

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 Angular Speed given Theoretical Discharge and Volumetric Displacement?

Angular Speed given Theoretical Discharge and Volumetric Displacement evaluator uses Angular Speed of Driving Member in Gear Pump = Theoretical Discharge of Pump in Gear Pump/Theoretical Volumetric Displacement in Gear Pump to evaluate the Angular Speed of Driving Member in Gear Pump, Angular Speed given Theoretical Discharge and Volumetric Displacement formula allows you to calculate the angular speed of a gear pump given the pump's theoretical discharge and volumetric displacement. The units of angular speed would depend on the units used for the theoretical discharge and volumetric displacement. Angular Speed of Driving Member in Gear Pump is denoted by n₁ symbol.

How to evaluate Angular Speed given Theoretical Discharge and Volumetric Displacement using this online evaluator? To use this online evaluator for Angular Speed given Theoretical Discharge and Volumetric Displacement, enter Theoretical Discharge of Pump in Gear Pump (Q_gp) & Theoretical Volumetric Displacement in Gear Pump (V_gp) and hit the calculate button.

FAQs on Angular Speed given Theoretical Discharge and Volumetric Displacement

What is the formula to find Angular Speed given Theoretical Discharge and Volumetric Displacement?

The formula of Angular Speed given Theoretical Discharge and Volumetric Displacement is expressed as Angular Speed of Driving Member in Gear Pump = Theoretical Discharge of Pump in Gear Pump/Theoretical Volumetric Displacement in Gear Pump. Here is an example- 2470.93 = 0.843/0.031.

How to calculate Angular Speed given Theoretical Discharge and Volumetric Displacement?

With Theoretical Discharge of Pump in Gear Pump (Q_gp) & Theoretical Volumetric Displacement in Gear Pump (V_gp) we can find Angular Speed given Theoretical Discharge and Volumetric Displacement using the formula - Angular Speed of Driving Member in Gear Pump = Theoretical Discharge of Pump in Gear Pump/Theoretical Volumetric Displacement in Gear Pump.

Can the Angular Speed given Theoretical Discharge and Volumetric Displacement be negative?

No, the Angular Speed given Theoretical Discharge and Volumetric Displacement, measured in Angular Velocity cannot be negative.

Which unit is used to measure Angular Speed given Theoretical Discharge and Volumetric Displacement?

Angular Speed given Theoretical Discharge and Volumetric Displacement is usually measured using the Revolution per Minute[rev/min] for Angular Velocity. Radian per Second[rev/min], Radian per Day[rev/min], Radian per Hour[rev/min] are the few other units in which Angular Speed given Theoretical Discharge and Volumetric Displacement can be measured.

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