Angular Speed given Theoretical Discharge and Volumetric Displacement Calculator

✖Theoretical Discharge of Pump in Gear Pump is the volume of liquid pumped out in unit time.ⓘ Theoretical Discharge of Pump in Gear Pump [Q_gp]			+10% -10%
✖Theoretical volumetric displacement in Gear Pump is the amount of liquid displaced per revolution.ⓘ Theoretical Volumetric Displacement in Gear Pump [V_gp]			+10% -10%

✖The Angular Speed of Driving Member in Gear Pump is the rate of change of angular position of the driving or the input member.ⓘ Angular Speed given Theoretical Discharge and Volumetric Displacement [n₁]

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Angular Speed given Theoretical Discharge and Volumetric Displacement Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angular Speed of Driving Member in Gear Pump = Theoretical Discharge of Pump in Gear Pump/Theoretical Volumetric Displacement in Gear Pump
n₁ = Q_gp/V_gp
This formula uses 3 Variables

Variables Used

Angular Speed of Driving Member in Gear Pump - (Measured in Radian per Second) - The Angular Speed of Driving Member in Gear Pump is the rate of change of angular position of the driving or the input member.
Theoretical Discharge of Pump in Gear Pump - (Measured in Cubic Meter per Second) - Theoretical Discharge of Pump in Gear Pump is the volume of liquid pumped out in unit time.
Theoretical Volumetric Displacement in Gear Pump - (Measured in Cubic Meter Per Revolution) - Theoretical volumetric displacement in Gear Pump is the amount of liquid displaced per revolution.

STEP 1: Convert Input(s) to Base Unit

Theoretical Discharge of Pump in Gear Pump: 0.843 Cubic Meter per Second --> 0.843 Cubic Meter per Second No Conversion Required
Theoretical Volumetric Displacement in Gear Pump: 0.031 Cubic Meter Per Revolution --> 0.031 Cubic Meter Per Revolution No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

n₁ = Q_gp/V_gp --> 0.843/0.031

Evaluating ... ...

n₁ = 27.1935483870968

STEP 3: Convert Result to Output's Unit

27.1935483870968 Radian per Second -->259.679258774129 Revolution per Minute (Check conversion here)

FINAL ANSWER

259.679258774129 ≈ 259.6793 Revolution per Minute <-- Angular Speed of Driving Member in Gear Pump

(Calculation completed in 00.020 seconds)

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Created by Sagar S Kulkarni

Dayananda Sagar College of Engineering (DSCE), Bengaluru

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National Institute of Technology (NIT), Tiruchirapalli

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< Gear Pumps Calculators

Theoretical Volumetric Displacement of External Gear Pump

LaTeX Go Theoretical Volumetric Displacement in Gear Pump = pi/4*Width of Rotor*(Outer Diameter of Gear Teeth^2-Inner Diameter of Gear Teeth^2)

Theoretical Discharge of External Gear Pump

LaTeX Go Theoretical Discharge of Pump in Gear Pump = Theoretical Volumetric Displacement in Gear Pump*Angular Speed of Driving Member in Gear Pump

Volumetric Efficiency of Gear Pumps

LaTeX Go Volumetric Efficiency of Pump = Actual Discharge of Pump for Gear Pump/Theoretical Discharge of Pump in Gear Pump*100

Pump Slippage

LaTeX Go Pump Slippage = Theoretical Discharge of Pump in Gear Pump-Actual Discharge of Pump for Gear Pump

Angular Speed given Theoretical Discharge and Volumetric Displacement Formula

LaTeX Go

Angular Speed of Driving Member in Gear Pump = Theoretical Discharge of Pump in Gear Pump/Theoretical Volumetric Displacement in Gear Pump
n₁ = Q_gp/V_gp

What is theoretical discharge?

Theoretical discharge, also called as flow capacity of a pump is the volume of liquid discharged per unit time.

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

Angular Speed given Theoretical Discharge and Volumetric Displacement calculator uses Angular Speed of Driving Member in Gear Pump = Theoretical Discharge of Pump in Gear Pump/Theoretical Volumetric Displacement in Gear Pump to calculate the Angular Speed of Driving Member in Gear Pump, Angular Speed given Theoretical Discharge and Volumetric Displacement formula is defined as a measure of the rotational speed of a hydraulic pump, which is crucial in determining the pump's performance and efficiency in various industrial applications. Angular Speed of Driving Member in Gear Pump is denoted by n₁ symbol.

How to calculate Angular Speed given Theoretical Discharge and Volumetric Displacement using this online calculator? To use this online calculator 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. Here is how the Angular Speed given Theoretical Discharge and Volumetric Displacement calculation can be explained with given input values -> 2470.93 = 0.843/0.031.

FAQ

What is Angular Speed given Theoretical Discharge and Volumetric Displacement?

Angular Speed given Theoretical Discharge and Volumetric Displacement formula is defined as a measure of the rotational speed of a hydraulic pump, which is crucial in determining the pump's performance and efficiency in various industrial applications and is represented as n₁ = Q_gp/V_gp or Angular Speed of Driving Member in Gear Pump = Theoretical Discharge of Pump in Gear Pump/Theoretical Volumetric Displacement in Gear Pump. Theoretical Discharge of Pump in Gear Pump is the volume of liquid pumped out in unit time & Theoretical volumetric displacement in Gear Pump is the amount of liquid displaced per revolution.

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

Angular Speed given Theoretical Discharge and Volumetric Displacement formula is defined as a measure of the rotational speed of a hydraulic pump, which is crucial in determining the pump's performance and efficiency in various industrial applications is calculated using Angular Speed of Driving Member in Gear Pump = Theoretical Discharge of Pump in Gear Pump/Theoretical Volumetric Displacement in Gear Pump. To calculate Angular Speed given Theoretical Discharge and Volumetric Displacement, you need Theoretical Discharge of Pump in Gear Pump (Q_gp) & Theoretical Volumetric Displacement in Gear Pump (V_gp). With our tool, you need to enter the respective value for Theoretical Discharge of Pump in Gear Pump & Theoretical Volumetric Displacement in Gear Pump and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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