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]

⎘ Copy

👎

Formula

✖

Angular Speed given Theoretical Discharge and Volumetric Displacement

Formula

`"n"_{"1"} = "Q"_{"gp"}/"V"_{"gp"}`

Example

`"259.6793rev/min"="0.843m³/s"/"0.031m³/1"`

Calculator

LaTeX

Reset

👍

Download Fluid Mechanics Formula PDF PDF Image

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)

You are here -

Home » Physics » Fluid Mechanics » Fluid Machinery » Hydraulic Pumps » Gear Pumps » Angular Speed given Theoretical Discharge and Volumetric Displacement

Credits

Created by Sagar S Kulkarni

Dayananda Sagar College of Engineering (DSCE), Bengaluru

Sagar S Kulkarni has created this Calculator and 200+ more calculators!

Verified by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

Vaibhav Malani has verified this Calculator and 200+ more calculators!

< 12 Gear Pumps Calculators

Theoretical Discharge given Outer and Inner Gear Diameter

Go Theoretical Discharge of Pump in Gear Pump = pi/4*(Outer Diameter of Gear Teeth^2-Inner Diameter of Gear Teeth^2)*Angular Speed of Driving Member in Gear Pump

Width of Rotor given Volumetric Displacement

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

Theoretical Volumetric Displacement of External Gear Pump

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

Pump Slippage Percentage

Go Pump Slippage Percentage = ((Theoretical Discharge of Pump in Gear Pump-Actual Discharge of Pump for Gear Pump)/Theoretical Discharge of Pump in Gear Pump)*100

Angular Speed given Theoretical Discharge and Volumetric Displacement

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

Theoretical Discharge of External Gear Pump

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

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

Actual Discharge given Volumetric Efficiency and Theoretical Discharge

Go Actual Discharge of Pump for Gear Pump = (Volumetric Efficiency of Pump*Theoretical Discharge of Pump in Gear Pump)

Theoretical Discharge given Volumetric Efficiency and Actual Discharge

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

Theoretical Discharge given Pump Slippage

Go Theoretical Discharge of Pump in Gear Pump = Pump Slippage+Actual Discharge of Pump for Gear Pump

Actual Discharge given Pump Slippage

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

Pump Slippage

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

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 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 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 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 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 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 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.

Home

FREE PDFs

🔍 Search