Width of Rotor given Volumetric Displacement Calculator

✖Theoretical volumetric displacement in Gear Pump is the amount of liquid displaced per revolution.ⓘ Theoretical Volumetric Displacement in Gear Pump [V_gp]			+10% -10%
✖Outer Diameter of Gear Teeth is the diameter of a circle around the outer surface, or tops of the gear teeth.ⓘ Outer Diameter of Gear Teeth [D_o]			+10% -10%
✖Inner diameter of gear teeth is the diameter of the circle passing along the base of the teeth of a gear.ⓘ Inner Diameter of Gear Teeth [D_i]			+10% -10%

✖Width of Rotor is the width of the rotor of a pump.ⓘ Width of Rotor given Volumetric Displacement [w]

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Formula

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Width of Rotor given Volumetric Displacement

Formula

`"w" = (4*"V"_{"gp"})/(pi*("D"_{"o"}^2-"D"_{"i"}^2))`

Example

`"0.029927m"=(4*"0.031m³/1")/(pi*(("1.15m")^2-("0.06m")^2))`

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Width of Rotor given Volumetric Displacement Solution

STEP 0: Pre-Calculation Summary

Formula Used

Width of Rotor = (4*Theoretical Volumetric Displacement in Gear Pump)/(pi*(Outer Diameter of Gear Teeth^2-Inner Diameter of Gear Teeth^2))
w = (4*V_gp)/(pi*(D_o^2-D_i^2))
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Width of Rotor - (Measured in Meter) - Width of Rotor is the width of the rotor of a pump.
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.
Outer Diameter of Gear Teeth - (Measured in Meter) - Outer Diameter of Gear Teeth is the diameter of a circle around the outer surface, or tops of the gear teeth.
Inner Diameter of Gear Teeth - (Measured in Meter) - Inner diameter of gear teeth is the diameter of the circle passing along the base of the teeth of a gear.

STEP 1: Convert Input(s) to Base Unit

Theoretical Volumetric Displacement in Gear Pump: 0.031 Cubic Meter Per Revolution --> 0.031 Cubic Meter Per Revolution No Conversion Required
Outer Diameter of Gear Teeth: 1.15 Meter --> 1.15 Meter No Conversion Required
Inner Diameter of Gear Teeth: 0.06 Meter --> 0.06 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

w = (4*V_gp)/(pi*(D_o^2-D_i^2)) --> (4*0.031)/(pi*(1.15^2-0.06^2))

Evaluating ... ...

w = 0.0299267767736675

STEP 3: Convert Result to Output's Unit

0.0299267767736675 Meter --> No Conversion Required

FINAL ANSWER

0.0299267767736675 ≈ 0.029927 Meter <-- Width of Rotor

(Calculation completed in 00.020 seconds)

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< 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

Width of Rotor given Volumetric Displacement Formula

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

What is theoretical volumetric displacement?

Volumetric displacement or the theoretical volumetric displacement of a positive displacement pump is the amount of liquid pumped in one revolution.

How to Calculate Width of Rotor given Volumetric Displacement?

Width of Rotor given Volumetric Displacement calculator 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 calculate the Width of Rotor, Width of Rotor given Volumetric Displacement refers to the dimension of the rotor in the direction perpendicular to its rotational axis. It determines the volume of fluid that can be trapped or displaced by the rotor during each revolution. Width of Rotor is denoted by w symbol.

How to calculate Width of Rotor given Volumetric Displacement using this online calculator? To use this online calculator 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. Here is how the Width of Rotor given Volumetric Displacement calculation can be explained with given input values -> 0.029927 = (4*0.031)/(pi*(1.15^2-0.06^2)).

FAQ

What is Width of Rotor given Volumetric Displacement?

Width of Rotor given Volumetric Displacement refers to the dimension of the rotor in the direction perpendicular to its rotational axis. It determines the volume of fluid that can be trapped or displaced by the rotor during each revolution and is represented as w = (4*V_gp)/(pi*(D_o^2-D_i^2)) or 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 in Gear Pump is the amount of liquid displaced per revolution, Outer Diameter of Gear Teeth is the diameter of a circle around the outer surface, or tops of the gear teeth & Inner diameter of gear teeth is the diameter of the circle passing along the base of the teeth of a gear.

How to calculate Width of Rotor given Volumetric Displacement?

Width of Rotor given Volumetric Displacement refers to the dimension of the rotor in the direction perpendicular to its rotational axis. It determines the volume of fluid that can be trapped or displaced by the rotor during each revolution is calculated using Width of Rotor = (4*Theoretical Volumetric Displacement in Gear Pump)/(pi*(Outer Diameter of Gear Teeth^2-Inner Diameter of Gear Teeth^2)). To calculate Width of Rotor given Volumetric Displacement, you need Theoretical Volumetric Displacement in Gear Pump (V_gp), Outer Diameter of Gear Teeth (D_o) & Inner Diameter of Gear Teeth (D_i). With our tool, you need to enter the respective value for Theoretical Volumetric Displacement in Gear Pump, Outer Diameter of Gear Teeth & Inner Diameter of Gear Teeth 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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