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## Credits

Dayananda Sagar College of Engineering (DSCE), Bengaluru
Sagar S Kulkarni has created this Calculator and 200+ more calculators!
Institute of Aeronautical Engineering (IARE), Hyderabad
Chilvera Bhanu Teja has verified this Calculator and 200+ more calculators!

## Theoretical discharge Solution

STEP 0: Pre-Calculation Summary
Formula Used
theoretical_discharge_of_pump = Theoretical volumetric displacement*Angular speed of the driving member in rpm
Qth = VD*N1
This formula uses 2 Variables
Variables Used
Theoretical volumetric displacement - Theoretical volumetric displacement is the amount of liquid displaced per revolution (Measured in Cubic Meter Per Revolution)
Angular speed of the driving member in rpm - Angular speed of the driving member in rpm (Measured in Revolution per Minute)
STEP 1: Convert Input(s) to Base Unit
Theoretical volumetric displacement: 1 Cubic Meter Per Revolution --> 1 Cubic Meter Per Revolution No Conversion Required
Angular speed of the driving member in rpm: 60 Revolution per Minute --> 1 Hertz (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Qth = VD*N1 --> 1*1
Evaluating ... ...
Qth = 1
STEP 3: Convert Result to Output's Unit
1 Meter³ per Second -->60 Cubic Meter per Minute (Check conversion here)
60 Cubic Meter per Minute <-- Theoretical discharge of a pump
(Calculation completed in 00.016 seconds)

## < 11 Other formulas that you can solve using the same Inputs

Theoretical discharge of a vane pump given diameter of camring and rotor
theoretical_discharge_of_pump = (pi/2)*Eccentricity *Width of rotor*(Diameter of cam ring+Diameter of rotor)*Angular speed of the driving member in rpm Go
Theoretical discharge given outer and inner gear diameter
theoretical_discharge_of_pump = (pi/4)*(Outer diameter of the gear teeth^2-Inner diameter of gear teeth^2)*(Angular speed of the driving member in rpm/60) Go
Width of the rotor given volumetric displacement
width_of_rotor = (Theoretical volumetric displacement*4)/(pi*(Outer diameter of the gear teeth^2-Inner diameter of gear teeth^2)) Go
Holding or braking or fixing torque on the fixed member
braking_torque = Input torque on the driving member*((Angular speed of the driving member in rpm/Angular speed of the driven member in rpm)-1) Go
Output torque or resisting or load torque on the driven member
output_torque = -(Input torque on the driving member)*(Angular speed of the driving member in rpm/Angular speed of the driven member in rpm) Go
Theoretical power of piston pump
theoretical_power_delivered = (2*pi*Angular speed of the driving member in rpm*Theoretical torque)/60 Go
Theoretical discharge of an external gear pump given volumetric displacement
theoretical_discharge_of_pump = Theoretical volumetric displacement*(Angular speed of the driving member in rpm/60) Go
Actual torque developed
actual_torque = (Input Power*60)/(2*pi*Angular speed of the driving member in rpm) Go
Theoretical discharge of a vane pump given volumetric displacement
theoretical_discharge_of_pump = Theoretical volumetric displacement*Angular speed of the driving member in rpm Go
Theoretical torque developed
theoretical_torque = (Pressure*Theoretical volumetric displacement*60)/(2*pi) Go
Angular speed given theoretical discharge and volumetric displacement
angular_speed_driving_rpm = Theoretical discharge of a pump/Theoretical volumetric displacement Go

## < 6 Other formulas that calculate the same Output

Theoretical discharge of a vane pump given diameter of camring and rotor
theoretical_discharge_of_pump = (pi/2)*Eccentricity *Width of rotor*(Diameter of cam ring+Diameter of rotor)*Angular speed of the driving member in rpm Go
Theoretical discharge given outer and inner gear diameter
theoretical_discharge_of_pump = (pi/4)*(Outer diameter of the gear teeth^2-Inner diameter of gear teeth^2)*(Angular speed of the driving member in rpm/60) Go
Theoretical discharge of an external gear pump given volumetric displacement
theoretical_discharge_of_pump = Theoretical volumetric displacement*(Angular speed of the driving member in rpm/60) Go
Theoretical discharge of a vane pump given volumetric displacement
theoretical_discharge_of_pump = Theoretical volumetric displacement*Angular speed of the driving member in rpm Go
Theoretical discharge given volumetric efficiency(%) and actual discharge
theoretical_discharge_of_pump = (Actual discharge of a pump/Volumetric efficiency of a pump)*100 Go
Theoretical discharge given pump slippage
theoretical_discharge_of_pump = Pump slippage+Actual discharge of a pump Go

### Theoretical discharge Formula

theoretical_discharge_of_pump = Theoretical volumetric displacement*Angular speed of the driving member in rpm
Qth = VD*N1

## What are the two major types of piston pumps?

The two major types of piston pumps are: 1. Axial piston pumps and 2. Radial piston pumps. This classification is based on their orientation.

## How to Calculate Theoretical discharge?

Theoretical discharge calculator uses theoretical_discharge_of_pump = Theoretical volumetric displacement*Angular speed of the driving member in rpm to calculate the Theoretical discharge of a pump, The Theoretical discharge formula is defined as the product of theoretical volumetric displacement and angular speed(rpm). Theoretical discharge of a pump and is denoted by Qth symbol.

How to calculate Theoretical discharge using this online calculator? To use this online calculator for Theoretical discharge, enter Theoretical volumetric displacement (VD) and Angular speed of the driving member in rpm (N1) and hit the calculate button. Here is how the Theoretical discharge calculation can be explained with given input values -> 60 = 1*1.

### FAQ

What is Theoretical discharge?
The Theoretical discharge formula is defined as the product of theoretical volumetric displacement and angular speed(rpm) and is represented as Qth = VD*N1 or theoretical_discharge_of_pump = Theoretical volumetric displacement*Angular speed of the driving member in rpm. Theoretical volumetric displacement is the amount of liquid displaced per revolution and Angular speed of the driving member in rpm.
How to calculate Theoretical discharge?
The Theoretical discharge formula is defined as the product of theoretical volumetric displacement and angular speed(rpm) is calculated using theoretical_discharge_of_pump = Theoretical volumetric displacement*Angular speed of the driving member in rpm. To calculate Theoretical discharge, you need Theoretical volumetric displacement (VD) and Angular speed of the driving member in rpm (N1). With our tool, you need to enter the respective value for Theoretical volumetric displacement and Angular speed of the driving member in rpm and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Theoretical discharge of a pump?
In this formula, Theoretical discharge of a pump uses Theoretical volumetric displacement and Angular speed of the driving member in rpm. We can use 6 other way(s) to calculate the same, which is/are as follows -
• theoretical_discharge_of_pump = Theoretical volumetric displacement*(Angular speed of the driving member in rpm/60)
• theoretical_discharge_of_pump = Theoretical volumetric displacement*Angular speed of the driving member in rpm
• theoretical_discharge_of_pump = (Actual discharge of a pump/Volumetric efficiency of a pump)*100
• theoretical_discharge_of_pump = Pump slippage+Actual discharge of a pump
• theoretical_discharge_of_pump = (pi/4)*(Outer diameter of the gear teeth^2-Inner diameter of gear teeth^2)*(Angular speed of the driving member in rpm/60)
• theoretical_discharge_of_pump = (pi/2)*Eccentricity *Width of rotor*(Diameter of cam ring+Diameter of rotor)*Angular speed of the driving member in rpm
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