Theoretical Discharge for Hydraulic Motors Calculator

✖Theoretical Volumetric Displacement is the maximum volume of fluid displaced per unit time by a hydraulic motor under ideal conditions.ⓘ Theoretical Volumetric Displacement [V_D]			+10% -10%
✖Angular Speed is the measure of how fast the hydraulic motor's shaft rotates, typically measured in revolutions per minute (RPM) or radians per second.ⓘ Angular Speed [Ω]			+10% -10%

✖Theoretical Discharge is the maximum flow rate of a hydraulic motor, representing the ideal amount of fluid that can be pumped or circulated.ⓘ Theoretical Discharge for Hydraulic Motors [Q_th]

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Theoretical Discharge for Hydraulic Motors Solution

STEP 0: Pre-Calculation Summary

Formula Used

Theoretical Discharge = Theoretical Volumetric Displacement*Angular Speed
Q_th = V_D*Ω
This formula uses 3 Variables

Variables Used

Theoretical Discharge - (Measured in Cubic Meter per Second) - Theoretical Discharge is the maximum flow rate of a hydraulic motor, representing the ideal amount of fluid that can be pumped or circulated.
Theoretical Volumetric Displacement - (Measured in Cubic Meter Per Revolution) - Theoretical Volumetric Displacement is the maximum volume of fluid displaced per unit time by a hydraulic motor under ideal conditions.
Angular Speed - (Measured in Radian per Second) - Angular Speed is the measure of how fast the hydraulic motor's shaft rotates, typically measured in revolutions per minute (RPM) or radians per second.

STEP 1: Convert Input(s) to Base Unit

Theoretical Volumetric Displacement: 0.02 Cubic Meter Per Revolution --> 0.02 Cubic Meter Per Revolution No Conversion Required
Angular Speed: 0.31831 Revolution per Second --> 2.00000071502649 Radian per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q_th = V_D*Ω --> 0.02*2.00000071502649

Evaluating ... ...

Q_th = 0.0400000143005298

STEP 3: Convert Result to Output's Unit

0.0400000143005298 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

0.0400000143005298 ≈ 0.04 Cubic Meter per Second <-- Theoretical Discharge

(Calculation completed in 00.004 seconds)

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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

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< Hydraulic Motors Calculators

Theoretical Power

LaTeX Go Theoretical Power = (2*pi*Angular Speed of Driving Member*Theoretical Torque)/60

Theoretical Volumetric Displacement given Torque and Pressure

LaTeX Go Theoretical Volumetric Displacement = Theoretical Torque/Pressure of Liquid Entering Motor

Pressure of Liquid Entering Motor

LaTeX Go Pressure of Liquid Entering Motor = Theoretical Torque/Theoretical Volumetric Displacement

Theoretical Torque Developed

LaTeX Go Theoretical Torque = Theoretical Volumetric Displacement*Pressure of Liquid Entering Motor

Theoretical Discharge for Hydraulic Motors Formula

LaTeX Go

Theoretical Discharge = Theoretical Volumetric Displacement*Angular Speed
Q_th = V_D*Ω

What is Hydraulic Motors?

Hydraulic motors are mechanical devices that convert hydraulic energy into rotational motion. They operate using pressurized hydraulic fluid, which flows into the motor and causes its internal components to rotate. Hydraulic motors are widely used in various applications, such as construction equipment, agricultural machinery, and industrial machinery, due to their ability to provide high torque and precise control. They come in different types, including gear, vane, and piston motors, each designed for specific performance characteristics and applications. Hydraulic motors are valued for their efficiency, compact size, and ability to generate significant power in demanding environments.

How to Calculate Theoretical Discharge for Hydraulic Motors?

Theoretical Discharge for Hydraulic Motors calculator uses Theoretical Discharge = Theoretical Volumetric Displacement*Angular Speed to calculate the Theoretical Discharge, Theoretical Discharge for Hydraulic Motors formula is defined as the maximum possible flow rate of a hydraulic motor, representing the ideal flow rate that a motor can achieve under perfect conditions, without considering losses or inefficiencies. Theoretical Discharge is denoted by Q_th symbol.

How to calculate Theoretical Discharge for Hydraulic Motors using this online calculator? To use this online calculator for Theoretical Discharge for Hydraulic Motors, enter Theoretical Volumetric Displacement (V_D) & Angular Speed (Ω) and hit the calculate button. Here is how the Theoretical Discharge for Hydraulic Motors calculation can be explained with given input values -> 0.039999 = 0.02*2.00000071502649.

FAQ

What is Theoretical Discharge for Hydraulic Motors?

Theoretical Discharge for Hydraulic Motors formula is defined as the maximum possible flow rate of a hydraulic motor, representing the ideal flow rate that a motor can achieve under perfect conditions, without considering losses or inefficiencies and is represented as Q_th = V_D*Ω or Theoretical Discharge = Theoretical Volumetric Displacement*Angular Speed. Theoretical Volumetric Displacement is the maximum volume of fluid displaced per unit time by a hydraulic motor under ideal conditions & Angular Speed is the measure of how fast the hydraulic motor's shaft rotates, typically measured in revolutions per minute (RPM) or radians per second.

How to calculate Theoretical Discharge for Hydraulic Motors?

Theoretical Discharge for Hydraulic Motors formula is defined as the maximum possible flow rate of a hydraulic motor, representing the ideal flow rate that a motor can achieve under perfect conditions, without considering losses or inefficiencies is calculated using Theoretical Discharge = Theoretical Volumetric Displacement*Angular Speed. To calculate Theoretical Discharge for Hydraulic Motors, you need Theoretical Volumetric Displacement (V_D) & Angular Speed (Ω). With our tool, you need to enter the respective value for Theoretical Volumetric Displacement & Angular Speed 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?

In this formula, Theoretical Discharge uses Theoretical Volumetric Displacement & Angular Speed. We can use 1 other way(s) to calculate the same, which is/are as follows -

Theoretical Discharge = Volumetric Efficiency/100*Actual Discharge

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