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Theoretical Discharge for Hydraulic Motors Formula

GoTheoretical Discharge given Volumetric Efficiency Formula

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Theoretical Discharge is the maximum flow rate of a hydraulic motor, representing the ideal amount of fluid that can be pumped or circulated. Check FAQs

Q th = V D \cdot Ω

Q_th - Theoretical Discharge?V_D - Theoretical Volumetric Displacement?Ω - Angular Speed?

Theoretical Discharge for Hydraulic Motors Example

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Here is how the Theoretical Discharge for Hydraulic Motors equation looks like with Values.

Here is how the Theoretical Discharge for Hydraulic Motors equation looks like with Units.

Here is how the Theoretical Discharge for Hydraulic Motors equation looks like.

0.04 = 0.02 \cdot 0.3183

0.04m³/s = 0.02m³/1 \cdot 0.3183rev/s

0.04 = 0.02 \cdot 0.3183

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Theoretical Discharge for Hydraulic Motors Solution

Follow our step by step solution on how to calculate Theoretical Discharge for Hydraulic Motors?

FIRST Step Consider the formula

Q th = V D \cdot Ω

Next Step Substitute values of Variables

∴

Q th = 0.02m³/1 \cdot 0.3183rev/s

Next Step Convert Units

∴

Q th = 0.02m³/1 \cdot 2rad/s

Next Step Prepare to Evaluate

∴

Q th = 0.02 \cdot 2

Next Step Evaluate

∴

Q th = 0.0400000143005298m³/s

LAST Step Rounding Answer

∴

Q th = 0.04m³/s

Theoretical Discharge for Hydraulic Motors Formula Elements

Variables

Theoretical Discharge

Theoretical Discharge is the maximum flow rate of a hydraulic motor, representing the ideal amount of fluid that can be pumped or circulated.

Symbol: Q_th

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Theoretical Discharge

Theoretical Volumetric Displacement

Theoretical Volumetric Displacement is the maximum volume of fluid displaced per unit time by a hydraulic motor under ideal conditions.

Symbol: V_D

Measurement: Volumetric DisplacementUnit: m³/1

Note: Value can be positive or negative.

Formulas to find Theoretical Volumetric Displacement

Angular Speed

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.

Symbol: Ω

Measurement: Angular VelocityUnit: rev/s

Note: Value can be positive or negative.

Formulas to find Angular Speed

Other Formulas to find Theoretical Discharge

Go Theoretical Discharge given Volumetric Efficiency

Q th = \frac{η v}{100} \cdot Q actual

Other formulas in Hydraulic Motors category

Go Theoretical Torque Developed

T theoretical = V D \cdot p

Go Theoretical Volumetric Displacement given Torque and Pressure

V D = \frac{T theoretical}{p}

Go Pressure of Liquid Entering Motor

p = \frac{T theoretical}{V D}

Go Theoretical Power

P th = \frac{2 \cdot π \cdot N \cdot T theoretical}{60}

How to Evaluate Theoretical Discharge for Hydraulic Motors?

Theoretical Discharge for Hydraulic Motors evaluator uses Theoretical Discharge = Theoretical Volumetric Displacement*Angular Speed to evaluate 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 evaluate Theoretical Discharge for Hydraulic Motors using this online evaluator? To use this online evaluator for Theoretical Discharge for Hydraulic Motors, enter Theoretical Volumetric Displacement (V_D) & Angular Speed (Ω) and hit the calculate button.

FAQs on Theoretical Discharge for Hydraulic Motors

What is the formula to find Theoretical Discharge for Hydraulic Motors?

The formula of Theoretical Discharge for Hydraulic Motors is expressed as Theoretical Discharge = Theoretical Volumetric Displacement*Angular Speed. Here is an example- 0.039999 = 0.02*2.00000071502649.

How to calculate Theoretical Discharge for Hydraulic Motors?

With Theoretical Volumetric Displacement (V_D) & Angular Speed (Ω) we can find Theoretical Discharge for Hydraulic Motors using the formula - Theoretical Discharge = Theoretical Volumetric Displacement*Angular Speed.

What are the other ways to Calculate Theoretical Discharge?

Here are the different ways to Calculate Theoretical Discharge-

Theoretical Discharge=Volumetric Efficiency/100*Actual Discharge

Can the Theoretical Discharge for Hydraulic Motors be negative?

No, the Theoretical Discharge for Hydraulic Motors, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Theoretical Discharge for Hydraulic Motors?

Theoretical Discharge for Hydraulic Motors is usually measured using the Cubic Meter per Second[m³/s] for Volumetric Flow Rate. Cubic Meter per Day[m³/s], Cubic Meter per Hour[m³/s], Cubic Meter per Minute[m³/s] are the few other units in which Theoretical Discharge for Hydraulic Motors can be measured.

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