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Theoretical Power given Volumetric Displacement Formula

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Theoretical Power is the maximum power that a hydraulic motor can produce under ideal conditions, considering the motor's design and operating parameters. Check FAQs

P th = \frac{2 \cdot π \cdot N \cdot V D \cdot p}{60}

P_th - Theoretical Power?N - Angular Speed of Driving Member?V_D - Theoretical Volumetric Displacement?p - Pressure of Liquid Entering Motor?π - Archimedes' constant?

Theoretical Power given Volumetric Displacement Example

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Here is how the Theoretical Power given Volumetric Displacement equation looks like with Values.

Here is how the Theoretical Power given Volumetric Displacement equation looks like with Units.

Here is how the Theoretical Power given Volumetric Displacement equation looks like.

2345.7222 = \frac{2 \cdot 3.1416 \cdot 23.3333 \cdot 0.02 \cdot 800}{60}

2345.7222W = \frac{2 \cdot 3.1416 \cdot 23.3333rev/s \cdot 0.02m³/1 \cdot 800Pa}{60}

2345.7222 = \frac{2 \cdot 3.1416 \cdot 23.3333 \cdot 0.02 \cdot 800}{60}

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Theoretical Power given Volumetric Displacement Solution

Follow our step by step solution on how to calculate Theoretical Power given Volumetric Displacement?

FIRST Step Consider the formula

P th = \frac{2 \cdot π \cdot N \cdot V D \cdot p}{60}

Next Step Substitute values of Variables

∴

P th = \frac{2 \cdot π \cdot 23.3333rev/s \cdot 0.02m³/1 \cdot 800Pa}{60}

Next Step Substitute values of Constants

∴

P th = \frac{2 \cdot 3.1416 \cdot 23.3333rev/s \cdot 0.02m³/1 \cdot 800Pa}{60}

Next Step Convert Units

∴

P th = \frac{2 \cdot 3.1416 \cdot 1399.9998rev/min \cdot 0.02m³/1 \cdot 800Pa}{60}

Next Step Prepare to Evaluate

∴

P th = \frac{2 \cdot 3.1416 \cdot 1399.9998 \cdot 0.02 \cdot 800}{60}

Next Step Evaluate

∴

P th = 2345.72217957716W

LAST Step Rounding Answer

∴

P th = 2345.7222W

Theoretical Power given Volumetric Displacement Formula Elements

Variables

Constants

Theoretical Power

Theoretical Power is the maximum power that a hydraulic motor can produce under ideal conditions, considering the motor's design and operating parameters.

Symbol: P_th

Measurement: PowerUnit: W

Note: Value should be greater than 0.

Formulas to find Theoretical Power

Angular Speed of Driving Member

Angular Speed of Driving Member is the rotational speed of the driving member in a hydraulic motor, typically measured in revolutions per minute (RPM).

Symbol: N

Measurement: Angular VelocityUnit: rev/s

Note: Value should be greater than 0.

Formulas to find Angular Speed of Driving Member

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

Pressure of Liquid Entering Motor

Pressure of Liquid Entering Motor is the force per unit area exerted by the liquid on the motor, affecting its performance and efficiency.

Symbol: p

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Pressure of Liquid Entering Motor

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Theoretical Power

Go Theoretical Power

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

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 Discharge for Hydraulic Motors

Q th = V D \cdot Ω

How to Evaluate Theoretical Power given Volumetric Displacement?

Theoretical Power given Volumetric Displacement evaluator uses Theoretical Power = (2*pi*Angular Speed of Driving Member*Theoretical Volumetric Displacement*Pressure of Liquid Entering Motor)/60 to evaluate the Theoretical Power, Theoretical Power given Volumetric Displacement formula is defined as the maximum power that can be achieved by a hydraulic actuator or motor, considering the volumetric displacement of the pump or motor, and is a critical parameter in the design and operation of hydraulic systems. Theoretical Power is denoted by P_th symbol.

How to evaluate Theoretical Power given Volumetric Displacement using this online evaluator? To use this online evaluator for Theoretical Power given Volumetric Displacement, enter Angular Speed of Driving Member (N), Theoretical Volumetric Displacement (V_D) & Pressure of Liquid Entering Motor (p) and hit the calculate button.

FAQs on Theoretical Power given Volumetric Displacement

What is the formula to find Theoretical Power given Volumetric Displacement?

The formula of Theoretical Power given Volumetric Displacement is expressed as Theoretical Power = (2*pi*Angular Speed of Driving Member*Theoretical Volumetric Displacement*Pressure of Liquid Entering Motor)/60. Here is an example- 2345.722 = (2*pi*146.607636216107*0.02*800)/60.

How to calculate Theoretical Power given Volumetric Displacement?

With Angular Speed of Driving Member (N), Theoretical Volumetric Displacement (V_D) & Pressure of Liquid Entering Motor (p) we can find Theoretical Power given Volumetric Displacement using the formula - Theoretical Power = (2*pi*Angular Speed of Driving Member*Theoretical Volumetric Displacement*Pressure of Liquid Entering Motor)/60. This formula also uses Archimedes' constant .

What are the other ways to Calculate Theoretical Power?

Here are the different ways to Calculate Theoretical Power-

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

Can the Theoretical Power given Volumetric Displacement be negative?

No, the Theoretical Power given Volumetric Displacement, measured in Power cannot be negative.

Which unit is used to measure Theoretical Power given Volumetric Displacement?

Theoretical Power given Volumetric Displacement is usually measured using the Watt[W] for Power. Kilowatt[W], Milliwatt[W], Microwatt[W] are the few other units in which Theoretical Power given Volumetric Displacement can be measured.

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