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Theoretical Power Formula

GoTheoretical 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 T theoretical}{60}

P_th - Theoretical Power?N - Angular Speed of Driving Member?T_theoretical - Theoretical Torque?π - Archimedes' constant?

Theoretical Power Example

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

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

Here is how the Theoretical Power equation looks like.

2345.7222 = \frac{2 \cdot 3.1416 \cdot 23.3333 \cdot 16}{60}

2345.7222W = \frac{2 \cdot 3.1416 \cdot 23.3333rev/s \cdot 16N*m}{60}

2345.7222 = \frac{2 \cdot 3.1416 \cdot 23.3333 \cdot 16}{60}

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Theoretical Power Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P th = \frac{2 \cdot π \cdot 23.3333rev/s \cdot 16N*m}{60}

Next Step Substitute values of Constants

∴

P th = \frac{2 \cdot 3.1416 \cdot 23.3333rev/s \cdot 16N*m}{60}

Next Step Convert Units

∴

P th = \frac{2 \cdot 3.1416 \cdot 1399.9998rev/min \cdot 16N*m}{60}

Next Step Prepare to Evaluate

∴

P th = \frac{2 \cdot 3.1416 \cdot 1399.9998 \cdot 16}{60}

Next Step Evaluate

∴

P th = 2345.72217957716W

LAST Step Rounding Answer

∴

P th = 2345.7222W

Theoretical Power 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 Torque

Theoretical Torque is the maximum rotational force that a hydraulic motor can produce, typically measured in units of Newton-meters or foot-pounds. the pump.

Symbol: T_theoretical

Measurement: TorqueUnit: N*m

Note: Value can be positive or negative.

Formulas to find Theoretical Torque

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 given Volumetric Displacement

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

Theoretical Power evaluator uses Theoretical Power = (2*pi*Angular Speed of Driving Member*Theoretical Torque)/60 to evaluate the Theoretical Power, Theoretical Power formula is defined as the maximum power that can be achieved by a hydraulic actuator or motor, representing the ideal power output under perfect conditions, unaffected by losses or inefficiencies. Theoretical Power is denoted by P_th symbol.

How to evaluate Theoretical Power using this online evaluator? To use this online evaluator for Theoretical Power, enter Angular Speed of Driving Member (N) & Theoretical Torque (T_theoretical) and hit the calculate button.

FAQs on Theoretical Power

What is the formula to find Theoretical Power?

The formula of Theoretical Power is expressed as Theoretical Power = (2*pi*Angular Speed of Driving Member*Theoretical Torque)/60. Here is an example- 2345.722 = (2*pi*146.607636216107*16)/60.

How to calculate Theoretical Power?

With Angular Speed of Driving Member (N) & Theoretical Torque (T_theoretical) we can find Theoretical Power using the formula - Theoretical Power = (2*pi*Angular Speed of Driving Member*Theoretical Torque)/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 Volumetric Displacement*Pressure of Liquid Entering Motor)/60

Can the Theoretical Power be negative?

No, the Theoretical Power, measured in Power cannot be negative.

Which unit is used to measure Theoretical Power?

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

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