Theoretical Power given Volumetric Displacement Calculator

✖Angular Speed of Driving Member is the rotational speed of the driving member in a hydraulic motor, typically measured in revolutions per minute (RPM).ⓘ Angular Speed of Driving Member [N]			+10% -10%
✖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%
✖Pressure of Liquid Entering Motor is the force per unit area exerted by the liquid on the motor, affecting its performance and efficiency.ⓘ Pressure of Liquid Entering Motor [p]			+10% -10%

✖Theoretical Power is the maximum power that a hydraulic motor can produce under ideal conditions, considering the motor's design and operating parameters.ⓘ Theoretical Power given Volumetric Displacement [P_th]

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Theoretical Power given Volumetric Displacement Solution

STEP 0: Pre-Calculation Summary

Formula Used

Theoretical Power = (2*pi*Angular Speed of Driving Member*Theoretical Volumetric Displacement*Pressure of Liquid Entering Motor)/60
P_th = (2*pi*N*V_D*p)/60
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Theoretical Power - (Measured in Watt) - Theoretical Power is the maximum power that a hydraulic motor can produce under ideal conditions, considering the motor's design and operating parameters.
Angular Speed of Driving Member - (Measured in Revolution per Minute) - Angular Speed of Driving Member is the rotational speed of the driving member in a hydraulic motor, typically measured in revolutions per minute (RPM).
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.
Pressure of Liquid Entering Motor - (Measured in Pascal) - Pressure of Liquid Entering Motor is the force per unit area exerted by the liquid on the motor, affecting its performance and efficiency.

STEP 1: Convert Input(s) to Base Unit

Angular Speed of Driving Member: 23.33333 Revolution per Second --> 1399.9998 Revolution per Minute (Check conversion here)
Theoretical Volumetric Displacement: 0.02 Cubic Meter Per Revolution --> 0.02 Cubic Meter Per Revolution No Conversion Required
Pressure of Liquid Entering Motor: 800 Pascal --> 800 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_th = (2*pi*N*V_D*p)/60 --> (2*pi*1399.9998*0.02*800)/60

Evaluating ... ...

P_th = 2345.72217957716

STEP 3: Convert Result to Output's Unit

2345.72217957716 Watt --> No Conversion Required

FINAL ANSWER

2345.72217957716 ≈ 2345.722 Watt <-- Theoretical Power

(Calculation completed in 00.020 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 Power given Volumetric Displacement Formula

LaTeX Go

Theoretical Power = (2*pi*Angular Speed of Driving Member*Theoretical Volumetric Displacement*Pressure of Liquid Entering Motor)/60
P_th = (2*pi*N*V_D*p)/60

What is Maximum Motor Speed?

Maximum motor speed is the highest rotational speed at which a motor can operate safely and effectively without risking damage or failure. Operating at this speed allows the motor to achieve its peak performance, delivering maximum power and efficiency. Factors influencing maximum motor speed include the motor's design, construction, materials, and the application for which it is intended. Exceeding the maximum motor speed can lead to overheating, excessive wear, and potential mechanical failure. Understanding the maximum motor speed is crucial for proper motor selection, ensuring reliable operation in various applications such as industrial machinery, pumps, and fans.

How to Calculate Theoretical Power given Volumetric Displacement?

Theoretical Power given Volumetric Displacement calculator uses Theoretical Power = (2*pi*Angular Speed of Driving Member*Theoretical Volumetric Displacement*Pressure of Liquid Entering Motor)/60 to calculate 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 calculate Theoretical Power given Volumetric Displacement using this online calculator? To use this online calculator 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. Here is how the Theoretical Power given Volumetric Displacement calculation can be explained with given input values -> 2345.722 = (2*pi*146.607636216107*0.02*800)/60.

FAQ

What is Theoretical Power given Volumetric Displacement?

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 and is represented as P_th = (2*pi*N*V_D*p)/60 or Theoretical Power = (2*pi*Angular Speed of Driving Member*Theoretical Volumetric Displacement*Pressure of Liquid Entering Motor)/60. Angular Speed of Driving Member is the rotational speed of the driving member in a hydraulic motor, typically measured in revolutions per minute (RPM), Theoretical Volumetric Displacement is the maximum volume of fluid displaced per unit time by a hydraulic motor under ideal conditions & Pressure of Liquid Entering Motor is the force per unit area exerted by the liquid on the motor, affecting its performance and efficiency.

How to calculate Theoretical Power given Volumetric Displacement?

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 is calculated using Theoretical Power = (2*pi*Angular Speed of Driving Member*Theoretical Volumetric Displacement*Pressure of Liquid Entering Motor)/60. To calculate Theoretical Power given Volumetric Displacement, you need Angular Speed of Driving Member (N), Theoretical Volumetric Displacement (V_D) & Pressure of Liquid Entering Motor (p). With our tool, you need to enter the respective value for Angular Speed of Driving Member, Theoretical Volumetric Displacement & Pressure of Liquid Entering Motor 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 Power?

In this formula, Theoretical Power uses Angular Speed of Driving Member, Theoretical Volumetric Displacement & Pressure of Liquid Entering Motor. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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