Theoretical Power 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 Torque is the maximum rotational force that a hydraulic motor can produce, typically measured in units of Newton-meters or foot-pounds. the pump.ⓘ Theoretical Torque [T_theoretical]			+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 [P_th]

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Theoretical Power Solution

STEP 0: Pre-Calculation Summary

Formula Used

Theoretical Power = (2*pi*Angular Speed of Driving Member*Theoretical Torque)/60
P_th = (2*pi*N*T_theoretical)/60
This formula uses 1 Constants, 3 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 Torque - (Measured in Newton Meter) - 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.

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 Torque: 16 Newton Meter --> 16 Newton Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_th = (2*pi*N*T_theoretical)/60 --> (2*pi*1399.9998*16)/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 00.007 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 Formula

LaTeX Go

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

What is Theoretical Power?

Theoretical power refers to the calculated or ideal amount of power that a system or device can produce or transmit under perfect conditions, without any losses due to inefficiencies like friction, heat, or turbulence. It is typically determined using formulas based on the input parameters, such as torque and rotational speed for motors or engines. Theoretical power provides a baseline for evaluating actual performance, allowing engineers and designers to assess how well a system operates compared to its potential. Understanding theoretical power is essential for optimizing designs, ensuring adequate power supply, and improving efficiency in various applications.

How to Calculate Theoretical Power?

Theoretical Power calculator uses Theoretical Power = (2*pi*Angular Speed of Driving Member*Theoretical Torque)/60 to calculate 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 calculate Theoretical Power using this online calculator? To use this online calculator for Theoretical Power, enter Angular Speed of Driving Member (N) & Theoretical Torque (T_theoretical) and hit the calculate button. Here is how the Theoretical Power calculation can be explained with given input values -> 2345.722 = (2*pi*146.607636216107*16)/60.

FAQ

What is 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 and is represented as P_th = (2*pi*N*T_theoretical)/60 or Theoretical Power = (2*pi*Angular Speed of Driving Member*Theoretical Torque)/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 Torque is the maximum rotational force that a hydraulic motor can produce, typically measured in units of Newton-meters or foot-pounds. the pump.

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

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