Theoretical Power Solution

STEP 0: Pre-Calculation Summary
Formula Used
Theoretical Power = (2*pi*Angular Speed of Driving Member*Theoretical Torque)/60
Pth = (2*pi*N*Ttheoretical)/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 refers to the calculated or predicted power output of a system or device based on ideal conditions, theoretical models, or theoretical calculations.
Angular Speed of Driving Member - (Measured in Revolution per Minute) - Angular Speed of Driving Member in RPM is the rate of change of angular position of the driving or the input member.
Theoretical Torque - (Measured in Newton Meter) - Theoretical torque is the theoretical value of the torque developed by the pump.
STEP 1: Convert Input(s) to Base Unit
Angular Speed of Driving Member: 1400 Revolution per Minute --> 1400 Revolution per Minute No Conversion Required
Theoretical Torque: 400 Newton Meter --> 400 Newton Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Pth = (2*pi*N*Ttheoretical)/60 --> (2*pi*1400*400)/60
Evaluating ... ...
Pth = 58643.0628670095
STEP 3: Convert Result to Output's Unit
58643.0628670095 Watt --> No Conversion Required
FINAL ANSWER
58643.0628670095 58643.06 Watt <-- Theoretical Power
(Calculation completed in 00.004 seconds)

Credits

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
Vaibhav Malani has verified this Calculator and 200+ more calculators!

12 Hydraulic Motors Calculators

Theoretical Power given Volumetric Displacement
Go Theoretical Power = (2*pi*Angular Speed of Driving Member*Theoretical Volumetric Displacement*Pressure of Liquid Entering Motor)/60
Theoretical Power
Go Theoretical Power = (2*pi*Angular Speed of Driving Member*Theoretical Torque)/60
Actual Torque Delivered
Go Actual Torque = Actual Power Delivered/(2*pi*Angular Speed)
Theoretical Volumetric Displacement given Torque and Pressure
Go Theoretical Volumetric Displacement = Theoretical Torque/Pressure of Liquid Entering Motor
Pressure of Liquid Entering Motor
Go Pressure of Liquid Entering Motor = Theoretical Torque/Theoretical Volumetric Displacement
Theoretical Torque Developed
Go Theoretical Torque = Theoretical Volumetric Displacement*Pressure of Liquid Entering Motor
Overall Efficiency Percentage
Go Overall Efficiency = (Volumetric Efficiency of Motor*Mechanical Efficiency)/100
Volumetric Efficiency of Motor given Theoretical and Actual Discharge
Go Volumetric Efficiency of Motor = Theoretical Discharge/Actual Discharge*100
Theoretical Discharge for Hydraulic Motors
Go Theoretical Discharge = Theoretical Volumetric Displacement*Angular Speed
Theoretical Discharge given Volumetric Efficiency
Go Theoretical Discharge = Volumetric Efficiency/100*Actual Discharge
Actual Discharge given Volumetric Efficiency
Go Actual Discharge = Theoretical Discharge/Volumetric Efficiency*100
Mechanical Efficiency
Go Mechanical Efficiency = Actual Torque/Theoretical Torque*100

Theoretical Power Formula

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

What is maximum motor speed?

Maximum motor speed is the speed at a specific inlet pressure that the motor can sustain for a limited time without damage.

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 refers to the calculated or predicted power output of a system or device based on ideal conditions, theoretical models, or mathematical calculations. It represents the maximum power that could be achieved by the system or device without considering practical limitations, losses, or inefficiencies. Theoretical Power is denoted by Pth 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 (Ttheoretical) and hit the calculate button. Here is how the Theoretical Power calculation can be explained with given input values -> 58643.06 = (2*pi*146.607657160058*400)/60.

FAQ

What is Theoretical Power?
Theoretical power refers to the calculated or predicted power output of a system or device based on ideal conditions, theoretical models, or mathematical calculations. It represents the maximum power that could be achieved by the system or device without considering practical limitations, losses, or inefficiencies and is represented as Pth = (2*pi*N*Ttheoretical)/60 or Theoretical Power = (2*pi*Angular Speed of Driving Member*Theoretical Torque)/60. Angular Speed of Driving Member in RPM is the rate of change of angular position of the driving or the input member & Theoretical torque is the theoretical value of the torque developed by the pump.
How to calculate Theoretical Power?
Theoretical power refers to the calculated or predicted power output of a system or device based on ideal conditions, theoretical models, or mathematical calculations. It represents the maximum power that could be achieved by the system or device without considering practical limitations, 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 (Ttheoretical). 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
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!