Theoretical Power given Volumetric Displacement Calculator

✖Angular Speed of Driving Member in RPM is the rate of change of angular position of the driving or the input member.ⓘ Angular Speed of Driving Member [N]			+10% -10%
✖Theoretical volumetric displacement is the amount of liquid displaced per revolution.ⓘ Theoretical Volumetric Displacement [V_D]			+10% -10%
✖Pressure of Liquid Entering Motor force per unit area exerted by a liquid as it enters a motor or a pump system.ⓘ Pressure of Liquid Entering Motor [p]			+10% -10%

✖Theoretical power refers to the calculated or predicted power output of a system or device based on ideal conditions, theoretical models, or theoretical calculations.ⓘ Theoretical Power given Volumetric Displacement [P_th]

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Formula

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Theoretical Power given Volumetric Displacement

Formula

`"P"_{"th"} = (2*pi*"N"*"V"_{"D"}*"p")/60`

Example

`"2345.723W"=(2*pi*"1400rev/min"*"0.02m³/1"*"800Pa")/60`

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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 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 Volumetric Displacement - (Measured in Cubic Meter Per Revolution) - Theoretical volumetric displacement is the amount of liquid displaced per revolution.
Pressure of Liquid Entering Motor - (Measured in Pascal) - Pressure of Liquid Entering Motor force per unit area exerted by a liquid as it enters a motor or a pump system.

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 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*1400*0.02*800)/60

Evaluating ... ...

P_th = 2345.72251468038

STEP 3: Convert Result to Output's Unit

2345.72251468038 Watt --> No Conversion Required

FINAL ANSWER

2345.72251468038 ≈ 2345.723 Watt <-- Theoretical Power

(Calculation completed in 00.004 seconds)

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Home » Physics » Fluid Mechanics » Fluid Machinery » Hydraulic Actuators and Motors » Hydraulic Motors » Theoretical Power given Volumetric Displacement

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Created by Sagar S Kulkarni

Dayananda Sagar College of Engineering (DSCE), Bengaluru

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National Institute of Technology (NIT), Tiruchirapalli

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< 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 given Volumetric Displacement Formula

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

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, in the context of hydraulic systems, refers to the calculated or predicted power output of a hydraulic pump or motor based on ideal conditions and theoretical models. It represents the maximum power that could be generated by the system without considering losses or inefficiencies. 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 -> 2345.723 = (2*pi*146.607657160058*0.02*800)/60.

FAQ

What is Theoretical Power given Volumetric Displacement?

Theoretical Power given Volumetric Displacement, in the context of hydraulic systems, refers to the calculated or predicted power output of a hydraulic pump or motor based on ideal conditions and theoretical models. It represents the maximum power that could be generated by the system without considering losses or inefficiencies 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 in RPM is the rate of change of angular position of the driving or the input member, Theoretical volumetric displacement is the amount of liquid displaced per revolution & Pressure of Liquid Entering Motor force per unit area exerted by a liquid as it enters a motor or a pump system.

How to calculate Theoretical Power given Volumetric Displacement?

Theoretical Power given Volumetric Displacement, in the context of hydraulic systems, refers to the calculated or predicted power output of a hydraulic pump or motor based on ideal conditions and theoretical models. It represents the maximum power that could be generated by the system without considering losses or inefficiencies 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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