Mechanical Power Developed in DC Motor given Input Power Calculator

✖Input Power is defined as the total power supplied to the electrical dc motor from the source which is connected to it.ⓘ Input Power [P_in]			+10% -10%
✖Armature Current DC motor is defined as the armature current developed in an electrical dc motor due to the rotation of rotor.ⓘ Armature Current [I_a]			+10% -10%
✖The Armature Resistance is the ohmic resistance of the copper winding wires plus the brush resistance in an electrical dc motor.ⓘ Armature Resistance [R_a]			+10% -10%

✖Mechanical Power is the product of a force on an object and the object's velocity or the product of torque on a shaft and the shaft's angular velocity.ⓘ Mechanical Power Developed in DC Motor given Input Power [P_m]

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Mechanical Power Developed in DC Motor given Input Power

Formula

`"P"_{"m"} = "P"_{"in"}-("I"_{"a"}^2*"R"_{"a"})`

Example

`"36.06592W"="78W"-(("0.724A")^2*"80Ω")`

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Mechanical Power Developed in DC Motor given Input Power Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mechanical Power = Input Power-(Armature Current^2*Armature Resistance)
P_m = P_in-(I_a^2*R_a)
This formula uses 4 Variables

Variables Used

Mechanical Power - (Measured in Watt) - Mechanical Power is the product of a force on an object and the object's velocity or the product of torque on a shaft and the shaft's angular velocity.
Input Power - (Measured in Watt) - Input Power is defined as the total power supplied to the electrical dc motor from the source which is connected to it.
Armature Current - (Measured in Ampere) - Armature Current DC motor is defined as the armature current developed in an electrical dc motor due to the rotation of rotor.
Armature Resistance - (Measured in Ohm) - The Armature Resistance is the ohmic resistance of the copper winding wires plus the brush resistance in an electrical dc motor.

STEP 1: Convert Input(s) to Base Unit

Input Power: 78 Watt --> 78 Watt No Conversion Required
Armature Current: 0.724 Ampere --> 0.724 Ampere No Conversion Required
Armature Resistance: 80 Ohm --> 80 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_m = P_in-(I_a^2*R_a) --> 78-(0.724^2*80)

Evaluating ... ...

P_m = 36.06592

STEP 3: Convert Result to Output's Unit

36.06592 Watt --> No Conversion Required

FINAL ANSWER

36.06592 Watt <-- Mechanical Power

(Calculation completed in 00.004 seconds)

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< 25 DC Motor Characteristics Calculators

Supply Voltage given Overall Efficiency of DC Motor

Go Supply Voltage = ((Electric Current-Shunt Field Current)^2*Armature Resistance+Mechanical Losses+Core Losses)/(Electric Current*(1-Overall Efficiency))

Machine Construction Constant of DC Motor

Go Constant of Machine Construction = (Supply Voltage-Armature Current*Armature Resistance)/(Magnetic Flux*Motor Speed)

Motor Speed of DC Motor given Flux

Go Motor Speed = (Supply Voltage-Armature Current*Armature Resistance)/(Constant of Machine Construction*Magnetic Flux)

Magnetic Flux of DC Motor

Go Magnetic Flux = (Supply Voltage-Armature Current*Armature Resistance)/(Constant of Machine Construction*Motor Speed)

Back EMF Equation of DC Motor

Go Back EMF = (Number of Poles*Magnetic Flux*Number of Conductors*Motor Speed)/(60*Number of Parallel Paths)

Motor Speed of DC Motor

Go Motor Speed = (60*Number of Parallel Paths*Back EMF)/(Number of Conductors*Number of Poles*Magnetic Flux)

Overall Efficiency of DC Motor given Input Power

Go Overall Efficiency = (Input Power-(Armature Copper Loss+Field Copper Losses+Power Loss))/Input Power

Armature Current of DC Motor

Go Armature Current = Armature Voltage/(Constant of Machine Construction*Magnetic Flux*Angular Speed)

Armature Current given Electrical Efficiency of DC Motor

Go Armature Current = (Angular Speed*Armature Torque)/(Supply Voltage*Electrical Efficiency)

Supply Voltage given Electrical Efficiency of DC Motor

Go Supply Voltage = (Angular Speed*Armature Torque)/(Armature Current*Electrical Efficiency)

Electrical Efficiency of DC Motor

Go Electrical Efficiency = (Armature Torque*Angular Speed)/(Supply Voltage*Armature Current)

Armature Torque given Electrical Efficiency of DC Motor

Go Armature Torque = (Armature Current*Supply Voltage*Electrical Efficiency)/Angular Speed

Angular Speed given Electrical Efficiency of DC Motor

Go Angular Speed = (Electrical Efficiency*Supply Voltage*Armature Current)/Armature Torque

Mechanical Power Developed in DC Motor given Input Power

Go Mechanical Power = Input Power-(Armature Current^2*Armature Resistance)

Total Power Loss given Overall Efficiency of DC Motor

Go Power Loss = Input Power-Overall Efficiency*Input Power

Armature Torque given Mechanical Efficiency of DC Motor

Go Armature Torque = Mechanical Efficiency*Motor Torque

Motor Torque given Mechanical Efficiency of DC Motor

Go Motor Torque = Armature Torque/Mechanical Efficiency

Mechanical Efficiency of DC Motor

Go Mechanical Efficiency = Armature Torque/Motor Torque

Converted Power given Electrical Efficiency of DC Motor

Go Converted Power = Electrical Efficiency*Input Power

Input Power given Electrical Efficiency of DC Motor

Go Input Power = Converted Power/Electrical Efficiency

Overall Efficiency of DC Motor

Go Overall Efficiency = Mechanical Power/Input Power

Output Power given Overall Efficiency of DC Motor

Go Output Power = Input Power*Overall Efficiency

Core Loss given Mechanical Loss of DC Motor

Go Core Losses = Constant Loss-Mechanical Losses

Constant Losses given Mechanical Loss

Go Constant Loss = Core Losses+Mechanical Losses

DC Motor Frequency given Speed

Go Frequency = (Number of Poles*Motor Speed)/120

Mechanical Power Developed in DC Motor given Input Power Formula

Mechanical Power = Input Power-(Armature Current^2*Armature Resistance)
P_m = P_in-(I_a^2*R_a)

What is input power?

Input Power is the power, which is required by the appliance at its input. The power input of a centrifugal pump (pump input power) is the mechanical power taken by the pump shaft or coupling from the drive.

How to Calculate Mechanical Power Developed in DC Motor given Input Power?

Mechanical Power Developed in DC Motor given Input Power calculator uses Mechanical Power = Input Power-(Armature Current^2*Armature Resistance) to calculate the Mechanical Power, Mechanical Power Developed in DC Motor given Input Power is defined as the mechanical power generated by an electrical machine when the input power is known. Mechanical Power is denoted by P_m symbol.

How to calculate Mechanical Power Developed in DC Motor given Input Power using this online calculator? To use this online calculator for Mechanical Power Developed in DC Motor given Input Power, enter Input Power (P_in), Armature Current (I_a) & Armature Resistance (R_a) and hit the calculate button. Here is how the Mechanical Power Developed in DC Motor given Input Power calculation can be explained with given input values -> -535.832 = 78-(0.724^2*80).

FAQ

What is Mechanical Power Developed in DC Motor given Input Power?

Mechanical Power Developed in DC Motor given Input Power is defined as the mechanical power generated by an electrical machine when the input power is known and is represented as P_m = P_in-(I_a^2*R_a) or Mechanical Power = Input Power-(Armature Current^2*Armature Resistance). Input Power is defined as the total power supplied to the electrical dc motor from the source which is connected to it, Armature Current DC motor is defined as the armature current developed in an electrical dc motor due to the rotation of rotor & The Armature Resistance is the ohmic resistance of the copper winding wires plus the brush resistance in an electrical dc motor.

How to calculate Mechanical Power Developed in DC Motor given Input Power?

Mechanical Power Developed in DC Motor given Input Power is defined as the mechanical power generated by an electrical machine when the input power is known is calculated using Mechanical Power = Input Power-(Armature Current^2*Armature Resistance). To calculate Mechanical Power Developed in DC Motor given Input Power, you need Input Power (P_in), Armature Current (I_a) & Armature Resistance (R_a). With our tool, you need to enter the respective value for Input Power, Armature Current & Armature Resistance and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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