Motor Torque of Series DC Motor given Machine Constant Calculator

✖Constant of Machine construction is a constant term which is calculated separately to a make calculation less complex.ⓘ Constant of Machine Construction [K_f]			+10% -10%
✖Magnetic flux (Φ) is the number of magnetic field lines passing through the magnetic core of an electrical dc motor.ⓘ Magnetic Flux [Φ]			+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%

✖Motor Torque is defined as a measure of the force that causes the rotor of an electrical machine to rotate about an axis.ⓘ Motor Torque of Series DC Motor given Machine Constant [τ]

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Formula

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Motor Torque of Series DC Motor given Machine Constant

Formula

`"τ" = "K"_{"f"}*"Φ"*"I"_{"a"}^2`

Example

`"0.706193N*m"="1.135"*"1.187Wb"*("0.724A")^2`

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Motor Torque of Series DC Motor given Machine Constant Solution

STEP 0: Pre-Calculation Summary

Formula Used

Motor Torque = Constant of Machine Construction*Magnetic Flux*Armature Current^2
τ = K_f*Φ*I_a^2
This formula uses 4 Variables

Variables Used

Motor Torque - (Measured in Newton Meter) - Motor Torque is defined as a measure of the force that causes the rotor of an electrical machine to rotate about an axis.
Constant of Machine Construction - Constant of Machine construction is a constant term which is calculated separately to a make calculation less complex.
Magnetic Flux - (Measured in Weber) - Magnetic flux (Φ) is the number of magnetic field lines passing through the magnetic core of an electrical dc motor.
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.

STEP 1: Convert Input(s) to Base Unit

Constant of Machine Construction: 1.135 --> No Conversion Required
Magnetic Flux: 1.187 Weber --> 1.187 Weber No Conversion Required
Armature Current: 0.724 Ampere --> 0.724 Ampere No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

τ = K_f*Φ*I_a^2 --> 1.135*1.187*0.724^2

Evaluating ... ...

τ = 0.70619349512

STEP 3: Convert Result to Output's Unit

0.70619349512 Newton Meter --> No Conversion Required

FINAL ANSWER

0.70619349512 ≈ 0.706193 Newton Meter <-- Motor Torque

(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

Motor Torque of Series DC Motor given Machine Constant Formula

Motor Torque = Constant of Machine Construction*Magnetic Flux*Armature Current^2
τ = K_f*Φ*I_a^2

What is the speed of a Series DC Generator?

The speed of a series DC generator is typically determined by the mechanical power input provided to the generator. The speed can vary depending on the application, but it is generally in the range of a few hundred to a few thousand revolutions per minute (RPM). The specific speed will depend on the design of the generator and the requirements of the application.

How to Calculate Motor Torque of Series DC Motor given Machine Constant?

Motor Torque of Series DC Motor given Machine Constant calculator uses Motor Torque = Constant of Machine Construction*Magnetic Flux*Armature Current^2 to calculate the Motor Torque, The Motor Torque of Series DC Motor given Machine Constant formula is defined as the measurement that determines the amount of torque a rotating part requires to remain rotating at a constant angular velocity once it begins spinning. Motor Torque is denoted by τ symbol.

How to calculate Motor Torque of Series DC Motor given Machine Constant using this online calculator? To use this online calculator for Motor Torque of Series DC Motor given Machine Constant, enter Constant of Machine Construction (K_f), Magnetic Flux (Φ) & Armature Current (I_a) and hit the calculate button. Here is how the Motor Torque of Series DC Motor given Machine Constant calculation can be explained with given input values -> 0.706193 = 1.135*1.187*0.724^2.

FAQ

What is Motor Torque of Series DC Motor given Machine Constant?

The Motor Torque of Series DC Motor given Machine Constant formula is defined as the measurement that determines the amount of torque a rotating part requires to remain rotating at a constant angular velocity once it begins spinning and is represented as τ = K_f*Φ*I_a^2 or Motor Torque = Constant of Machine Construction*Magnetic Flux*Armature Current^2. Constant of Machine construction is a constant term which is calculated separately to a make calculation less complex, Magnetic flux (Φ) is the number of magnetic field lines passing through the magnetic core of an electrical dc motor & Armature Current DC motor is defined as the armature current developed in an electrical dc motor due to the rotation of rotor.

How to calculate Motor Torque of Series DC Motor given Machine Constant?

The Motor Torque of Series DC Motor given Machine Constant formula is defined as the measurement that determines the amount of torque a rotating part requires to remain rotating at a constant angular velocity once it begins spinning is calculated using Motor Torque = Constant of Machine Construction*Magnetic Flux*Armature Current^2. To calculate Motor Torque of Series DC Motor given Machine Constant, you need Constant of Machine Construction (K_f), Magnetic Flux (Φ) & Armature Current (I_a). With our tool, you need to enter the respective value for Constant of Machine Construction, Magnetic Flux & Armature Current 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 Motor Torque?

In this formula, Motor Torque uses Constant of Machine Construction, Magnetic Flux & Armature Current. We can use 1 other way(s) to calculate the same, which is/are as follows -

Motor Torque = Armature Torque/Mechanical Efficiency

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