Angular Speed of DC Machine using Kf Calculator

✖Armature Voltage is defined as voltage developed at the terminals of the armature winding of an AC or DC machine during the generation of power.ⓘ Armature Voltage [V_a]			+10% -10%
✖Machine Constant refers to the parameter which usually has a constant value for a particular type of dc machine.ⓘ Machine Constant [K_f]			+10% -10%
✖Magnetic Flux refers to the lines of magnetic force that pass through the magnetic circuit of the machine. The magnetic flux is created by field winding that is wound around pole shoes.ⓘ Magnetic Flux [Φ]			+10% -10%
✖Armature Current is defined as the current developed in the armature of an electrical DC generator due to movement of rotor.ⓘ Armature Current [I_a]			+10% -10%

✖Angular speed is the rate of rotation about an axis, measuring how the angle changes with time. It is measured in radian/sec.ⓘ Angular Speed of DC Machine using Kf [ω_s]

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Formula

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Angular Speed of DC Machine using Kf

Formula

`"ω"_{"s"} = "V"_{"a"}/("K"_{"f"}*"Φ"*"I"_{"a"})`

Example

`"321.0685rad/s"="200V"/("2.864"*"0.29Wb"*"0.75A")`

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Angular Speed of DC Machine using Kf Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angular Speed = Armature Voltage/(Machine Constant*Magnetic Flux*Armature Current)
ω_s = V_a/(K_f*Φ*I_a)
This formula uses 5 Variables

Variables Used

Angular Speed - (Measured in Radian per Second) - Angular speed is the rate of rotation about an axis, measuring how the angle changes with time. It is measured in radian/sec.
Armature Voltage - (Measured in Volt) - Armature Voltage is defined as voltage developed at the terminals of the armature winding of an AC or DC machine during the generation of power.
Machine Constant - Machine Constant refers to the parameter which usually has a constant value for a particular type of dc machine.
Magnetic Flux - (Measured in Weber) - Magnetic Flux refers to the lines of magnetic force that pass through the magnetic circuit of the machine. The magnetic flux is created by field winding that is wound around pole shoes.
Armature Current - (Measured in Ampere) - Armature Current is defined as the current developed in the armature of an electrical DC generator due to movement of rotor.

STEP 1: Convert Input(s) to Base Unit

Armature Voltage: 200 Volt --> 200 Volt No Conversion Required
Machine Constant: 2.864 --> No Conversion Required
Magnetic Flux: 0.29 Weber --> 0.29 Weber No Conversion Required
Armature Current: 0.75 Ampere --> 0.75 Ampere No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ω_s = V_a/(K_f*Φ*I_a) --> 200/(2.864*0.29*0.75)

Evaluating ... ...

ω_s = 321.068516021319

STEP 3: Convert Result to Output's Unit

321.068516021319 Radian per Second --> No Conversion Required

FINAL ANSWER

321.068516021319 ≈ 321.0685 Radian per Second <-- Angular Speed

(Calculation completed in 00.004 seconds)

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< 16 DC Machine Characterstics Calculators

Mechanical Efficiency given Induced Voltage and Armature Current

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

Electrical Efficiency of DC Machine

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

Design Constant of DC Machine

Go Machine Constant = (Number of Conductors*Number of Poles)/(2*pi*Number of Parallel Paths)

Angular Speed of DC Machine using Kf

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

Armature Induced Voltage of DC Machine given Kf

Go Armature Voltage = Machine Constant*Armature Current*Magnetic Flux*Angular Speed

Back EMF of DC Generator

Go Back EMF = Output Voltage-(Armature Current*Armature Resistance)

Magnetic Flux of DC Machine given Torque

Go Magnetic Flux = Torque/(Machine Constant*Armature Current)

EMF Generated in DC Machine with Lap Winding

Go EMF = (Rotor Speed*Number of Conductors*Flux per Pole)/60

Torque generated in DC Machine

Go Torque = Machine Constant*Magnetic Flux*Armature Current

Coil Span of DC Motor

Go Coil Span Factor = Number of Commutator Segments/Number of Poles

Front Pitch for DC Machine

Go Front Pitch = ((2*Number of Slots)/Number of Poles)-1

Back Pitch for DC Machine

Go Back Pitch = ((2*Number of Slots)/Number of Poles)+1

Input Power of DC Motor

Go Input Power = Supply Voltage*Armature Current

Pole Pitch in DC Generator

Go Pole Pitch = Number of Slots/Number of Poles

Back Pitch for DC Machine given Coil Span

Go Back Pitch = Coil Span*Coil Span Factor

Output Power of DC Machine

Go Output Power = Angular Speed*Torque

Angular Speed of DC Machine using Kf Formula

Angular Speed = Armature Voltage/(Machine Constant*Magnetic Flux*Armature Current)
ω_s = V_a/(K_f*Φ*I_a)

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 Angular Speed of DC Machine using Kf?

Angular Speed of DC Machine using Kf calculator uses Angular Speed = Armature Voltage/(Machine Constant*Magnetic Flux*Armature Current) to calculate the Angular Speed, The Angular Speed of DC Machine using Kf formula is defined as the rate of change of angular displacement of the DC Machine. Angular Speed is denoted by ω_s symbol.

How to calculate Angular Speed of DC Machine using Kf using this online calculator? To use this online calculator for Angular Speed of DC Machine using Kf, enter Armature Voltage (V_a), Machine Constant (K_f), Magnetic Flux (Φ) & Armature Current (I_a) and hit the calculate button. Here is how the Angular Speed of DC Machine using Kf calculation can be explained with given input values -> 321.0685 = 200/(2.864*0.29*0.75).

FAQ

What is Angular Speed of DC Machine using Kf?

The Angular Speed of DC Machine using Kf formula is defined as the rate of change of angular displacement of the DC Machine and is represented as ω_s = V_a/(K_f*Φ*I_a) or Angular Speed = Armature Voltage/(Machine Constant*Magnetic Flux*Armature Current). Armature Voltage is defined as voltage developed at the terminals of the armature winding of an AC or DC machine during the generation of power, Machine Constant refers to the parameter which usually has a constant value for a particular type of dc machine, Magnetic Flux refers to the lines of magnetic force that pass through the magnetic circuit of the machine. The magnetic flux is created by field winding that is wound around pole shoes & Armature Current is defined as the current developed in the armature of an electrical DC generator due to movement of rotor.

How to calculate Angular Speed of DC Machine using Kf?

The Angular Speed of DC Machine using Kf formula is defined as the rate of change of angular displacement of the DC Machine is calculated using Angular Speed = Armature Voltage/(Machine Constant*Magnetic Flux*Armature Current). To calculate Angular Speed of DC Machine using Kf, you need Armature Voltage (V_a), Machine Constant (K_f), Magnetic Flux (Φ) & Armature Current (I_a). With our tool, you need to enter the respective value for Armature Voltage, Machine Constant, 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.

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