Speed of Series DC Motor Calculator

✖Supply Voltage is the input voltage being fed to the dc motor circuit. It affects various motor parameters, such as speed, torque, and power consumption.ⓘ Supply Voltage [V_s]			+10% -10%
✖The armature current plays a crucial role in determining the performance and operation of a DC motor. It affects the motor's torque production, speed, and efficiency.ⓘ 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%
✖Shunt Field Resistance is a device that creates a path that has a low resistance for electric current to flow in a dc motor circuit.ⓘ Shunt Field Resistance [R_sh]			+10% -10%
✖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%

✖Motor speed refers to the rotational speed of a motor, indicating how fast the motor's shaft or rotor is rotating.ⓘ Speed of Series DC Motor [N]

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Formula

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Speed of Series DC Motor

Formula

`"N" = ("V"_{"s"}-"I"_{"a"}*("R"_{"a"}+"R"_{"sh"}))/("K"_{"f"}*"Φ")`

Example

`"1290.022rev/min"=("240V"-"0.724A"*("80Ω"+"0.11Ω"))/("1.135"*"1.187Wb")`

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Speed of Series DC Motor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Motor Speed = (Supply Voltage-Armature Current*(Armature Resistance+Shunt Field Resistance))/(Constant of Machine Construction*Magnetic Flux)
N = (V_s-I_a*(R_a+R_sh))/(K_f*Φ)
This formula uses 7 Variables

Variables Used

Motor Speed - (Measured in Radian per Second) - Motor speed refers to the rotational speed of a motor, indicating how fast the motor's shaft or rotor is rotating.
Supply Voltage - (Measured in Volt) - Supply Voltage is the input voltage being fed to the dc motor circuit. It affects various motor parameters, such as speed, torque, and power consumption.
Armature Current - (Measured in Ampere) - The armature current plays a crucial role in determining the performance and operation of a DC motor. It affects the motor's torque production, speed, and efficiency.
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.
Shunt Field Resistance - (Measured in Ohm) - Shunt Field Resistance is a device that creates a path that has a low resistance for electric current to flow in a dc motor circuit.
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.

STEP 1: Convert Input(s) to Base Unit

Supply Voltage: 240 Volt --> 240 Volt No Conversion Required
Armature Current: 0.724 Ampere --> 0.724 Ampere No Conversion Required
Armature Resistance: 80 Ohm --> 80 Ohm No Conversion Required
Shunt Field Resistance: 0.11 Ohm --> 0.11 Ohm No Conversion Required
Constant of Machine Construction: 1.135 --> No Conversion Required
Magnetic Flux: 1.187 Weber --> 1.187 Weber No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N = (V_s-I_a*(R_a+R_sh))/(K_f*Φ) --> (240-0.724*(80+0.11))/(1.135*1.187)

Evaluating ... ...

N = 135.09076671281

STEP 3: Convert Result to Output's Unit

135.09076671281 Radian per Second -->1290.02179737076 Revolution per Minute (Check conversion here)

FINAL ANSWER

1290.02179737076 ≈ 1290.022 Revolution per Minute <-- Motor Speed

(Calculation completed in 00.004 seconds)

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Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has created this Calculator and 1500+ more calculators!

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Osmania University (OU), Hyderabad

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< 2 Speed Calculators

Speed of Series DC Motor

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

Angular Speed of DC Motor given Output Power

Go Angular Speed = Output Power/Torque

Speed of Series DC Motor Formula

Motor Speed = (Supply Voltage-Armature Current*(Armature Resistance+Shunt Field Resistance))/(Constant of Machine Construction*Magnetic Flux)
N = (V_s-I_a*(R_a+R_sh))/(K_f*Φ)

How does a DC series motor work?

In a DC motor, the stator provides a rotating magnetic field that drives the armature to rotate. A simple DC motor uses a stationary set of magnets in the stator, and a coil of wire with a current running through it to generate an electromagnetic field aligned with the centre of the coil.

How to Calculate Speed of Series DC Motor?

Speed of Series DC Motor calculator uses Motor Speed = (Supply Voltage-Armature Current*(Armature Resistance+Shunt Field Resistance))/(Constant of Machine Construction*Magnetic Flux) to calculate the Motor Speed, The Speed of Series DC Motor formula is defined as the speed at which the rotor rotates and Synchronous Speed is the speed of the stator magnetic field in the three-phase induction motor. Motor Speed is denoted by N symbol.

How to calculate Speed of Series DC Motor using this online calculator? To use this online calculator for Speed of Series DC Motor, enter Supply Voltage (V_s), Armature Current (I_a), Armature Resistance (R_a), Shunt Field Resistance (R_sh), Constant of Machine Construction (K_f) & Magnetic Flux (Φ) and hit the calculate button. Here is how the Speed of Series DC Motor calculation can be explained with given input values -> 12269.8 = (240-0.724*(80+0.11))/(1.135*1.187).

FAQ

What is Speed of Series DC Motor?

The Speed of Series DC Motor formula is defined as the speed at which the rotor rotates and Synchronous Speed is the speed of the stator magnetic field in the three-phase induction motor and is represented as N = (V_s-I_a*(R_a+R_sh))/(K_f*Φ) or Motor Speed = (Supply Voltage-Armature Current*(Armature Resistance+Shunt Field Resistance))/(Constant of Machine Construction*Magnetic Flux). Supply Voltage is the input voltage being fed to the dc motor circuit. It affects various motor parameters, such as speed, torque, and power consumption, The armature current plays a crucial role in determining the performance and operation of a DC motor. It affects the motor's torque production, speed, and efficiency, The Armature Resistance is the ohmic resistance of the copper winding wires plus the brush resistance in an electrical dc motor, Shunt Field Resistance is a device that creates a path that has a low resistance for electric current to flow in a dc motor circuit, 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.

How to calculate Speed of Series DC Motor?

The Speed of Series DC Motor formula is defined as the speed at which the rotor rotates and Synchronous Speed is the speed of the stator magnetic field in the three-phase induction motor is calculated using Motor Speed = (Supply Voltage-Armature Current*(Armature Resistance+Shunt Field Resistance))/(Constant of Machine Construction*Magnetic Flux). To calculate Speed of Series DC Motor, you need Supply Voltage (V_s), Armature Current (I_a), Armature Resistance (R_a), Shunt Field Resistance (R_sh), Constant of Machine Construction (K_f) & Magnetic Flux (Φ). With our tool, you need to enter the respective value for Supply Voltage, Armature Current, Armature Resistance, Shunt Field Resistance, Constant of Machine Construction & Magnetic Flux 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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