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Speed of Series DC Motor Formula

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Motor speed refers to the rotational speed of a motor, indicating how fast the motor's shaft or rotor is rotating. Check FAQs

N = \frac{V s - I a \cdot (R a + R sh)}{K f \cdot Φ}

N - Motor Speed?V_s - Supply Voltage?I_a - Armature Current?R_a - Armature Resistance?R_sh - Shunt Field Resistance?K_f - Constant of Machine Construction?Φ - Magnetic Flux?

Speed of Series DC Motor Example

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Here is how the Speed of Series DC Motor equation looks like with Values.

Here is how the Speed of Series DC Motor equation looks like with Units.

Here is how the Speed of Series DC Motor equation looks like.

1290.0218 = \frac{240 - 0.724 \cdot (80 + 0.11)}{1.135 \cdot 1.187}

1290.0218rev/min = \frac{240V - 0.724A \cdot (80Ω + 0.11Ω)}{1.135 \cdot 1.187Wb}

1290.0218 = \frac{240 - 0.724 \cdot (80 + 0.11)}{1.135 \cdot 1.187}

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Speed of Series DC Motor Solution

Follow our step by step solution on how to calculate Speed of Series DC Motor?

FIRST Step Consider the formula

N = \frac{V s - I a \cdot (R a + R sh)}{K f \cdot Φ}

Next Step Substitute values of Variables

∴

N = \frac{240V - 0.724A \cdot (80Ω + 0.11Ω)}{1.135 \cdot 1.187Wb}

Next Step Prepare to Evaluate

∴

N = \frac{240 - 0.724 \cdot (80 + 0.11)}{1.135 \cdot 1.187}

Next Step Evaluate

∴

N = 135.09076671281rad/s

Next Step Convert to Output's Unit

∴

N = 1290.02179737076rev/min

LAST Step Rounding Answer

∴

N = 1290.0218rev/min

Speed of Series DC Motor Formula Elements

Variables

Motor Speed

Motor speed refers to the rotational speed of a motor, indicating how fast the motor's shaft or rotor is rotating.

Symbol: N

Measurement: Angular VelocityUnit: rev/min

Note: Value can be positive or negative.

Supply Voltage

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.

Symbol: V_s

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Armature Current

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.

Symbol: I_a

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

Armature Resistance

The Armature Resistance is the ohmic resistance of the copper winding wires plus the brush resistance in an electrical dc motor.

Symbol: R_a

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Shunt Field Resistance

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.

Symbol: R_sh

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Constant of Machine Construction

Constant of Machine construction is a constant term which is calculated separately to a make calculation less complex.

Symbol: K_f

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Magnetic Flux

Magnetic flux (Φ) is the number of magnetic field lines passing through the magnetic core of an electrical dc motor.

Symbol: Φ

Measurement: Magnetic FluxUnit: Wb

Note: Value should be greater than 0.

Credits

Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has created this Formula and 1500+ more formulas!

Verified by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has verified this Formula and 1200+ more formulas!

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Go Angular Speed of DC Motor given Output Power

ω s = \frac{P out}{τ}

How to Evaluate Speed of Series DC Motor?

Speed of Series DC Motor evaluator uses Motor Speed = (Supply Voltage-Armature Current*(Armature Resistance+Shunt Field Resistance))/(Constant of Machine Construction*Magnetic Flux) to evaluate 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 evaluate Speed of Series DC Motor using this online evaluator? To use this online evaluator 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.

FAQs on Speed of Series DC Motor

What is the formula to find Speed of Series DC Motor?

The formula of Speed of Series DC Motor is expressed as Motor Speed = (Supply Voltage-Armature Current*(Armature Resistance+Shunt Field Resistance))/(Constant of Machine Construction*Magnetic Flux). Here is an example- 12269.8 = (240-0.724*(80+0.11))/(1.135*1.187).

How to calculate Speed of Series DC Motor?

With 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) we can find Speed of Series DC Motor using the formula - Motor Speed = (Supply Voltage-Armature Current*(Armature Resistance+Shunt Field Resistance))/(Constant of Machine Construction*Magnetic Flux).

Can the Speed of Series DC Motor be negative?

Yes, the Speed of Series DC Motor, measured in Angular Velocity can be negative.

Which unit is used to measure Speed of Series DC Motor?

Speed of Series DC Motor is usually measured using the Revolution per Minute[rev/min] for Angular Velocity. Radian per Second[rev/min], Radian per Day[rev/min], Radian per Hour[rev/min] are the few other units in which Speed of Series DC Motor can be measured.

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Speed of Series DC Motor Formula

Speed of Series DC Motor Example

Speed of Series DC Motor Solution

Speed of Series DC Motor Formula Elements

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Other formulas in Speed category

How to Evaluate Speed of Series DC Motor?

FAQs on Speed of Series DC Motor

Variable Name