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Angular Speed given Electrical Efficiency of DC Motor Formula

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Angular speed refers to the rate at which an object rotates around an axis. In the context of a DC (direct current) motor, angular speed represents how fast the motor's rotor is spinning. Check FAQs

ω s = \frac{η e \cdot V s \cdot I a}{τ a}

ω_s - Angular Speed?η_e - Electrical Efficiency?V_s - Supply Voltage?I_a - Armature Current?τ_a - Armature Torque?

Angular Speed given Electrical Efficiency of DC Motor Example

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Here is how the Angular Speed given Electrical Efficiency of DC Motor equation looks like with Values.

Here is how the Angular Speed given Electrical Efficiency of DC Motor equation looks like with Units.

Here is how the Angular Speed given Electrical Efficiency of DC Motor equation looks like.

52.1788 = \frac{0.8 \cdot 240 \cdot 0.724}{0.424}

52.1788rev/s = \frac{0.8 \cdot 240V \cdot 0.724A}{0.424N*m}

52.1788 = \frac{0.8 \cdot 240 \cdot 0.724}{0.424}

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Angular Speed given Electrical Efficiency of DC Motor Solution

Follow our step by step solution on how to calculate Angular Speed given Electrical Efficiency of DC Motor?

FIRST Step Consider the formula

ω s = \frac{η e \cdot V s \cdot I a}{τ a}

Next Step Substitute values of Variables

∴

ω s = \frac{0.8 \cdot 240V \cdot 0.724A}{0.424N*m}

Next Step Prepare to Evaluate

∴

ω s = \frac{0.8 \cdot 240 \cdot 0.724}{0.424}

Next Step Evaluate

∴

ω s = 327.849056603774rad/s

Next Step Convert to Output's Unit

∴

ω s = 52.1787979491622rev/s

LAST Step Rounding Answer

∴

ω s = 52.1788rev/s

Angular Speed given Electrical Efficiency of DC Motor Formula Elements

Variables

Angular Speed

Angular speed refers to the rate at which an object rotates around an axis. In the context of a DC (direct current) motor, angular speed represents how fast the motor's rotor is spinning.

Symbol: ω_s

Measurement: Angular VelocityUnit: rev/s

Note: Value should be greater than 0.

Formulas to find Angular Speed

Electrical Efficiency

Electrical Efficiency is define as useful power output divided by the total electrical power consumed (a fractional expression) for a given dc machine.

Symbol: η_e

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Electrical Efficiency

Supply Voltage

Supply Voltage is the input voltage being fed to the dc motor circuit.

Symbol: V_s

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Supply Voltage

Armature Current

Armature Current DC motor is defined as the armature current developed in an electrical dc motor due to the rotation of rotor.

Symbol: I_a

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

Formulas to find Armature Current

Armature Torque

Armature Torque is defined as the electric torque induced by the armature winding in a dc motor.

Symbol: τ_a

Measurement: TorqueUnit: N*m

Note: Value can be positive or negative.

Formulas to find Armature Torque

Other formulas in DC Motor Characteristics category

Go Machine Construction Constant of DC Motor

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

Go Back EMF Equation of DC Motor

E b = \frac{n \cdot Φ \cdot Z \cdot N}{60 \cdot n ||}

Go Supply Voltage given Electrical Efficiency of DC Motor

V s = \frac{ω s \cdot τ a}{I a \cdot η e}

Go Armature Current given Electrical Efficiency of DC Motor

I a = \frac{ω s \cdot τ a}{V s \cdot η e}

How to Evaluate Angular Speed given Electrical Efficiency of DC Motor?

Angular Speed given Electrical Efficiency of DC Motor evaluator uses Angular Speed = (Electrical Efficiency*Supply Voltage*Armature Current)/Armature Torque to evaluate the Angular Speed, The Angular Speed given Electrical Efficiency of DC Motor formula is defined as the rate of change of angular displacement of the DC motor. Angular Speed is denoted by ω_s symbol.

How to evaluate Angular Speed given Electrical Efficiency of DC Motor using this online evaluator? To use this online evaluator for Angular Speed given Electrical Efficiency of DC Motor, enter Electrical Efficiency (η_e), Supply Voltage (V_s), Armature Current (I_a) & Armature Torque (τ_a) and hit the calculate button.

FAQs on Angular Speed given Electrical Efficiency of DC Motor

What is the formula to find Angular Speed given Electrical Efficiency of DC Motor?

The formula of Angular Speed given Electrical Efficiency of DC Motor is expressed as Angular Speed = (Electrical Efficiency*Supply Voltage*Armature Current)/Armature Torque. Here is an example- 29896.25 = (0.8*240*0.724)/0.424.

How to calculate Angular Speed given Electrical Efficiency of DC Motor?

With Electrical Efficiency (η_e), Supply Voltage (V_s), Armature Current (I_a) & Armature Torque (τ_a) we can find Angular Speed given Electrical Efficiency of DC Motor using the formula - Angular Speed = (Electrical Efficiency*Supply Voltage*Armature Current)/Armature Torque.

Can the Angular Speed given Electrical Efficiency of DC Motor be negative?

No, the Angular Speed given Electrical Efficiency of DC Motor, measured in Angular Velocity cannot be negative.

Which unit is used to measure Angular Speed given Electrical Efficiency of DC Motor?

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

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Angular Speed given Electrical Efficiency of DC Motor Formula

Angular Speed given Electrical Efficiency of DC Motor Example

Angular Speed given Electrical Efficiency of DC Motor Solution

Angular Speed given Electrical Efficiency of DC Motor Formula Elements

Other formulas in DC Motor Characteristics category

How to Evaluate Angular Speed given Electrical Efficiency of DC Motor?

FAQs on Angular Speed given Electrical Efficiency of DC Motor

Variable Name