Angular Speed given Electrical Efficiency of DC Motor Calculator

✖Electrical Efficiency is define as useful power output divided by the total electrical power consumed (a fractional expression) for a given dc machine.ⓘ Electrical Efficiency [η_e]			+10% -10%
✖Supply Voltage is the input voltage being fed to the dc motor circuit.ⓘ Supply Voltage [V_s]			+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%
✖Armature Torque is defined as the electric torque induced by the armature winding in a dc motor.ⓘ Armature Torque [τ_a]			+10% -10%

✖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.ⓘ Angular Speed given Electrical Efficiency of DC Motor [ω_s]

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Angular Speed given Electrical Efficiency of DC Motor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angular Speed = (Electrical Efficiency*Supply Voltage*Armature Current)/Armature Torque
ω_s = (η_e*V_s*I_a)/τ_a
This formula uses 5 Variables

Variables Used

Angular Speed - (Measured in Radian per Second) - 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.
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.
Supply Voltage - (Measured in Volt) - Supply Voltage is the input voltage being fed to the dc motor circuit.
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.
Armature Torque - (Measured in Newton Meter) - Armature Torque is defined as the electric torque induced by the armature winding in a dc motor.

STEP 1: Convert Input(s) to Base Unit

Electrical Efficiency: 0.8 --> No Conversion Required
Supply Voltage: 240 Volt --> 240 Volt No Conversion Required
Armature Current: 0.724 Ampere --> 0.724 Ampere No Conversion Required
Armature Torque: 0.424 Newton Meter --> 0.424 Newton Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ω_s = (η_e*V_s*I_a)/τ_a --> (0.8*240*0.724)/0.424

Evaluating ... ...

ω_s = 327.849056603774

STEP 3: Convert Result to Output's Unit

327.849056603774 Radian per Second -->52.1787979491622 Revolution per Second (Check conversion here)

FINAL ANSWER

52.1787979491622 ≈ 52.1788 Revolution per Second <-- Angular Speed

(Calculation completed in 00.004 seconds)

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< DC Motor Characteristics Calculators

Machine Construction Constant of DC Motor

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

Back EMF Equation of DC Motor

LaTeX Go Back EMF = (Number of Poles*Magnetic Flux*Number of Conductors*Motor Speed)/(60*Number of Parallel Paths)

Armature Current given Electrical Efficiency of DC Motor

LaTeX Go Armature Current = (Angular Speed*Armature Torque)/(Supply Voltage*Electrical Efficiency)

Supply Voltage given Electrical Efficiency of DC Motor

LaTeX Go Supply Voltage = (Angular Speed*Armature Torque)/(Armature Current*Electrical Efficiency)

Angular Speed given Electrical Efficiency of DC Motor Formula

LaTeX Go

Angular Speed = (Electrical Efficiency*Supply Voltage*Armature Current)/Armature Torque
ω_s = (η_e*V_s*I_a)/τ_a

What is electrical energy efficiency?

Electrical energy efficiency is understood as the reduction in power and energy demands from the electrical system without affecting the normal activities carried out in buildings, industrial plants, or any other transformation process. Additionally, an energy-efficient electrical installation allows the economical and technical optimization. That is the reduction of technical and economical costs of operation.

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

Angular Speed given Electrical Efficiency of DC Motor calculator uses Angular Speed = (Electrical Efficiency*Supply Voltage*Armature Current)/Armature Torque to calculate 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 calculate Angular Speed given Electrical Efficiency of DC Motor using this online calculator? To use this online calculator 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. Here is how the Angular Speed given Electrical Efficiency of DC Motor calculation can be explained with given input values -> 29896.25 = (0.8*240*0.724)/0.424.

FAQ

What is Angular Speed given Electrical Efficiency of DC Motor?

The Angular Speed given Electrical Efficiency of DC Motor formula is defined as the rate of change of angular displacement of the DC motor and is represented as ω_s = (η_e*V_s*I_a)/τ_a or Angular Speed = (Electrical Efficiency*Supply Voltage*Armature Current)/Armature Torque. Electrical Efficiency is define as useful power output divided by the total electrical power consumed (a fractional expression) for a given dc machine, Supply Voltage is the input voltage being fed to the dc motor circuit, Armature Current DC motor is defined as the armature current developed in an electrical dc motor due to the rotation of rotor & Armature Torque is defined as the electric torque induced by the armature winding in a dc motor.

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

The Angular Speed given Electrical Efficiency of DC Motor formula is defined as the rate of change of angular displacement of the DC motor is calculated using Angular Speed = (Electrical Efficiency*Supply Voltage*Armature Current)/Armature Torque. To calculate Angular Speed given Electrical Efficiency of DC Motor, you need Electrical Efficiency (η_e), Supply Voltage (V_s), Armature Current (I_a) & Armature Torque (τ_a). With our tool, you need to enter the respective value for Electrical Efficiency, Supply Voltage, Armature Current & Armature Torque 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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