Mechanical Efficiency given Induced Voltage and Armature Current Solution

STEP 0: Pre-Calculation Summary
Formula Used
Mechanical Efficiency = (Electrical Efficiency*Output Voltage*Armature Current)/(Angular Speed*Torque)
ηm = (ηe*Vo*Ia)/(ωs*τ)
This formula uses 6 Variables
Variables Used
Mechanical Efficiency - Mechanical Efficiency the ratio of the power delivered by a mechanical system to the power supplied to it.
Electrical Efficiency - Electrical efficiency is a measure of the ratio between the useful electrical energy output and the total electrical energy input of an electrical device or system.
Output Voltage - (Measured in Volt) - Output Voltage is the electrical potential difference between the two terminals of the dc machine. Output Voltage is also called the Terminal Voltage.
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.
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.
Torque - (Measured in Newton Meter) - Torque is the measure of the turning force produced by the armature. It is produced by the interaction between the magnetic field of the stator and the current flowing through armature.
STEP 1: Convert Input(s) to Base Unit
Electrical Efficiency: 0.86 --> No Conversion Required
Output Voltage: 150 Volt --> 150 Volt No Conversion Required
Armature Current: 0.75 Ampere --> 0.75 Ampere No Conversion Required
Angular Speed: 321 Radian per Second --> 321 Radian per Second No Conversion Required
Torque: 0.62 Newton Meter --> 0.62 Newton Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ηm = (ηe*Vo*Ia)/(ωs*τ) --> (0.86*150*0.75)/(321*0.62)
Evaluating ... ...
ηm = 0.486132047030449
STEP 3: Convert Result to Output's Unit
0.486132047030449 --> No Conversion Required
FINAL ANSWER
0.486132047030449 0.486132 <-- Mechanical Efficiency
(Calculation completed in 00.019 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

Mechanical Efficiency given Induced Voltage and Armature Current Formula

Mechanical Efficiency = (Electrical Efficiency*Output Voltage*Armature Current)/(Angular Speed*Torque)
ηm = (ηe*Vo*Ia)/(ωs*τ)

What do you mean by efficiency of motor?

This is the factor which tells about the performance of the motor. It is the ratio between output and input power at shaft it can be written as efficiency (e) = output power/input power.

How to Calculate Mechanical Efficiency given Induced Voltage and Armature Current?

Mechanical Efficiency given Induced Voltage and Armature Current calculator uses Mechanical Efficiency = (Electrical Efficiency*Output Voltage*Armature Current)/(Angular Speed*Torque) to calculate the Mechanical Efficiency, Mechanical Efficiency given Induced Voltage and Armature Current is the ratio between motor Output and Input is called efficiency which is indicated by the symbol of “η” . Mechanical Efficiency is denoted by ηm symbol.

How to calculate Mechanical Efficiency given Induced Voltage and Armature Current using this online calculator? To use this online calculator for Mechanical Efficiency given Induced Voltage and Armature Current, enter Electrical Efficiency e), Output Voltage (Vo), Armature Current (Ia), Angular Speed s) & Torque (τ) and hit the calculate button. Here is how the Mechanical Efficiency given Induced Voltage and Armature Current calculation can be explained with given input values -> 0.486132 = (0.86*150*0.75)/(321*0.62).

FAQ

What is Mechanical Efficiency given Induced Voltage and Armature Current?
Mechanical Efficiency given Induced Voltage and Armature Current is the ratio between motor Output and Input is called efficiency which is indicated by the symbol of “η” and is represented as ηm = (ηe*Vo*Ia)/(ωs*τ) or Mechanical Efficiency = (Electrical Efficiency*Output Voltage*Armature Current)/(Angular Speed*Torque). Electrical efficiency is a measure of the ratio between the useful electrical energy output and the total electrical energy input of an electrical device or system, Output Voltage is the electrical potential difference between the two terminals of the dc machine. Output Voltage is also called the Terminal Voltage, Armature Current is defined as the current developed in the armature of an electrical DC generator due to movement of rotor, Angular speed is the rate of rotation about an axis, measuring how the angle changes with time. It is measured in radian/sec & Torque is the measure of the turning force produced by the armature. It is produced by the interaction between the magnetic field of the stator and the current flowing through armature.
How to calculate Mechanical Efficiency given Induced Voltage and Armature Current?
Mechanical Efficiency given Induced Voltage and Armature Current is the ratio between motor Output and Input is called efficiency which is indicated by the symbol of “η” is calculated using Mechanical Efficiency = (Electrical Efficiency*Output Voltage*Armature Current)/(Angular Speed*Torque). To calculate Mechanical Efficiency given Induced Voltage and Armature Current, you need Electrical Efficiency e), Output Voltage (Vo), Armature Current (Ia), Angular Speed s) & Torque (τ). With our tool, you need to enter the respective value for Electrical Efficiency, Output Voltage, Armature Current, Angular Speed & 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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