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Mechanical Efficiency given Induced Voltage and Armature Current Formula

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Mechanical Efficiency the ratio of the power delivered by a mechanical system to the power supplied to it. Check FAQs

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

η_m - Mechanical Efficiency?η_e - Electrical Efficiency?V_o - Output Voltage?I_a - Armature Current?ω_s - Angular Speed?τ - Torque?

Mechanical Efficiency given Induced Voltage and Armature Current Example

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Here is how the Mechanical Efficiency given Induced Voltage and Armature Current equation looks like with Values.

Here is how the Mechanical Efficiency given Induced Voltage and Armature Current equation looks like with Units.

Here is how the Mechanical Efficiency given Induced Voltage and Armature Current equation looks like.

0.4861 = \frac{0.86 \cdot 150 \cdot 0.75}{321 \cdot 0.62}

0.4861 = \frac{0.86 \cdot 150V \cdot 0.75A}{321rad/s \cdot 0.62N*m}

0.4861 = \frac{0.86 \cdot 150 \cdot 0.75}{321 \cdot 0.62}

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Mechanical Efficiency given Induced Voltage and Armature Current Solution

Follow our step by step solution on how to calculate Mechanical Efficiency given Induced Voltage and Armature Current?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

η m = \frac{0.86 \cdot 150V \cdot 0.75A}{321rad/s \cdot 0.62N*m}

Next Step Prepare to Evaluate

∴

η m = \frac{0.86 \cdot 150 \cdot 0.75}{321 \cdot 0.62}

Next Step Evaluate

∴

η m = 0.486132047030449

LAST Step Rounding Answer

∴

η m = 0.4861

Mechanical Efficiency given Induced Voltage and Armature Current Formula Elements

Variables

Mechanical Efficiency

Mechanical Efficiency the ratio of the power delivered by a mechanical system to the power supplied to it.

Symbol: η_m

Measurement: NAUnit: Unitless

Note: Value should be less than 1.0001.

Formulas to find Mechanical Efficiency

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.

Symbol: η_e

Measurement: NAUnit: Unitless

Note: Value should be less than 1.0001.

Formulas to find Electrical Efficiency

Output Voltage

Output Voltage is the electrical potential difference between the two terminals of the dc machine. Output Voltage is also called the Terminal Voltage.

Symbol: V_o

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Output Voltage

Armature Current

Armature Current is defined as the current developed in the armature of an electrical DC generator due to movement of rotor.

Symbol: I_a

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

Formulas to find Armature Current

Angular Speed

Angular speed is the rate of rotation about an axis, measuring how the angle changes with time. It is measured in radian/sec.

Symbol: ω_s

Measurement: Angular VelocityUnit: rad/s

Note: Value should be greater than 0.

Formulas to find Angular Speed

Torque

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.

Symbol: τ

Measurement: TorqueUnit: N*m

Note: Value can be positive or negative.

Formulas to find Torque

Other formulas in DC Machine Characterstics category

Go Design Constant of DC Machine

K f = \frac{Z \cdot P}{2 \cdot π \cdot n ll}

Go Angular Speed of DC Machine using Kf

ω s = \frac{V a}{K f \cdot Φ \cdot I a}

Go Back Pitch for DC Machine

Y b = (\frac{2 \cdot n slot}{P}) + 1

Go Front Pitch for DC Machine

Y F = (\frac{2 \cdot n slot}{P}) - 1

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

Mechanical Efficiency given Induced Voltage and Armature Current evaluator uses Mechanical Efficiency = (Electrical Efficiency*Output Voltage*Armature Current)/(Angular Speed*Torque) to evaluate 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 η_m symbol.

How to evaluate Mechanical Efficiency given Induced Voltage and Armature Current using this online evaluator? To use this online evaluator for Mechanical Efficiency given Induced Voltage and Armature Current, enter Electrical Efficiency (η_e), Output Voltage (V_o), Armature Current (I_a), Angular Speed (ω_s) & Torque (τ) and hit the calculate button.

FAQs on Mechanical Efficiency given Induced Voltage and Armature Current

What is the formula to find Mechanical Efficiency given Induced Voltage and Armature Current?

The formula of Mechanical Efficiency given Induced Voltage and Armature Current is expressed as Mechanical Efficiency = (Electrical Efficiency*Output Voltage*Armature Current)/(Angular Speed*Torque). Here is an example- 0.486132 = (0.86*150*0.75)/(321*0.62).

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

With Electrical Efficiency (η_e), Output Voltage (V_o), Armature Current (I_a), Angular Speed (ω_s) & Torque (τ) we can find Mechanical Efficiency given Induced Voltage and Armature Current using the formula - Mechanical Efficiency = (Electrical Efficiency*Output Voltage*Armature Current)/(Angular Speed*Torque).

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Mechanical Efficiency given Induced Voltage and Armature Current Formula

Mechanical Efficiency given Induced Voltage and Armature Current Example

Mechanical Efficiency given Induced Voltage and Armature Current Solution

Mechanical Efficiency given Induced Voltage and Armature Current Formula Elements

Other formulas in DC Machine Characterstics category

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

FAQs on Mechanical Efficiency given Induced Voltage and Armature Current

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