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Mechanical Efficiency of DC Generator using Armature Voltage Formula

GoMechanical Efficiency of DC Generator using Converted Power 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{V a \cdot I a}{ω s \cdot τ}

η_m - Mechanical Efficiency?V_a - Armature Voltage?I_a - Armature Current?ω_s - Angular Speed?τ - Torque?

Mechanical Efficiency of DC Generator using Armature Voltage Example

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Here is how the Mechanical Efficiency of DC Generator using Armature Voltage equation looks like with Values.

Here is how the Mechanical Efficiency of DC Generator using Armature Voltage equation looks like with Units.

Here is how the Mechanical Efficiency of DC Generator using Armature Voltage equation looks like.

0.6824 = \frac{200 \cdot 0.75}{314 \cdot 0.7}

0.6824 = \frac{200V \cdot 0.75A}{314rad/s \cdot 0.7N*m}

0.6824 = \frac{200 \cdot 0.75}{314 \cdot 0.7}

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Mechanical Efficiency of DC Generator using Armature Voltage Solution

Follow our step by step solution on how to calculate Mechanical Efficiency of DC Generator using Armature Voltage?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

η m = \frac{200V \cdot 0.75A}{314rad/s \cdot 0.7N*m}

Next Step Prepare to Evaluate

∴

η m = \frac{200 \cdot 0.75}{314 \cdot 0.7}

Next Step Evaluate

∴

η m = 0.682438580527753

LAST Step Rounding Answer

∴

η m = 0.6824

Mechanical Efficiency of DC Generator using Armature Voltage 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 greater than 0.

Formulas to find Mechanical Efficiency

Armature Voltage

Armature Voltage is defined as voltage developed at the terminals of the armature winding of an AC or DC machine during the generation of power.

Symbol: V_a

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Armature 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 should be greater than 0.

Formulas to find Torque

Other Formulas to find Mechanical Efficiency

Go Mechanical Efficiency of DC Generator using Converted Power

η m = \frac{P conv}{P in}

Other formulas in DC Generator Characteristics category

Go Converted Power in DC Generator

P conv = V o \cdot I L

Go Field Copper Loss in DC Generator

P cu = {I f}^{2} \cdot R f

Go Output Voltage in DC Generator using Converted Power

V o = \frac{P conv}{I L}

Go Back EMF of DC Generator given Flux

E = K e \cdot ω s \cdot Φ p

How to Evaluate Mechanical Efficiency of DC Generator using Armature Voltage?

Mechanical Efficiency of DC Generator using Armature Voltage evaluator uses Mechanical Efficiency = (Armature Voltage*Armature Current)/(Angular Speed*Torque) to evaluate the Mechanical Efficiency, Mechanical Efficiency of DC Generator using Armature Voltage is dependent on the power in the armature and mechanical power applied at the input. Mechanical Efficiency is denoted by η_m symbol.

How to evaluate Mechanical Efficiency of DC Generator using Armature Voltage using this online evaluator? To use this online evaluator for Mechanical Efficiency of DC Generator using Armature Voltage, enter Armature Voltage (V_a), Armature Current (I_a), Angular Speed (ω_s) & Torque (τ) and hit the calculate button.

FAQs on Mechanical Efficiency of DC Generator using Armature Voltage

What is the formula to find Mechanical Efficiency of DC Generator using Armature Voltage?

The formula of Mechanical Efficiency of DC Generator using Armature Voltage is expressed as Mechanical Efficiency = (Armature Voltage*Armature Current)/(Angular Speed*Torque). Here is an example- 0.682439 = (200*0.75)/(314*0.7).

How to calculate Mechanical Efficiency of DC Generator using Armature Voltage?

With Armature Voltage (V_a), Armature Current (I_a), Angular Speed (ω_s) & Torque (τ) we can find Mechanical Efficiency of DC Generator using Armature Voltage using the formula - Mechanical Efficiency = (Armature Voltage*Armature Current)/(Angular Speed*Torque).

What are the other ways to Calculate Mechanical Efficiency?

Here are the different ways to Calculate Mechanical Efficiency-

Mechanical Efficiency=Converted Power/Input Power

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Mechanical Efficiency of DC Generator using Armature Voltage Formula

​GoMechanical Efficiency of DC Generator using Converted Power Formula

Mechanical Efficiency of DC Generator using Armature Voltage Example

Mechanical Efficiency of DC Generator using Armature Voltage Solution

Mechanical Efficiency of DC Generator using Armature Voltage Formula Elements

Other Formulas to find Mechanical Efficiency

Other formulas in DC Generator Characteristics category

How to Evaluate Mechanical Efficiency of DC Generator using Armature Voltage?

FAQs on Mechanical Efficiency of DC Generator using Armature Voltage

Variable Name

GoMechanical Efficiency of DC Generator using Converted Power Formula