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Softusvista Office (Pune), India
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## Mechanical Efficiency Solution

STEP 0: Pre-Calculation Summary
Formula Used
efficiency = Induced voltage*Armature Current/Angular Speed*Torque
n = Ea*Ia/ω*τ
This formula uses 4 Variables
Variables Used
Induced voltage - Induced voltage when reactive power is given is the difference in electric potential between two points. (Measured in Volt)
Armature Current - Armature Current is the Current which Flows in Armature Winding or rotating Winding of Motor or generator. (Measured in Ampere)
Angular Speed - Angular speed is defined as the rate of change of angular displacement. (Measured in Revolution per Second)
Torque - Torque is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force. It is characterized by τ. (Measured in Newton Meter)
STEP 1: Convert Input(s) to Base Unit
Induced voltage: 50 Volt --> 50 Volt No Conversion Required
Armature Current: 0.5 Ampere --> 0.5 Ampere No Conversion Required
Angular Speed: 5 Revolution per Second --> 31.4159265359 Radian per Second (Check conversion here)
Torque: 50 Newton Meter --> 50 Newton Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
n = Ea*Ia/ω*τ --> 50*0.5/31.4159265359*50
Evaluating ... ...
n = 39.7887357729712
STEP 3: Convert Result to Output's Unit
39.7887357729712 --> No Conversion Required
39.7887357729712 <-- Efficiency
(Calculation completed in 00.031 seconds)

## < 11 Other formulas that you can solve using the same Inputs

Series Generator Terminal Voltage
voltage = Induced voltage-(Armature Current*(Armature resistance+Series field resistance)) Go
Input Power Per Phase
power_input = Voltage*Armature Current*cos(Theta) Go
EMF Of Dc Machine When Constant Of The DC Machine Is Given
electromotive_force = Constant Of The DC Machine*Angular Speed*Flux per pole Go
Armature Copper Loss
armature_loss = Armature Current*Armature Current*Armature resistance Go
Back EMF
electromotive_force = Voltage-(Armature Current*Armature resistance) Go
Shunt Generator Terminal Voltage
voltage = Induced voltage-(Armature Current*Armature resistance) Go
Power Loss Due To Brush Drop
power_loss_due_to_brush_drop = Armature Current*Voltage drop due to brush drop Go
Cutting Speed
cutting_speed = pi*Diameter*Angular Speed Go
Power Generated When The Armature Current Is Given
power = Induced voltage*Armature Current Go
Converted Power
power = Induced voltage*Armature Current Go
Power Generated When Torque is Given
power = Angular Speed*Torque Go

## < 11 Other formulas that calculate the same Output

efficiency = tan(Helix Angle*pi/180)*(1-Coefficient of Friction*tan(Helix Angle*pi/180)*sec(14.5*pi/180))/(Coefficient of Friction*sec(14.5*pi/180)+tan(Helix Angle*pi/180)) Go
Efficiency of screw jack when screw friction as well as collar friction considered
efficiency = (Weight*tan(Helix Angle)*Mean diameter of Screw)/((Weight of Load*tan(Helix Angle+Limiting angle of friction)*Mean diameter of Screw)+(Coefficient of friction for collar*Weight of Load*Mean radius of collar)) Go
Efficiency of spiral gears if pitch circle diameter is known
efficiency = (cos(Spiral angles of gear teeth for gear 1+Angle of friction)*Pitch circle diameter of gear 2*Speed of gear 2)/(cos(Spiral angles of gear teeth for gear 1-Angle of friction)*Pitch circle diameter of gear 1*Speed of gear 1) Go
Efficiency of spiral gears
efficiency = (cos(Spiral angles of gear teeth for gear 1+Angle of friction)*cos(Spiral angles of gear teeth for gear 1))/(cos(Spiral angles of gear teeth for gear 1-Angle of friction)*cos(Spiral angles of gear teeth for gear 1)) Go
efficiency = tan(Helix Angle)/((Coefficient of Friction+tan(Helix Angle))/(1-Coefficient of Friction*tan(Helix Angle))) Go
Maximum efficiency of spiral gears
efficiency = (cos(Shaft angle+Angle of friction)+1)/(cos(Shaft angle-Angle of friction)+1) Go
Efficiency of screw jack when only screw friction considered
efficiency = tan(Helix Angle)/tan(Helix Angle+Limiting angle of friction) Go
Maximum efficiency of screw a jack
efficiency = (1-sin(Limiting angle of friction))/(1+sin(Limiting angle of friction)) Go
Efficiency of transmission
Rotor Efficiency
efficiency = Motor Speed/Synchronous Speed Go
Motor Efficiency Using Slip
efficiency = 1-Slip Go

### Mechanical Efficiency Formula

efficiency = Induced voltage*Armature Current/Angular Speed*Torque
n = Ea*Ia/ω*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?

Mechanical Efficiency calculator uses efficiency = Induced voltage*Armature Current/Angular Speed*Torque to calculate the Efficiency, Mechanical Efficiency is the ratio between motor Output and Input is called efficiency which is indicated by the symbol of “η” and represented in the “%”. Efficiency and is denoted by n symbol.

How to calculate Mechanical Efficiency using this online calculator? To use this online calculator for Mechanical Efficiency, enter Induced voltage (Ea), Armature Current (Ia), Angular Speed (ω) and Torque (τ) and hit the calculate button. Here is how the Mechanical Efficiency calculation can be explained with given input values -> 39.78874 = 50*0.5/31.4159265359*50.

### FAQ

What is Mechanical Efficiency?
Mechanical Efficiency is the ratio between motor Output and Input is called efficiency which is indicated by the symbol of “η” and represented in the “%” and is represented as n = Ea*Ia/ω*τ or efficiency = Induced voltage*Armature Current/Angular Speed*Torque. Induced voltage when reactive power is given is the difference in electric potential between two points, Armature Current is the Current which Flows in Armature Winding or rotating Winding of Motor or generator, Angular speed is defined as the rate of change of angular displacement and Torque is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force. It is characterized by τ.
How to calculate Mechanical Efficiency?
Mechanical Efficiency is the ratio between motor Output and Input is called efficiency which is indicated by the symbol of “η” and represented in the “%” is calculated using efficiency = Induced voltage*Armature Current/Angular Speed*Torque. To calculate Mechanical Efficiency, you need Induced voltage (Ea), Armature Current (Ia), Angular Speed (ω) and Torque (τ). With our tool, you need to enter the respective value for Induced voltage, Armature Current, Angular Speed and Torque and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Efficiency?
In this formula, Efficiency uses Induced voltage, Armature Current, Angular Speed and Torque. We can use 11 other way(s) to calculate the same, which is/are as follows -
• efficiency = Motor Speed/Synchronous Speed
• efficiency = 1-Slip
• efficiency = tan(Helix Angle)/tan(Helix Angle+Limiting angle of friction)
• efficiency = (Weight*tan(Helix Angle)*Mean diameter of Screw)/((Weight of Load*tan(Helix Angle+Limiting angle of friction)*Mean diameter of Screw)+(Coefficient of friction for collar*Weight of Load*Mean radius of collar))
• efficiency = (1-sin(Limiting angle of friction))/(1+sin(Limiting angle of friction))
• efficiency = (cos(Shaft angle+Angle of friction)+1)/(cos(Shaft angle-Angle of friction)+1)
• efficiency = (cos(Spiral angles of gear teeth for gear 1+Angle of friction)*cos(Spiral angles of gear teeth for gear 1))/(cos(Spiral angles of gear teeth for gear 1-Angle of friction)*cos(Spiral angles of gear teeth for gear 1))
• efficiency = (cos(Spiral angles of gear teeth for gear 1+Angle of friction)*Pitch circle diameter of gear 2*Speed of gear 2)/(cos(Spiral angles of gear teeth for gear 1-Angle of friction)*Pitch circle diameter of gear 1*Speed of gear 1)