Efficiency of Machine Solution

STEP 0: Pre-Calculation Summary
Formula Used
Gear Efficiency = Output Power/Input Power
η = Pout/Pin
This formula uses 3 Variables
Variables Used
Gear Efficiency - Gear Efficiency is simply the ratio of output shaft power to the Input shaft power.
Output Power - (Measured in Watt) - Output Power is the power supplied by the electrical machine to the load connected across it.
Input Power - (Measured in Watt) - Input Power is the power, which is required by the appliance at its input i.e., from the plug point.
STEP 1: Convert Input(s) to Base Unit
Output Power: 41 Watt --> 41 Watt No Conversion Required
Input Power: 46 Watt --> 46 Watt No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
η = Pout/Pin --> 41/46
Evaluating ... ...
η = 0.891304347826087
STEP 3: Convert Result to Output's Unit
0.891304347826087 --> No Conversion Required
FINAL ANSWER
0.891304347826087 0.891304 <-- Gear Efficiency
(Calculation completed in 00.020 seconds)

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Created by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
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17 Kinetics Calculators

Loss of Kinetic Energy during Perfectly Inelastic Collision
Go Loss of K.E During Perfectly Inelastic Collision = (Mass of Body A*Mass of Body B*(Initial Velocity of Body A Before the Collision-Initial Velocity of Body B Before the Collision)^2)/(2*(Mass of Body A+Mass of Body B))
Final Velocity of Bodies A and B after Inelastic Collision
Go Final Speed of A and B After Inelastic Collision = (Mass of Body A*Initial Velocity of Body A Before the Collision+Mass of Body B*Initial Velocity of Body B Before the Collision)/(Mass of Body A+Mass of Body B)
Coefficient of Restitution
Go Coefficient of Restitution = (Final Velocity of Body A After Elastic Collision-Final Velocity of Body B After Elastic Collision)/(Initial Velocity of Body B Before the Collision-Initial Velocity of Body A Before the Collision)
Equivalent Mass Moment of Inertia of Geared System with Shaft A and Shaft B
Go Equivalent Mass MOI of Geared System = Mass Moment of Inertia of Mass Attached to Shaft A+(Gear Ratio^2*Mass Moment of Inertia of Mass Attached to Shaft B)/Gear Efficiency
Kinetic Energy of System after Inelastic Collision
Go Kinetic Energy of System After Inelastic Collision = ((Mass of Body A+Mass of Body B)*Final Speed of A and B After Inelastic Collision^2)/2
Impulsive Force
Go Impulsive Force = (Mass*(Final Velocity-Initial Velocity))/Time Taken to Travel
Loss of Kinetic Energy during Imperfect Elastic Impact
Go Loss of Kinetic Energy During an Elastic Collision = Loss of K.E During Perfectly Inelastic Collision*(1-Coefficient of Restitution^2)
Speed of Guide Pulley
Go Speed of Guide Pulley = Speed of Drum Pulley*Diameter of Drum Pulley/Diameter of Guide Pulley
Centripetal Force or Centrifugal Force for given Angular Velocity and Radius of Curvature
Go Centripetal Force = Mass*Angular Velocity^2*Radius of Curvature
Total Kinetic Energy of Geared System
Go Kinetic Energy = (Equivalent Mass MOI of Geared System*Angular Acceleration of Shaft A^2)/2
Overall Efficiency from Shaft A to X
Go Overall Efficiency from Shaft A to X = Gear Efficiency^Total no. of Gear Pairs
Angular Acceleration of Shaft B given Gear Ratio and Angular Acceleration of Shaft A
Go Angular Acceleration of Shaft B = Gear Ratio*Angular Acceleration of Shaft A
Gear Ratio when Two Shafts A and B are Geared Together
Go Gear Ratio = Speed of Shaft B in RPM/Speed of Shaft A in RPM
Angular Velocity given Speed in RPM
Go Angular Velocity = (2*pi*Speed of Shaft A in RPM)/60
Efficiency of Machine
Go Gear Efficiency = Output Power/Input Power
Power Loss
Go Power Loss = Input Power-Output Power
Impulse
Go Impulse = Force*Time Taken to Travel

Efficiency of Machine Formula

Gear Efficiency = Output Power/Input Power
η = Pout/Pin

What is efficiency?

Efficiency is the percent of work put into a machine by the user (input work) that becomes work done by the machine (output work). The output work is always less than the input work because some of the input work is used to overcome friction. Therefore, efficiency is always less than 100 percent.

How to Calculate Efficiency of Machine?

Efficiency of Machine calculator uses Gear Efficiency = Output Power/Input Power to calculate the Gear Efficiency, Efficiency of Machine is simple calculated as the [output shaft power /Input shaft power ]. The output power is the (input power - the power losses). Power losses in gear systems are associated primarily with tooth friction and lubrication churning losses. Gear Efficiency is denoted by η symbol.

How to calculate Efficiency of Machine using this online calculator? To use this online calculator for Efficiency of Machine, enter Output Power (Pout) & Input Power (Pin) and hit the calculate button. Here is how the Efficiency of Machine calculation can be explained with given input values -> 0.891304 = 41/46.

FAQ

What is Efficiency of Machine?
Efficiency of Machine is simple calculated as the [output shaft power /Input shaft power ]. The output power is the (input power - the power losses). Power losses in gear systems are associated primarily with tooth friction and lubrication churning losses and is represented as η = Pout/Pin or Gear Efficiency = Output Power/Input Power. Output Power is the power supplied by the electrical machine to the load connected across it & Input Power is the power, which is required by the appliance at its input i.e., from the plug point.
How to calculate Efficiency of Machine?
Efficiency of Machine is simple calculated as the [output shaft power /Input shaft power ]. The output power is the (input power - the power losses). Power losses in gear systems are associated primarily with tooth friction and lubrication churning losses is calculated using Gear Efficiency = Output Power/Input Power. To calculate Efficiency of Machine, you need Output Power (Pout) & Input Power (Pin). With our tool, you need to enter the respective value for Output Power & Input Power 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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