Overall Efficiency from Shaft A to X Calculator

✖Gear Efficiency is simply the ratio of output shaft power to the Input shaft power.ⓘ Gear Efficiency [η]			+10% -10%
✖Total no. of gear pairs, have m gear pairs each pair of teeth first make contact at a single point at one side of the gear wheel; a moving curve of contact then grows gradually.ⓘ Total no. of Gear Pairs [m]			+10% -10%

✖The Overall efficiency from shaft A to X, of a gearbox, depends mainly on the gear mesh and bearings efficiency.ⓘ Overall Efficiency from Shaft A to X [η_x]

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Formula

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Overall Efficiency from Shaft A to X

Formula

`"η"_{"x"} = "η"^"m"`

Example

`"0.034264"=("0.82")^"17"`

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Overall Efficiency from Shaft A to X Solution

STEP 0: Pre-Calculation Summary

Formula Used

Overall Efficiency from Shaft A to X = Gear Efficiency^Total no. of Gear Pairs
η_x = η^m
This formula uses 3 Variables

Variables Used

Overall Efficiency from Shaft A to X - The Overall efficiency from shaft A to X, of a gearbox, depends mainly on the gear mesh and bearings efficiency.
Gear Efficiency - Gear Efficiency is simply the ratio of output shaft power to the Input shaft power.
Total no. of Gear Pairs - Total no. of gear pairs, have m gear pairs each pair of teeth first make contact at a single point at one side of the gear wheel; a moving curve of contact then grows gradually.

STEP 1: Convert Input(s) to Base Unit

Gear Efficiency: 0.82 --> No Conversion Required
Total no. of Gear Pairs: 17 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

η_x = η^m --> 0.82^17

Evaluating ... ...

η_x = 0.0342637971701861

STEP 3: Convert Result to Output's Unit

0.0342637971701861 --> No Conversion Required

FINAL ANSWER

0.0342637971701861 ≈ 0.034264 <-- Overall Efficiency from Shaft A to X

(Calculation completed in 00.004 seconds)

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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

Overall Efficiency from Shaft A to X Formula

Overall Efficiency from Shaft A to X = Gear Efficiency^Total no. of Gear Pairs
η_x = η^m

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 Overall Efficiency from Shaft A to X?

Overall Efficiency from Shaft A to X calculator uses Overall Efficiency from Shaft A to X = Gear Efficiency^Total no. of Gear Pairs to calculate the Overall Efficiency from Shaft A to X, The Overall efficiency From Shaft A to X, of a gearbox, depends mainly on the gear mesh and bearings efficiency. Overall Efficiency from Shaft A to X is denoted by η_x symbol.

How to calculate Overall Efficiency from Shaft A to X using this online calculator? To use this online calculator for Overall Efficiency from Shaft A to X, enter Gear Efficiency (η) & Total no. of Gear Pairs (m) and hit the calculate button. Here is how the Overall Efficiency from Shaft A to X calculation can be explained with given input values -> 0.034264 = 0.82^17.

FAQ

What is Overall Efficiency from Shaft A to X?

The Overall efficiency From Shaft A to X, of a gearbox, depends mainly on the gear mesh and bearings efficiency and is represented as η_x = η^m or Overall Efficiency from Shaft A to X = Gear Efficiency^Total no. of Gear Pairs. Gear Efficiency is simply the ratio of output shaft power to the Input shaft power & Total no. of gear pairs, have m gear pairs each pair of teeth first make contact at a single point at one side of the gear wheel; a moving curve of contact then grows gradually.

How to calculate Overall Efficiency from Shaft A to X?

The Overall efficiency From Shaft A to X, of a gearbox, depends mainly on the gear mesh and bearings efficiency is calculated using Overall Efficiency from Shaft A to X = Gear Efficiency^Total no. of Gear Pairs. To calculate Overall Efficiency from Shaft A to X, you need Gear Efficiency (η) & Total no. of Gear Pairs (m). With our tool, you need to enter the respective value for Gear Efficiency & Total no. of Gear Pairs 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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