Error in Gear system Calculator

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Design of Gears

Basics Of Machine Design

Design of Coupling

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Design of Spur Gears

Design of Bevel Gears

Design of Helical Gears

Design of Worm Gears

✖The Error in Gear is defined as the difference between the error in the system and the error in the pinion.ⓘ Error in Gear [e_g]			+10% -10%
✖The Error in Pinion is defined as the difference in the error of the system and the error of gear.ⓘ Error in Pinion [e_p]			+10% -10%

✖The Error in Gear System is defined as the sum of the error in gear and error in the pinion.ⓘ Error in Gear system [e]

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Formula

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Error in Gear system

Formula

`"e" = "e"_{"g"}+"e"_{"p"}`

Example

`"0.048mm"="0.025mm"+"0.023mm"`

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Download Design of Spur Gears Formulas PDF

Error in Gear system Solution

STEP 0: Pre-Calculation Summary

Formula Used

Error in Gear System = Error in Gear+Error in Pinion
e = e_g+e_p
This formula uses 3 Variables

Variables Used

Error in Gear System - (Measured in Meter) - The Error in Gear System is defined as the sum of the error in gear and error in the pinion.
Error in Gear - (Measured in Meter) - The Error in Gear is defined as the difference between the error in the system and the error in the pinion.
Error in Pinion - (Measured in Meter) - The Error in Pinion is defined as the difference in the error of the system and the error of gear.

STEP 1: Convert Input(s) to Base Unit

Error in Gear: 0.025 Millimeter --> 2.5E-05 Meter (Check conversion here)
Error in Pinion: 0.023 Millimeter --> 2.3E-05 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

e = e_g+e_p --> 2.5E-05+2.3E-05

Evaluating ... ...

e = 4.8E-05

STEP 3: Convert Result to Output's Unit

4.8E-05 Meter -->0.048 Millimeter (Check conversion here)

FINAL ANSWER

0.048 Millimeter <-- Error in Gear System

(Calculation completed in 00.004 seconds)

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National Institute of Technology (NIT), Tiruchirapalli

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< 25 Design of Spur Gears Calculators

Center to Center Distance between Spur Gears

Go Distance between Spur Gear Centres = Module of Spur Gear*((Number of Teeth on Pinion+Number of Teeth on Spur Gear)/2)

Circular Pitch of Gear given Diameter and Number of Teeth

Go Circular Pitch of Spur Gear = pi*Pitch Circle Diameter of Spur Gear/Number of Teeth on Spur Gear

Resultant Force on Gear

Go Resultant Force on Spur Gear = Tangential Force on Spur Gear/cos(Pressure Angle of Spur Gear)

Radial Force of Gear given Tangential Force and Pressure Angle

Go Radial Force on Spur Gear = Tangential Force on Spur Gear*tan(Pressure Angle of Spur Gear)

Tangential Force on Gear given Radial Force and Pressure Angle

Go Tangential Force on Spur Gear = Radial Force on Spur Gear*cot(Pressure Angle of Spur Gear)

Pitch Circle Diameter of holes of Medium Size Gear

Go Pitch Circle Diameter of Holes in Gear = (Inner Diameter of Rim of Spur Gear+Outer Diameter of Spur Gear Hub)/2

Diameter of Holes in Gear Web of Medium Size Diameter

Go Diameter of Holes in Spur Gear Web = (Inner Diameter of Rim of Spur Gear-Outer Diameter of Spur Gear Hub)/4

Inner Diameter of Rim of Large Size Gear

Go Inner Diameter of Rim of Spur Gear = Dedendum Circle Diameter of Spur Gear-2*Thickness of Spur Gear Rim

Torque Transmitted by Gear given Tangential Force and Pitch Circle Diameter

Go Torque transmitted by spur gear = Tangential Force on Spur Gear*Pitch Circle Diameter of Spur Gear/2

Addendum Circle Diameter of Medium Size Gear Diameter given Addendum

Go Addendum Circle Diameter of Spur Gear = Pitch Circle Diameter of Spur Gear+(2*Addendum of spur gear)

Tangential Force on Gear given Torque and Pitch Circle Diameter

Go Tangential Force on Spur Gear = 2*Torque transmitted by spur gear/Pitch Circle Diameter of Spur Gear

Dedendum Circle Diameter of Medium Size Gear given Dedundum

Go Dedendum Circle Diameter of Spur Gear = Pitch Circle Diameter of Spur Gear-(2*Dedundum of Spur Gear)

Diametral Pitch of Gear given Number of teeth and Pitch Circle Diameter

Go Diametral Pitch of Spur Gear = Number of Teeth on Spur Gear/Pitch Circle Diameter of Spur Gear

Dedendum Circle Diameter of Large Size Gear

Go Dedendum Circle Diameter of Spur Gear = Module of Spur Gear*(Number of Teeth on Spur Gear-2.5)

Addendum Circle Diameter of Large Size Gear

Go Addendum Circle Diameter of Spur Gear = Module of Spur Gear*(Number of Teeth on Spur Gear+2)

Pitch Circle Diameter of Gear given Module and Number of Teeth

Go Pitch Circle Diameter of Spur Gear = Module of Spur Gear*Number of Teeth on Spur Gear

Module of Gear given Pitch Circle Diameter

Go Module of Spur Gear = Pitch Circle Diameter of Spur Gear/Number of Teeth on Spur Gear

Maximum Torque of Gear given Service Factor

Go Maximum Torque on Spur Gear = Service Factor for Spur Gear*Rated Torque of Spur Gear

Service Factor for Gear given Torque

Go Service Factor for Spur Gear = Maximum Torque on Spur Gear/Rated Torque of Spur Gear

Gear Ratio given Number of Teeth

Go Gear Ratio of Spur Gear = Number of Teeth on Spur Gear/Number of Teeth on Pinion

Gear Ratio given Speed

Go Gear Ratio of Spur Gear = Speed of Spur Pinion/Speed of Spur Gear

Diametral Pitch of Gear given Circular Pitch

Go Diametral Pitch of Spur Gear = pi/Circular Pitch of Spur Gear

Outer Diameter of Hub of Large Size Gear

Go Outer Diameter of Spur Gear Hub = 2*Diameter of Spur Gear Shaft

Thickness of Rim of Large Size Gear

Go Thickness of Spur Gear Rim = 0.56*Circular Pitch of Spur Gear

Module of Gear given Diametral Pitch

Go Module of Spur Gear = 1/Diametral Pitch of Spur Gear

Error in Gear system Formula

Error in Gear System = Error in Gear+Error in Pinion
e = e_g+e_p

What is a gear?

Gears are defined as toothed wheels or multilobed-cams, which transmit power and motion from one shaft to another by means of successive engagement of teeth.

How to Calculate Error in Gear system?

Error in Gear system calculator uses Error in Gear System = Error in Gear+Error in Pinion to calculate the Error in Gear System, Error in Gear system is defined as the sum of the error in the gear and error in the pinion. Error in Gear System is denoted by e symbol.

How to calculate Error in Gear system using this online calculator? To use this online calculator for Error in Gear system, enter Error in Gear (e_g) & Error in Pinion (e_p) and hit the calculate button. Here is how the Error in Gear system calculation can be explained with given input values -> 48 = 2.5E-05+2.3E-05.

FAQ

What is Error in Gear system?

Error in Gear system is defined as the sum of the error in the gear and error in the pinion and is represented as e = e_g+e_p or Error in Gear System = Error in Gear+Error in Pinion. The Error in Gear is defined as the difference between the error in the system and the error in the pinion & The Error in Pinion is defined as the difference in the error of the system and the error of gear.

How to calculate Error in Gear system?

Error in Gear system is defined as the sum of the error in the gear and error in the pinion is calculated using Error in Gear System = Error in Gear+Error in Pinion. To calculate Error in Gear system, you need Error in Gear (e_g) & Error in Pinion (e_p). With our tool, you need to enter the respective value for Error in Gear & Error in Pinion 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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