Gear Tooth Ratio Calculator

✖Number 1 of Teeth of Driving Gear is the gear that transmits the rotational motion of a motor or other device through the drive shaft is called the driving gear.ⓘ Number 1 of Teeth of Driving Gear [n₁]			+10% -10%
✖Number 2 of Teeth of Driven Gear is the gear that is rotated by the driving gear amongst a pair of gears that engage each other is called the driven gear.ⓘ Number 2 of Teeth of Driven Gear [n₂]			+10% -10%

✖Gear Tooth Ratio is calculated by dividing the number of teeth of the driving gear by the number of teeth of the driven gear.ⓘ Gear Tooth Ratio [a_gear]

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Formula

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Gear Tooth Ratio

Formula

`"a"_{"gear"} = "n"_{"1"}/"n"_{"2"}`

Example

`"3"="60"/"20"`

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Gear Tooth Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Gear Tooth Ratio = Number 1 of Teeth of Driving Gear/Number 2 of Teeth of Driven Gear
a_gear = n₁/n₂
This formula uses 3 Variables

Variables Used

Gear Tooth Ratio - Gear Tooth Ratio is calculated by dividing the number of teeth of the driving gear by the number of teeth of the driven gear.
Number 1 of Teeth of Driving Gear - Number 1 of Teeth of Driving Gear is the gear that transmits the rotational motion of a motor or other device through the drive shaft is called the driving gear.
Number 2 of Teeth of Driven Gear - Number 2 of Teeth of Driven Gear is the gear that is rotated by the driving gear amongst a pair of gears that engage each other is called the driven gear.

STEP 1: Convert Input(s) to Base Unit

Number 1 of Teeth of Driving Gear: 60 --> No Conversion Required
Number 2 of Teeth of Driven Gear: 20 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a_gear = n₁/n₂ --> 60/20

Evaluating ... ...

a_gear = 3

STEP 3: Convert Result to Output's Unit

3 --> No Conversion Required

FINAL ANSWER

3 <-- Gear Tooth Ratio

(Calculation completed in 00.004 seconds)

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Credits

Created by Jaffer Ahmad Khan

College Of Engineering, Pune (COEP), Pune

Jaffer Ahmad Khan has created this Calculator and 10+ more calculators!

Verified by Parminder Singh

Chandigarh University (CU), Punjab

Parminder Singh has verified this Calculator and 600+ more calculators!

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Gear Tooth Ratio Formula

Gear Tooth Ratio = Number 1 of Teeth of Driving Gear/Number 2 of Teeth of Driven Gear
a_gear = n₁/n₂

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How to Calculate Gear Tooth Ratio?

Gear Tooth Ratio calculator uses Gear Tooth Ratio = Number 1 of Teeth of Driving Gear/Number 2 of Teeth of Driven Gear to calculate the Gear Tooth Ratio, Gear Tooth Ratio is calculated by dividing the number of teeth of the driving gear by the number of teeth of the driven gear. Gear Tooth Ratio is denoted by a_gear symbol.

How to calculate Gear Tooth Ratio using this online calculator? To use this online calculator for Gear Tooth Ratio, enter Number 1 of Teeth of Driving Gear (n₁) & Number 2 of Teeth of Driven Gear (n₂) and hit the calculate button. Here is how the Gear Tooth Ratio calculation can be explained with given input values -> 3 = 60/20.

FAQ

What is Gear Tooth Ratio?

Gear Tooth Ratio is calculated by dividing the number of teeth of the driving gear by the number of teeth of the driven gear and is represented as a_gear = n₁/n₂ or Gear Tooth Ratio = Number 1 of Teeth of Driving Gear/Number 2 of Teeth of Driven Gear. Number 1 of Teeth of Driving Gear is the gear that transmits the rotational motion of a motor or other device through the drive shaft is called the driving gear & Number 2 of Teeth of Driven Gear is the gear that is rotated by the driving gear amongst a pair of gears that engage each other is called the driven gear.

How to calculate Gear Tooth Ratio?

Gear Tooth Ratio is calculated by dividing the number of teeth of the driving gear by the number of teeth of the driven gear is calculated using Gear Tooth Ratio = Number 1 of Teeth of Driving Gear/Number 2 of Teeth of Driven Gear. To calculate Gear Tooth Ratio, you need Number 1 of Teeth of Driving Gear (n₁) & Number 2 of Teeth of Driven Gear (n₂). With our tool, you need to enter the respective value for Number 1 of Teeth of Driving Gear & Number 2 of Teeth of Driven Gear 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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