Gear Ratio Calculator

✖Radius of pitch circle of wheel is radial distance of the tooth measuring from the pitch circle to the bottom of the tooth space.ⓘ Radius of Pitch Circle of Wheel [R_wheel]			+10% -10%
✖The Radius of Pitch Circle of Pinion is the radial distance of the tooth measuring from the pitch circle to the bottom of the tooth space.ⓘ Radius of Pitch Circle of Pinion [r]			+10% -10%

✖The Gear Ratio is the ratio of output gear speed to the input gear speed or the ratio of number of teeth on gear to that on the pinion.ⓘ Gear Ratio [G]

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Gear Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Gear Ratio = Radius of Pitch Circle of Wheel/Radius of Pitch Circle of Pinion
G = R_wheel/r
This formula uses 3 Variables

Variables Used

Gear Ratio - The Gear Ratio is the ratio of output gear speed to the input gear speed or the ratio of number of teeth on gear to that on the pinion.
Radius of Pitch Circle of Wheel - (Measured in Meter) - Radius of pitch circle of wheel is radial distance of the tooth measuring from the pitch circle to the bottom of the tooth space.
Radius of Pitch Circle of Pinion - (Measured in Meter) - The Radius of Pitch Circle of Pinion is the radial distance of the tooth measuring from the pitch circle to the bottom of the tooth space.

STEP 1: Convert Input(s) to Base Unit

Radius of Pitch Circle of Wheel: 12.4 Millimeter --> 0.0124 Meter (Check conversion here)
Radius of Pitch Circle of Pinion: 10.2 Millimeter --> 0.0102 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

G = R_wheel/r --> 0.0124/0.0102

Evaluating ... ...

G = 1.2156862745098

STEP 3: Convert Result to Output's Unit

1.2156862745098 --> No Conversion Required

FINAL ANSWER

1.2156862745098 ≈ 1.215686 <-- Gear Ratio

(Calculation completed in 00.004 seconds)

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has created this Calculator and 2000+ more calculators!

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< Toothed Gear Terminologies Calculators

Addendum of Pinion

LaTeX Go Addendum of Pinion = Number of Teeth on Pinion/2*(sqrt(1+Number of Teeth on Wheel/Number of Teeth on Pinion*(Number of Teeth on Wheel/Number of Teeth on Pinion+2)*(sin(Pressure Angle of Gear))^2)-1)

Work Output on Driven

LaTeX Go Work Output = Resultant Reaction at Point of Contact*cos(Spiral Angle of Gear Teeth for Gear 2+Angle of Friction)*pi*Pitch Circle Diameter of Gear 2*Speed of Gear 2

Work Output on Driver

LaTeX Go Work Output = Resultant Reaction at Point of Contact*cos(Spiral Angle of Gear Teeth for Gear 1-Angle of Friction)*pi*Pitch Circle Diameter of Gear 1*Speed of Gear 1

Torque Exerted on Gear Shaft

LaTeX Go Torque Exerted on Wheel = Tangential Force*Diameter of Pitch Circle/2

Gear Ratio Formula

LaTeX Go

Gear Ratio = Radius of Pitch Circle of Wheel/Radius of Pitch Circle of Pinion
G = R_wheel/r

What is a good gearing ratio?

A gearing ratio higher than 50% is typically considered highly levered or geared. A gearing ratio lower than 25% is typically considered low-risk by both investors and lenders. A gearing ratio between 25% and 50% is typically considered optimal or normal for well-established companies.

How to Calculate Gear Ratio?

Gear Ratio calculator uses Gear Ratio = Radius of Pitch Circle of Wheel/Radius of Pitch Circle of Pinion to calculate the Gear Ratio, Gear Ratio formula is defined as a measure of the ratio of the rotational speed of the wheel gear to that of the pinion gear in a toothed gear system, providing a fundamental characteristic of the gear train's overall performance and efficiency. Gear Ratio is denoted by G symbol.

How to calculate Gear Ratio using this online calculator? To use this online calculator for Gear Ratio, enter Radius of Pitch Circle of Wheel (R_wheel) & Radius of Pitch Circle of Pinion (r) and hit the calculate button. Here is how the Gear Ratio calculation can be explained with given input values -> 1.215686 = 0.0124/0.0102.

FAQ

What is Gear Ratio?

Gear Ratio formula is defined as a measure of the ratio of the rotational speed of the wheel gear to that of the pinion gear in a toothed gear system, providing a fundamental characteristic of the gear train's overall performance and efficiency and is represented as G = R_wheel/r or Gear Ratio = Radius of Pitch Circle of Wheel/Radius of Pitch Circle of Pinion. Radius of pitch circle of wheel is radial distance of the tooth measuring from the pitch circle to the bottom of the tooth space & The Radius of Pitch Circle of Pinion is the radial distance of the tooth measuring from the pitch circle to the bottom of the tooth space.

How to calculate Gear Ratio?

Gear Ratio formula is defined as a measure of the ratio of the rotational speed of the wheel gear to that of the pinion gear in a toothed gear system, providing a fundamental characteristic of the gear train's overall performance and efficiency is calculated using Gear Ratio = Radius of Pitch Circle of Wheel/Radius of Pitch Circle of Pinion. To calculate Gear Ratio, you need Radius of Pitch Circle of Wheel (R_wheel) & Radius of Pitch Circle of Pinion (r). With our tool, you need to enter the respective value for Radius of Pitch Circle of Wheel & Radius of Pitch Circle of Pinion 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 Gear Ratio?

In this formula, Gear Ratio uses Radius of Pitch Circle of Wheel & Radius of Pitch Circle of Pinion. We can use 1 other way(s) to calculate the same, which is/are as follows -

Gear Ratio = Number of Teeth on Wheel/Number of Teeth on Pinion

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