Ratio Factor for Internal Gears Calculator

✖The number of teeth of Gear is defined as the number of teeth on gear.ⓘ Number of Teeth of Gear [Z_g]			+10% -10%
✖Number of Teeth on Pinion is the total number of teeth on the periphery of the smaller gear or also known as the pinion.ⓘ Number of Teeth on Pinion [z_p]			+10% -10%

✖The Ratio Factor for Gear is the ratio of twice gear teeth to the sum of gear and pinion of gear teeth, considering a formative number of teeth.ⓘ Ratio Factor for Internal Gears [Q_g]

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Ratio Factor for Internal Gears Solution

STEP 0: Pre-Calculation Summary

Formula Used

Ratio Factor = 2*Number of Teeth of Gear/(Number of Teeth of Gear-Number of Teeth on Pinion)
Q_g = 2*Z_g/(Z_g-z_p)
This formula uses 3 Variables

Variables Used

Ratio Factor - The Ratio Factor for Gear is the ratio of twice gear teeth to the sum of gear and pinion of gear teeth, considering a formative number of teeth.
Number of Teeth of Gear - The number of teeth of Gear is defined as the number of teeth on gear.
Number of Teeth on Pinion - Number of Teeth on Pinion is the total number of teeth on the periphery of the smaller gear or also known as the pinion.

STEP 1: Convert Input(s) to Base Unit

Number of Teeth of Gear: 30 --> No Conversion Required
Number of Teeth on Pinion: 12 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q_g = 2*Z_g/(Z_g-z_p) --> 2*30/(30-12)

Evaluating ... ...

Q_g = 3.33333333333333

STEP 3: Convert Result to Output's Unit

3.33333333333333 --> No Conversion Required

FINAL ANSWER

3.33333333333333 ≈ 3.333333 <-- Ratio Factor

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Machine Elements » Design of Gears » Design of Spur Gears » Mechanical » Parameters of Spur Gear » Ratio Factor for Internal Gears

Credits

Created by Ojas Kulkarni

Sardar Patel College of Engineering (SPCE), Mumbai

Ojas Kulkarni has created this Calculator and 10+ more calculators!

Verified by sanjay shiva

national institute of technology hamirpur (NITH ), hamirpur , himachal pradesh

sanjay shiva has verified this Calculator and 100+ more calculators!

< Parameters of Spur Gear Calculators

Circular Pitch of Gear given Diameter and Number of Teeth

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

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

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

Diametral Pitch of Gear given Circular Pitch

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

Module of Gear given Diametral Pitch

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

Ratio Factor for Internal Gears Formula

LaTeX Go

Ratio Factor = 2*Number of Teeth of Gear/(Number of Teeth of Gear-Number of Teeth on Pinion)
Q_g = 2*Z_g/(Z_g-z_p)

What are internal gears?

An internal gear is a gear which has its teeth formed on the inner surface of a cylinder or cone. The teeth of an internal spur gear point inwards the center.

How to Calculate Ratio Factor for Internal Gears?

Ratio Factor for Internal Gears calculator uses Ratio Factor = 2*Number of Teeth of Gear/(Number of Teeth of Gear-Number of Teeth on Pinion) to calculate the Ratio Factor, The ratio factor for internal gears is defined as the ratio of number of teeth on gear to the difference of number of teeth on gear and pinion. Ratio Factor is denoted by Q_g symbol.

How to calculate Ratio Factor for Internal Gears using this online calculator? To use this online calculator for Ratio Factor for Internal Gears, enter Number of Teeth of Gear (Z_g) & Number of Teeth on Pinion (z_p) and hit the calculate button. Here is how the Ratio Factor for Internal Gears calculation can be explained with given input values -> 3.333333 = 2*30/(30-12).

FAQ

What is Ratio Factor for Internal Gears?

The ratio factor for internal gears is defined as the ratio of number of teeth on gear to the difference of number of teeth on gear and pinion and is represented as Q_g = 2*Z_g/(Z_g-z_p) or Ratio Factor = 2*Number of Teeth of Gear/(Number of Teeth of Gear-Number of Teeth on Pinion). The number of teeth of Gear is defined as the number of teeth on gear & Number of Teeth on Pinion is the total number of teeth on the periphery of the smaller gear or also known as the pinion.

How to calculate Ratio Factor for Internal Gears?

The ratio factor for internal gears is defined as the ratio of number of teeth on gear to the difference of number of teeth on gear and pinion is calculated using Ratio Factor = 2*Number of Teeth of Gear/(Number of Teeth of Gear-Number of Teeth on Pinion). To calculate Ratio Factor for Internal Gears, you need Number of Teeth of Gear (Z_g) & Number of Teeth on Pinion (z_p). With our tool, you need to enter the respective value for Number of Teeth of Gear & Number of Teeth on 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 Ratio Factor?

In this formula, Ratio Factor uses Number of Teeth of Gear & Number of Teeth on Pinion. We can use 1 other way(s) to calculate the same, which is/are as follows -

Ratio Factor = 2*Number of Teeth of Gear/(Number of Teeth of Gear+Number of Teeth on Pinion)

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