Ratio Factor for Internal Gears 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 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 Spur Pinion is the total number of teeth on the periphery of the smaller gear or also known as the pinion.ⓘ Number of Teeth on Spur 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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Formula

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Ratio Factor for Internal Gears

Formula

`"Q"_{"g"} = 2*"Z"_{"g"}/("Z"_{"g"}-"z"_{"p"})`

Example

`"3.333333"=2*"30"/("30"-"12")`

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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 Spur 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 Spur Pinion - Number of Teeth on Spur 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 Spur 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 » Ratio Factor for Internal Gears

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Created by Ojas Kulkarni

Sardar Patel College of Engineering (SPCE), Mumbai

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

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

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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

Ratio Factor for Internal Gears Formula

Ratio Factor = 2*Number of Teeth of Gear/(Number of Teeth of Gear-Number of Teeth on Spur 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 Spur 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 Spur 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 Spur Pinion). The number of teeth of Gear is defined as the number of teeth on gear & Number of Teeth on Spur 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 Spur Pinion). To calculate Ratio Factor for Internal Gears, you need Number of Teeth of Gear (Z_g) & Number of Teeth on Spur Pinion (z_p). With our tool, you need to enter the respective value for Number of Teeth of Gear & Number of Teeth on Spur 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 Spur 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 Spur Pinion)

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