LCM of two numbers

Ratio Factor for External Gears Calculator

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

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Formula

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Ratio Factor for External Gears

Formula

Q g = 2 \cdot \frac{Z g}{Z g + z p}

Example

1.428571 = 2 \cdot \frac{30}{30 + 12}

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Ratio Factor for External Gears Solution

STEP 0: Pre-Calculation Summary

Formula Used

Ratio Factor = 2*Number of Teeth of Gear/(Number of Teeth of Gear+Numbers 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.
Numbers of Teeth on Spur Pinion - Numbers 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
Numbers 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 = 1.42857142857143

STEP 3: Convert Result to Output's Unit

1.42857142857143 --> No Conversion Required

FINAL ANSWER

1.42857142857143 ≈ 1.428571 <-- Ratio Factor

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Machine Elements » Design of Gears » Mechanical » Design of Spur Gears » Ratio Factor for External 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 Vishal Anand

Indian Institute of Technology Kharagpur (IIT KGP), Kharagpur

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< 5 Design of Spur Gears Calculators

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

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

Module of Gear given Pitch Circle Diameter

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

Diametral Pitch of Gear given Circular Pitch

Go Diametral Pitch of Spur Gear = pi/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 External Gears Formula

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

What are external gears?

An external gear is a gear which has its teeth formed on the outer surface of a cylinder or cone. The teeth of an external spur gear point outwards the center.

How to Calculate Ratio Factor for External Gears?

Ratio Factor for External Gears calculator uses Ratio Factor = 2*Number of Teeth of Gear/(Number of Teeth of Gear+Numbers of Teeth on Spur Pinion) to calculate the Ratio Factor, Ratio factor for external gears is defined as the ratio of number of teeth on gear to the sum of number of teeth on gear and pinion. Ratio Factor is denoted by Q_g symbol.

How to calculate Ratio Factor for External Gears using this online calculator? To use this online calculator for Ratio Factor for External Gears, enter Number of Teeth of Gear (Z_g) & Numbers of Teeth on Spur Pinion (z_p) and hit the calculate button. Here is how the Ratio Factor for External Gears calculation can be explained with given input values -> 1.428571 = 2*30/(30+12).

FAQ

What is Ratio Factor for External Gears?

Ratio factor for external gears is defined as the ratio of number of teeth on gear to the sum 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+Numbers of Teeth on Spur Pinion). The number of teeth of Gear is defined as the number of teeth on gear & Numbers 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 External Gears?

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

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