## 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+Number of Teeth on Spur Pinion)
Qg = 2*Zg/(Zg+zp)
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
Qg = 2*Zg/(Zg+zp) --> 2*30/(30+12)
Evaluating ... ...
Qg = 1.42857142857143
STEP 3: Convert Result to Output's Unit
1.42857142857143 --> No Conversion Required
1.42857142857143 1.428571 <-- Ratio Factor
(Calculation completed in 00.004 seconds)
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## Credits

Created by Ojas Kulkarni
Sardar Patel College of Engineering (SPCE), Mumbai
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Verified by Vishal Anand
Indian Institute of Technology Kharagpur (IIT KGP), Kharagpur
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## < 25 Design of Spur Gears Calculators

Center to Center Distance between Spur Gears
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
Circular Pitch of Spur Gear = pi*Pitch Circle Diameter of Spur Gear/Number of Teeth on Spur Gear
Resultant Force on Gear
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
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
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
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
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
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
Torque transmitted by spur gear = Tangential Force on Spur Gear*Pitch Circle Diameter of Spur Gear/2
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
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
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
Diametral Pitch of Spur Gear = Number of Teeth on Spur Gear/Pitch Circle Diameter of Spur Gear
Dedendum Circle Diameter of Large Size Gear
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
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
Pitch Circle Diameter of Spur Gear = Module of Spur Gear*Number of Teeth on Spur Gear
Module of Gear given Pitch Circle Diameter
Module of Spur Gear = Pitch Circle Diameter of Spur Gear/Number of Teeth on Spur Gear
Maximum Torque of Gear given Service Factor
Maximum Torque on Spur Gear = Service Factor for Spur Gear*Rated Torque of Spur Gear
Service Factor for Gear given Torque
Service Factor for Spur Gear = Maximum Torque on Spur Gear/Rated Torque of Spur Gear
Gear Ratio given Number of Teeth
Gear Ratio of Spur Gear = Number of Teeth on Spur Gear/Number of Teeth on Pinion
Gear Ratio given Speed
Gear Ratio of Spur Gear = Speed of Spur Pinion/Speed of Spur Gear
Diametral Pitch of Gear given Circular Pitch
Diametral Pitch of Spur Gear = pi/Circular Pitch of Spur Gear
Outer Diameter of Hub of Large Size Gear
Outer Diameter of Spur Gear Hub = 2*Diameter of Spur Gear Shaft
Thickness of Rim of Large Size Gear
Thickness of Spur Gear Rim = 0.56*Circular Pitch of Spur Gear
Module of Gear given Diametral Pitch
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+Number of Teeth on Spur Pinion)
Qg = 2*Zg/(Zg+zp)

## 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+Number 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 Qg 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 (Zg) & Number of Teeth on Spur Pinion (zp) 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 Qg = 2*Zg/(Zg+zp) 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 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+Number of Teeth on Spur Pinion). To calculate Ratio Factor for External Gears, you need Number of Teeth of Gear (Zg) & Number of Teeth on Spur Pinion (zp). 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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