Gear Ratio given Number of Teeth Calculator

✖Number of Teeth on Spur Gear is defined as the number of teeth (which mesh with another compatible toothed part to transmit or convert torque and speed) on a specimen or part under consideration.ⓘ Number of Teeth on Spur Gear [z]			+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%

✖Gear Ratio of Spur Gear 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 given Number of Teeth [G]

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Gear Ratio given Number of Teeth Solution

STEP 0: Pre-Calculation Summary

Formula Used

Gear Ratio of Spur Gear = Number of Teeth on Spur Gear/Number of Teeth on Pinion
G = z/z_p
This formula uses 3 Variables

Variables Used

Gear Ratio of Spur Gear - Gear Ratio of Spur Gear 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.
Number of Teeth on Spur Gear - Number of Teeth on Spur Gear is defined as the number of teeth (which mesh with another compatible toothed part to transmit or convert torque and speed) on a specimen or part under consideration.
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 on Spur Gear: 30 --> No Conversion Required
Number of Teeth on Pinion: 12 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

G = z/z_p --> 30/12

Evaluating ... ...

G = 2.5

STEP 3: Convert Result to Output's Unit

2.5 --> No Conversion Required

FINAL ANSWER

2.5 <-- Gear Ratio of Spur Gear

(Calculation completed in 00.004 seconds)

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Created by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

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< 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

Gear Ratio given Number of Teeth Formula

LaTeX Go

Gear Ratio of Spur Gear = Number of Teeth on Spur Gear/Number of Teeth on Pinion
G = z/z_p

What is a gear?

Gears are defined as toothed wheels or multilobed-cams, which transmit power and motion from one shaft to another by means of successive engagement of teeth.

How to Calculate Gear Ratio given Number of Teeth?

Gear Ratio given Number of Teeth calculator uses Gear Ratio of Spur Gear = Number of Teeth on Spur Gear/Number of Teeth on Pinion to calculate the Gear Ratio of Spur Gear, Gear Ratio given Number of Teeth is defined as the ratio of the speed of gears or the ratio of the number of teeth on them. Gear Ratio of Spur Gear is denoted by G symbol.

How to calculate Gear Ratio given Number of Teeth using this online calculator? To use this online calculator for Gear Ratio given Number of Teeth, enter Number of Teeth on Spur Gear (z) & Number of Teeth on Pinion (z_p) and hit the calculate button. Here is how the Gear Ratio given Number of Teeth calculation can be explained with given input values -> 2.5 = 30/12.

FAQ

What is Gear Ratio given Number of Teeth?

Gear Ratio given Number of Teeth is defined as the ratio of the speed of gears or the ratio of the number of teeth on them and is represented as G = z/z_p or Gear Ratio of Spur Gear = Number of Teeth on Spur Gear/Number of Teeth on Pinion. Number of Teeth on Spur Gear is defined as the number of teeth (which mesh with another compatible toothed part to transmit or convert torque and speed) on a specimen or part under consideration & 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 Gear Ratio given Number of Teeth?

Gear Ratio given Number of Teeth is defined as the ratio of the speed of gears or the ratio of the number of teeth on them is calculated using Gear Ratio of Spur Gear = Number of Teeth on Spur Gear/Number of Teeth on Pinion. To calculate Gear Ratio given Number of Teeth, you need Number of Teeth on Spur Gear (z) & Number of Teeth on Pinion (z_p). With our tool, you need to enter the respective value for Number of Teeth on Spur 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 Gear Ratio of Spur Gear?

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

Gear Ratio of Spur Gear = Speed of Spur Pinion/Speed of Spur Gear

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