Gear Ratio given Number of Teeth on Wheel and Pinion Calculator

✖Number of teeth on wheel is the count of teeths on the wheel.ⓘ Number of Teeth on Wheel [T]			+10% -10%
✖Number of teeth on pinion is the count of teeth on pinion.ⓘ Number of Teeth on Pinion [Z_p]			+10% -10%

✖The Gear Ratio 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 on Wheel and Pinion [G]

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Gear Ratio given Number of Teeth on Wheel and Pinion Solution

STEP 0: Pre-Calculation Summary

Formula Used

Gear Ratio = Number of Teeth on Wheel/Number of Teeth on Pinion
G = T/Z_p
This formula uses 3 Variables

Variables Used

Gear Ratio - The Gear Ratio 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 Wheel - Number of teeth on wheel is the count of teeths on the wheel.
Number of Teeth on Pinion - Number of teeth on pinion is the count of teeth on pinion.

STEP 1: Convert Input(s) to Base Unit

Number of Teeth on Wheel: 12 --> No Conversion Required
Number of Teeth on Pinion: 8 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

G = T/Z_p --> 12/8

Evaluating ... ...

G = 1.5

STEP 3: Convert Result to Output's Unit

1.5 --> No Conversion Required

FINAL ANSWER

1.5 <-- Gear Ratio

(Calculation completed in 00.004 seconds)

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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< Toothed Gear Terminologies Calculators

Addendum of Pinion

LaTeX Go Addendum of Pinion = Number of Teeth on Pinion/2*(sqrt(1+Number of Teeth on Wheel/Number of Teeth on Pinion*(Number of Teeth on Wheel/Number of Teeth on Pinion+2)*(sin(Pressure Angle of Gear))^2)-1)

Work Output on Driven

LaTeX Go Work Output = Resultant Reaction at Point of Contact*cos(Spiral Angle of Gear Teeth for Gear 2+Angle of Friction)*pi*Pitch Circle Diameter of Gear 2*Speed of Gear 2

Work Output on Driver

LaTeX Go Work Output = Resultant Reaction at Point of Contact*cos(Spiral Angle of Gear Teeth for Gear 1-Angle of Friction)*pi*Pitch Circle Diameter of Gear 1*Speed of Gear 1

Torque Exerted on Gear Shaft

LaTeX Go Torque Exerted on Wheel = Tangential Force*Diameter of Pitch Circle/2

Gear Ratio given Number of Teeth on Wheel and Pinion Formula

LaTeX Go

Gear Ratio = Number of Teeth on Wheel/Number of Teeth on Pinion
G = T/Z_p

What is a good gearing ratio?

A gearing ratio higher than 50% is typically considered highly levered or geared. A gearing ratio lower than 25% is typically considered low-risk by both investors and lenders. A gearing ratio between 25% and 50% is typically considered optimal or normal for well-established companies.

How to Calculate Gear Ratio given Number of Teeth on Wheel and Pinion?

Gear Ratio given Number of Teeth on Wheel and Pinion calculator uses Gear Ratio = Number of Teeth on Wheel/Number of Teeth on Pinion to calculate the Gear Ratio, Gear Ratio given Number of Teeth on Wheel and Pinion formula is defined as a dimensionless value that expresses the speed ratio of two interconnected gears, specifically the wheel and the pinion, which is crucial in determining the mechanical advantage and torque multiplication in a gear system. Gear Ratio is denoted by G symbol.

How to calculate Gear Ratio given Number of Teeth on Wheel and Pinion using this online calculator? To use this online calculator for Gear Ratio given Number of Teeth on Wheel and Pinion, enter Number of Teeth on Wheel (T) & Number of Teeth on Pinion (Z_p) and hit the calculate button. Here is how the Gear Ratio given Number of Teeth on Wheel and Pinion calculation can be explained with given input values -> 1.5 = 12/8.

FAQ

What is Gear Ratio given Number of Teeth on Wheel and Pinion?

Gear Ratio given Number of Teeth on Wheel and Pinion formula is defined as a dimensionless value that expresses the speed ratio of two interconnected gears, specifically the wheel and the pinion, which is crucial in determining the mechanical advantage and torque multiplication in a gear system and is represented as G = T/Z_p or Gear Ratio = Number of Teeth on Wheel/Number of Teeth on Pinion. Number of teeth on wheel is the count of teeths on the wheel & Number of teeth on pinion is the count of teeth on pinion.

How to calculate Gear Ratio given Number of Teeth on Wheel and Pinion?

Gear Ratio given Number of Teeth on Wheel and Pinion formula is defined as a dimensionless value that expresses the speed ratio of two interconnected gears, specifically the wheel and the pinion, which is crucial in determining the mechanical advantage and torque multiplication in a gear system is calculated using Gear Ratio = Number of Teeth on Wheel/Number of Teeth on Pinion. To calculate Gear Ratio given Number of Teeth on Wheel and Pinion, you need Number of Teeth on Wheel (T) & Number of Teeth on Pinion (Z_p). With our tool, you need to enter the respective value for Number of Teeth on Wheel & 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?

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

Gear Ratio = Radius of Pitch Circle of Wheel/Radius of Pitch Circle of Pinion

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