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Gear Ratio given Number of Teeth on Wheel and Pinion Formula

GoGear Ratio Formula

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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. Check FAQs

G = \frac{T}{Z p}

G - Gear Ratio?T - Number of Teeth on Wheel?Z_p - Number of Teeth on Pinion?

Gear Ratio given Number of Teeth on Wheel and Pinion Example

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Here is how the Gear Ratio given Number of Teeth on Wheel and Pinion equation looks like with Values.

Here is how the Gear Ratio given Number of Teeth on Wheel and Pinion equation looks like with Units.

Here is how the Gear Ratio given Number of Teeth on Wheel and Pinion equation looks like.

1.5 = \frac{12}{8}

1.5 = \frac{12}{8}

1.5 = \frac{12}{8}

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Gear Ratio given Number of Teeth on Wheel and Pinion Solution

Follow our step by step solution on how to calculate Gear Ratio given Number of Teeth on Wheel and Pinion?

FIRST Step Consider the formula

G = \frac{T}{Z p}

Next Step Substitute values of Variables

∴

G = \frac{12}{8}

Next Step Prepare to Evaluate

∴

G = \frac{12}{8}

LAST Step Evaluate

∴

G = 1.5

Gear Ratio given Number of Teeth on Wheel and Pinion Formula Elements

Variables

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.

Symbol: G

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Gear Ratio

Number of Teeth on Wheel

Number of teeth on wheel is the count of teeths on the wheel.

Symbol: T

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Number of Teeth on Wheel

Number of Teeth on Pinion

Number of teeth on pinion is the count of teeth on pinion.

Symbol: Z_p

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Teeth on Pinion

Other Formulas to find Gear Ratio

Go Gear Ratio

G = \frac{R wheel}{r}

Other formulas in Toothed Gear Terminologies category

Go Torque Exerted on Gear Shaft

τ = P t \cdot \frac{d pitch circle}{2}

Go Work Output on Driven

w = R \cdot \cos (α 2 + Φ) \cdot π \cdot d 2 \cdot N 2

Go Work Output on Driver

w = R \cdot \cos (α 1 - Φ) \cdot π \cdot d 1 \cdot N 1

Go Addendum of Pinion

A p = \frac{Z p}{2} \cdot (\sqrt{1 + \frac{T}{Z p} \cdot (\frac{T}{Z p} + 2) \cdot {(\sin (Φ gear))}^{2}} - 1)

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

Gear Ratio given Number of Teeth on Wheel and Pinion evaluator uses Gear Ratio = Number of Teeth on Wheel/Number of Teeth on Pinion to evaluate 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 evaluate Gear Ratio given Number of Teeth on Wheel and Pinion using this online evaluator? To use this online evaluator 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.

FAQs on Gear Ratio given Number of Teeth on Wheel and Pinion

What is the formula to find Gear Ratio given Number of Teeth on Wheel and Pinion?

The formula of Gear Ratio given Number of Teeth on Wheel and Pinion is expressed as Gear Ratio = Number of Teeth on Wheel/Number of Teeth on Pinion. Here is an example- 1.5 = 12/8.

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

With Number of Teeth on Wheel (T) & Number of Teeth on Pinion (Z_p) we can find Gear Ratio given Number of Teeth on Wheel and Pinion using the formula - Gear Ratio = Number of Teeth on Wheel/Number of Teeth on Pinion.

What are the other ways to Calculate Gear Ratio?

Here are the different ways to Calculate Gear Ratio-

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

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Gear Ratio given Number of Teeth on Wheel and Pinion Formula

​GoGear Ratio Formula

Gear Ratio given Number of Teeth on Wheel and Pinion Example

Gear Ratio given Number of Teeth on Wheel and Pinion Solution

Gear Ratio given Number of Teeth on Wheel and Pinion Formula Elements

Other Formulas to find Gear Ratio

Other formulas in Toothed Gear Terminologies category

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

FAQs on Gear Ratio given Number of Teeth on Wheel and Pinion

Variable Name

GoGear Ratio Formula