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Gear Ratio given Number of Teeth Formula

GoGear Ratio given Speed Formula

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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. Check FAQs

G = \frac{z}{z p}

G - Gear Ratio of Spur Gear?z - Number of Teeth on Spur Gear?z_p - Number of Teeth on Pinion?

Gear Ratio given Number of Teeth Example

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

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

Here is how the Gear Ratio given Number of Teeth equation looks like.

2.5 = \frac{30}{12}

2.5 = \frac{30}{12}

2.5 = \frac{30}{12}

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Gear Ratio given Number of Teeth Solution

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

FIRST Step Consider the formula

G = \frac{z}{z p}

Next Step Substitute values of Variables

∴

G = \frac{30}{12}

Next Step Prepare to Evaluate

∴

G = \frac{30}{12}

LAST Step Evaluate

∴

G = 2.5

Gear Ratio given Number of Teeth Formula Elements

Variables

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.

Symbol: G

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Gear Ratio of Spur Gear

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.

Symbol: z

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Teeth on Spur Gear

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.

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 of Spur Gear

Go Gear Ratio given Speed

G = \frac{n p}{n g}

Other formulas in Parameters of Spur Gear category

Go Circular Pitch of Gear given Diameter and Number of Teeth

P c = π \cdot \frac{d}{z}

Go Diametral Pitch of Gear given Number of teeth and Pitch Circle Diameter

P d = \frac{z}{d}

Go Diametral Pitch of Gear given Circular Pitch

P d = \frac{π}{P c}

Go Module of Gear given Diametral Pitch

m = \frac{1}{P d}

How to Evaluate Gear Ratio given Number of Teeth?

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

FAQs on Gear Ratio given Number of Teeth

What is the formula to find Gear Ratio given Number of Teeth?

The formula of Gear Ratio given Number of Teeth is expressed as Gear Ratio of Spur Gear = Number of Teeth on Spur Gear/Number of Teeth on Pinion. Here is an example- 2.5 = 30/12.

How to calculate Gear Ratio given Number of Teeth?

With Number of Teeth on Spur Gear (z) & Number of Teeth on Pinion (z_p) we can find Gear Ratio given Number of Teeth using the formula - Gear Ratio of Spur Gear = Number of Teeth on Spur Gear/Number of Teeth on Pinion.

What are the other ways to Calculate Gear Ratio of Spur Gear?

Here are the different ways to Calculate Gear Ratio of Spur Gear-

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

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Gear Ratio given Number of Teeth Formula

​GoGear Ratio given Speed Formula

Gear Ratio given Number of Teeth Example

Gear Ratio given Number of Teeth Solution

Gear Ratio given Number of Teeth Formula Elements

Other Formulas to find Gear Ratio of Spur Gear

Other formulas in Parameters of Spur Gear category

How to Evaluate Gear Ratio given Number of Teeth?

FAQs on Gear Ratio given Number of Teeth

Variable Name

GoGear Ratio given Speed Formula