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Gear Ratio given Speed Formula

GoGear Ratio given Number of Teeth 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{n p}{n g}

G - Gear Ratio of Spur Gear?n_p - Speed of Spur Pinion?n_g - Speed of Spur Gear?

Gear Ratio given Speed Example

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Here is how the Gear Ratio given Speed equation looks like with Values.

Here is how the Gear Ratio given Speed equation looks like with Units.

Here is how the Gear Ratio given Speed equation looks like.

2.8 = \frac{28}{10}

2.8 = \frac{28rad/s}{10rad/s}

2.8 = \frac{28}{10}

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Gear Ratio given Speed Solution

Follow our step by step solution on how to calculate Gear Ratio given Speed?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

G = \frac{28rad/s}{10rad/s}

Next Step Prepare to Evaluate

∴

G = \frac{28}{10}

LAST Step Evaluate

∴

G = 2.8

Gear Ratio given Speed 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

Speed of Spur Pinion

Speed of Spur Pinion is the angular velocity of the gear (the smaller of a pair of gear wheels).

Symbol: n_p

Measurement: Angular VelocityUnit: rad/s

Note: Value should be greater than 0.

Formulas to find Speed of Spur Pinion

Speed of Spur Gear

Speed of Spur Gear is the angular velocity of the gear (the larger of a pair of gear wheels).

Symbol: n_g

Measurement: Angular VelocityUnit: rad/s

Note: Value should be greater than 0.

Formulas to find Speed of Spur Gear

Other Formulas to find Gear Ratio of Spur Gear

Go Gear Ratio given Number of Teeth

G = \frac{z}{z p}

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 Speed?

Gear Ratio given Speed evaluator uses Gear Ratio of Spur Gear = Speed of Spur Pinion/Speed of Spur Gear to evaluate the Gear Ratio of Spur Gear, The Gear ratio given speed formula is defined as the ratio of the speed of the pinion to that of gear. Gear Ratio of Spur Gear is denoted by G symbol.

How to evaluate Gear Ratio given Speed using this online evaluator? To use this online evaluator for Gear Ratio given Speed, enter Speed of Spur Pinion (n_p) & Speed of Spur Gear (n_g) and hit the calculate button.

FAQs on Gear Ratio given Speed

What is the formula to find Gear Ratio given Speed?

The formula of Gear Ratio given Speed is expressed as Gear Ratio of Spur Gear = Speed of Spur Pinion/Speed of Spur Gear. Here is an example- 2.8 = 28/10.

How to calculate Gear Ratio given Speed?

With Speed of Spur Pinion (n_p) & Speed of Spur Gear (n_g) we can find Gear Ratio given Speed using the formula - Gear Ratio of Spur Gear = Speed of Spur Pinion/Speed of Spur Gear.

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=Number of Teeth on Spur Gear/Number of Teeth on Pinion

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Gear Ratio given Speed Formula

​GoGear Ratio given Number of Teeth Formula

Gear Ratio given Speed Example

Gear Ratio given Speed Solution

Gear Ratio given Speed 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 Speed?

FAQs on Gear Ratio given Speed

Variable Name

GoGear Ratio given Number of Teeth Formula