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Number of Teeth on Pinion given Speed Ratio Formula

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Number of Teeth on Helical Pinion is the count of teeth on the smaller gear of the pair of a helical gear. Check FAQs

Z p = \frac{z}{i}

Z_p - Number of Teeth on Helical Pinion?z - Number of Teeth on Helical Gear?i - Helical Gear Speed Ratio?

Number of Teeth on Pinion given Speed Ratio Example

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

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

Here is how the Number of Teeth on Pinion given Speed Ratio equation looks like.

16.8182 = \frac{37}{2.2}

16.8182 = \frac{37}{2.2}

16.8182 = \frac{37}{2.2}

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Number of Teeth on Pinion given Speed Ratio Solution

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

FIRST Step Consider the formula

Z p = \frac{z}{i}

Next Step Substitute values of Variables

∴

Z p = \frac{37}{2.2}

Next Step Prepare to Evaluate

∴

Z p = \frac{37}{2.2}

Next Step Evaluate

∴

Z p = 16.8181818181818

LAST Step Rounding Answer

∴

Z p = 16.8182

Number of Teeth on Pinion given Speed Ratio Formula Elements

Variables

Number of Teeth on Helical Pinion

Number of Teeth on Helical Pinion is the count of teeth on the smaller gear of the pair of a helical gear.

Symbol: Z_p

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Teeth on Helical Pinion

Number of Teeth on Helical Gear

Number of Teeth on Helical 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 Helical Gear

Helical Gear Speed Ratio

The Helical Gear Speed Ratio is the ratio of the speed of pinion to the speed of the gear.

Symbol: i

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Helical Gear Speed Ratio

Other formulas in Core Design Parameters category

Go Transverse Module of Helical Gear given Transverse Diametrical Pitch

m = \frac{1}{P}

Go Normal Module of Helical Gear

m n = m \cdot \cos (ψ)

Go Transverse Module of Helical Gear given Normal Module

m = \frac{m n}{\cos (ψ)}

Go Pitch Circle Diameter of Helical Gear

d = z \cdot \frac{m n}{\cos (ψ)}

How to Evaluate Number of Teeth on Pinion given Speed Ratio?

Number of Teeth on Pinion given Speed Ratio evaluator uses Number of Teeth on Helical Pinion = Number of Teeth on Helical Gear/Helical Gear Speed Ratio to evaluate the Number of Teeth on Helical Pinion, The Number of Teeth on Pinion given Speed Ratio formula is defined as the number of protrusions onto the periphery of a gear that mesh with teeth of another gear to transmit motion. Number of Teeth on Helical Pinion is denoted by Z_p symbol.

How to evaluate Number of Teeth on Pinion given Speed Ratio using this online evaluator? To use this online evaluator for Number of Teeth on Pinion given Speed Ratio, enter Number of Teeth on Helical Gear (z) & Helical Gear Speed Ratio (i) and hit the calculate button.

FAQs on Number of Teeth on Pinion given Speed Ratio

What is the formula to find Number of Teeth on Pinion given Speed Ratio?

The formula of Number of Teeth on Pinion given Speed Ratio is expressed as Number of Teeth on Helical Pinion = Number of Teeth on Helical Gear/Helical Gear Speed Ratio. Here is an example- 16.81818 = 37/2.2.

How to calculate Number of Teeth on Pinion given Speed Ratio?

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

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Number of Teeth on Pinion given Speed Ratio Formula

Number of Teeth on Pinion given Speed Ratio Example

Number of Teeth on Pinion given Speed Ratio Solution

Number of Teeth on Pinion given Speed Ratio Formula Elements

Other formulas in Core Design Parameters category

How to Evaluate Number of Teeth on Pinion given Speed Ratio?

FAQs on Number of Teeth on Pinion given Speed Ratio

Variable Name