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Speed Ratio for Helical Gears Formula

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

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

i - Helical Gear Speed Ratio?n_p - Speed of Pinion Helical Gear?n_g - Speed of Helical Gear?

Speed Ratio for Helical Gears Example

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Here is how the Speed Ratio for Helical Gears equation looks like with Values.

Here is how the Speed Ratio for Helical Gears equation looks like with Units.

Here is how the Speed Ratio for Helical Gears equation looks like.

2.2195 = \frac{18.2}{8.2}

2.2195 = \frac{18.2rad/s}{8.2rad/s}

2.2195 = \frac{18.2}{8.2}

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Speed Ratio for Helical Gears Solution

Follow our step by step solution on how to calculate Speed Ratio for Helical Gears?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

i = \frac{18.2rad/s}{8.2rad/s}

Next Step Prepare to Evaluate

∴

i = \frac{18.2}{8.2}

Next Step Evaluate

∴

i = 2.21951219512195

LAST Step Rounding Answer

∴

i = 2.2195

Speed Ratio for Helical Gears Formula Elements

Variables

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

Speed of Pinion Helical Gear

Speed of Pinion Helical Gear 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 Pinion Helical Gear

Speed of Helical Gear

Speed of Helical Gear is the angular velocity of the helical 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 Helical Gear

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 Speed Ratio for Helical Gears?

Speed Ratio for Helical Gears evaluator uses Helical Gear Speed Ratio = Speed of Pinion Helical Gear/Speed of Helical Gear to evaluate the Helical Gear Speed Ratio, The Speed Ratio for Helical Gears formula is defined as the ratio of the speed of the pinion and the gear. Helical Gear Speed Ratio is denoted by i symbol.

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

FAQs on Speed Ratio for Helical Gears

What is the formula to find Speed Ratio for Helical Gears?

The formula of Speed Ratio for Helical Gears is expressed as Helical Gear Speed Ratio = Speed of Pinion Helical Gear/Speed of Helical Gear. Here is an example- 2.219512 = 18.2/8.2.

How to calculate Speed Ratio for Helical Gears?

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

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