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Angular Velocity of Gear given Speed Ratio Formula

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Speed of Helical Gear is the angular velocity of the helical gear (the larger of a pair of gear wheels). Check FAQs

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

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

Angular Velocity of Gear given Speed Ratio Example

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

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

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

8.2727 = \frac{18.2}{2.2}

8.2727rad/s = \frac{18.2rad/s}{2.2}

8.2727 = \frac{18.2}{2.2}

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Angular Velocity of Gear given Speed Ratio Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

n g = \frac{18.2rad/s}{2.2}

Next Step Prepare to Evaluate

∴

n g = \frac{18.2}{2.2}

Next Step Evaluate

∴

n g = 8.27272727272727rad/s

LAST Step Rounding Answer

∴

n g = 8.2727rad/s

Angular Velocity of Gear given Speed Ratio Formula Elements

Variables

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

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

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 Angular Velocity of Gear given Speed Ratio?

Angular Velocity of Gear given Speed Ratio evaluator uses Speed of Helical Gear = Speed of Pinion Helical Gear/Helical Gear Speed Ratio to evaluate the Speed of Helical Gear, The Angular Velocity of Gear given Speed Ratio formula is defined as the speed of rotation of the gear or the larger gear. Speed of Helical Gear is denoted by n_g symbol.

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

FAQs on Angular Velocity of Gear given Speed Ratio

What is the formula to find Angular Velocity of Gear given Speed Ratio?

The formula of Angular Velocity of Gear given Speed Ratio is expressed as Speed of Helical Gear = Speed of Pinion Helical Gear/Helical Gear Speed Ratio. Here is an example- 8.272727 = 18.2/2.2.

How to calculate Angular Velocity of Gear given Speed Ratio?

With Speed of Pinion Helical Gear (n_p) & Helical Gear Speed Ratio (i) we can find Angular Velocity of Gear given Speed Ratio using the formula - Speed of Helical Gear = Speed of Pinion Helical Gear/Helical Gear Speed Ratio.

Can the Angular Velocity of Gear given Speed Ratio be negative?

No, the Angular Velocity of Gear given Speed Ratio, measured in Angular Velocity cannot be negative.

Which unit is used to measure Angular Velocity of Gear given Speed Ratio?

Angular Velocity of Gear given Speed Ratio is usually measured using the Radian per Second[rad/s] for Angular Velocity. Radian per Day[rad/s], Radian per Hour[rad/s], Radian per Minute[rad/s] are the few other units in which Angular Velocity of Gear given Speed Ratio can be measured.

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