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Angular Velocity of Pinion given Speed Ratio Formula

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

n p = i \cdot n g

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

Angular Velocity of Pinion given Speed Ratio Example

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

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

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

18.04 = 2.2 \cdot 8.2

18.04rad/s = 2.2 \cdot 8.2rad/s

18.04 = 2.2 \cdot 8.2

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Angular Velocity of Pinion given Speed Ratio Solution

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

FIRST Step Consider the formula

n p = i \cdot n g

Next Step Substitute values of Variables

∴

n p = 2.2 \cdot 8.2rad/s

Next Step Prepare to Evaluate

∴

n p = 2.2 \cdot 8.2

LAST Step Evaluate

∴

n p = 18.04rad/s

Angular Velocity of Pinion given Speed Ratio Formula Elements

Variables

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

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 Angular Velocity of Pinion given Speed Ratio?

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

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

FAQs on Angular Velocity of Pinion given Speed Ratio

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

The formula of Angular Velocity of Pinion given Speed Ratio is expressed as Speed of Pinion Helical Gear = Helical Gear Speed Ratio*Speed of Helical Gear. Here is an example- 18.04 = 2.2*8.2.

How to calculate Angular Velocity of Pinion given Speed Ratio?

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

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

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

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

Angular Velocity of Pinion 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 Pinion given Speed Ratio can be measured.

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