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Circular Pitch for Helical Gears Formula

GoCircular Pitch Formula

GoCircular Pitch given Number of Teeth on Wheel Formula

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A circular pitch is the distance along the pitch circle or pitch line between corresponding profiles of adjacent teeth. Check FAQs

P c = \frac{P N}{\cos (ψ)}

P_c - Circular Pitch?P_N - Normal Pitch?ψ - Helix Angle?

Circular Pitch for Helical Gears Example

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With units

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Here is how the Circular Pitch for Helical Gears equation looks like with Values.

Here is how the Circular Pitch for Helical Gears equation looks like with Units.

Here is how the Circular Pitch for Helical Gears equation looks like.

16.5507 = \frac{15}{\cos (25)}

16.5507mm = \frac{15mm}{\cos (25°)}

16.5507 = \frac{15}{\cos (25)}

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Circular Pitch for Helical Gears Solution

Follow our step by step solution on how to calculate Circular Pitch for Helical Gears?

FIRST Step Consider the formula

P c = \frac{P N}{\cos (ψ)}

Next Step Substitute values of Variables

∴

P c = \frac{15mm}{\cos (25°)}

Next Step Convert Units

∴

P c = \frac{0.015m}{\cos (0.4363rad)}

Next Step Prepare to Evaluate

∴

P c = \frac{0.015}{\cos (0.4363)}

Next Step Evaluate

∴

P c = 0.0165506687844367m

Next Step Convert to Output's Unit

∴

P c = 16.5506687844367mm

LAST Step Rounding Answer

∴

P c = 16.5507mm

Circular Pitch for Helical Gears Formula Elements

Variables

Functions

Circular Pitch

A circular pitch is the distance along the pitch circle or pitch line between corresponding profiles of adjacent teeth.

Symbol: P_c

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Circular Pitch

Normal Pitch

Normal Pitch is the distance between similar faces of adjacent teeth, along a helix on the pitch cylinder is normal to the teeth.

Symbol: P_N

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Normal Pitch

Helix Angle

Helix Angle is the angle between any helix and an axial line on its right, circular cylinder, or cone.

Symbol: ψ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Helix Angle

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other Formulas to find Circular Pitch

Go Circular Pitch

P c = π \cdot m

Go Circular Pitch given Number of Teeth on Wheel

P c = \frac{π \cdot d}{T}

Other formulas in Pitch category

Go Diametral Pitch

P d = \frac{T}{d}

Go Diametral Pitch given Circular Pitch

d = \frac{π}{P c}

How to Evaluate Circular Pitch for Helical Gears?

Circular Pitch for Helical Gears evaluator uses Circular Pitch = Normal Pitch/cos(Helix Angle) to evaluate the Circular Pitch, Circular pitch for helical gears is the distance along the pitch circle or pitch line between corresponding profiles of adjacent teeth. Circular Pitch is denoted by P_c symbol.

How to evaluate Circular Pitch for Helical Gears using this online evaluator? To use this online evaluator for Circular Pitch for Helical Gears, enter Normal Pitch (P_N) & Helix Angle (ψ) and hit the calculate button.

FAQs on Circular Pitch for Helical Gears

What is the formula to find Circular Pitch for Helical Gears?

The formula of Circular Pitch for Helical Gears is expressed as Circular Pitch = Normal Pitch/cos(Helix Angle). Here is an example- 9930.401 = 0.015/cos(0.4363323129985).

How to calculate Circular Pitch for Helical Gears?

With Normal Pitch (P_N) & Helix Angle (ψ) we can find Circular Pitch for Helical Gears using the formula - Circular Pitch = Normal Pitch/cos(Helix Angle). This formula also uses Cosine (cos) function(s).

What are the other ways to Calculate Circular Pitch?

Here are the different ways to Calculate Circular Pitch-

Circular Pitch=pi*Module
Circular Pitch=(pi*Pitch Circle Diameter)/Number of Teeth on Wheel

Can the Circular Pitch for Helical Gears be negative?

No, the Circular Pitch for Helical Gears, measured in Length cannot be negative.

Which unit is used to measure Circular Pitch for Helical Gears?

Circular Pitch for Helical Gears is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Circular Pitch for Helical Gears can be measured.

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Circular Pitch for Helical Gears Formula

​GoCircular Pitch Formula

​GoCircular Pitch given Number of Teeth on Wheel Formula

Circular Pitch for Helical Gears Example

Circular Pitch for Helical Gears Solution

Circular Pitch for Helical Gears Formula Elements

Other Formulas to find Circular Pitch

Other formulas in Pitch category

How to Evaluate Circular Pitch for Helical Gears?

FAQs on Circular Pitch for Helical Gears

Variable Name

GoCircular Pitch Formula

GoCircular Pitch given Number of Teeth on Wheel Formula