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Circular Pitch given Number of Teeth on Wheel Formula

GoCircular Pitch Formula

GoCircular Pitch for Helical Gears 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{π \cdot d}{T}

P_c - Circular Pitch?d - Pitch Circle Diameter?T - Number of Teeth on Wheel?π - Archimedes' constant?

Circular Pitch given Number of Teeth on Wheel Example

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Here is how the Circular Pitch given Number of Teeth on Wheel equation looks like with Values.

Here is how the Circular Pitch given Number of Teeth on Wheel equation looks like with Units.

Here is how the Circular Pitch given Number of Teeth on Wheel equation looks like.

16.2329 = \frac{3.1416 \cdot 196349}{38000}

16.2329mm = \frac{3.1416 \cdot 196349mm}{38000}

16.2329 = \frac{3.1416 \cdot 196349}{38000}

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Circular Pitch given Number of Teeth on Wheel Solution

Follow our step by step solution on how to calculate Circular Pitch given Number of Teeth on Wheel?

FIRST Step Consider the formula

P c = \frac{π \cdot d}{T}

Next Step Substitute values of Variables

∴

P c = \frac{π \cdot 196349mm}{38000}

Next Step Substitute values of Constants

∴

P c = \frac{3.1416 \cdot 196349mm}{38000}

Next Step Convert Units

∴

P c = \frac{3.1416 \cdot 196.349m}{38000}

Next Step Prepare to Evaluate

∴

P c = \frac{3.1416 \cdot 196.349}{38000}

Next Step Evaluate

∴

P c = 0.0162328572615711m

Next Step Convert to Output's Unit

∴

P c = 16.2328572615711mm

LAST Step Rounding Answer

∴

P c = 16.2329mm

Circular Pitch given Number of Teeth on Wheel Formula Elements

Variables

Constants

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

Pitch Circle Diameter

Pitch Circle Diameter is the diameter of the pitch circle.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Pitch Circle Diameter

Number of Teeth on Wheel

Number of teeth on wheel is the count of teeths on the wheel.

Symbol: T

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Number of Teeth on Wheel

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Circular Pitch

Go Circular Pitch

P c = π \cdot m

Go Circular Pitch for Helical Gears

P c = \frac{P N}{\cos (ψ)}

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 given Number of Teeth on Wheel?

Circular Pitch given Number of Teeth on Wheel evaluator uses Circular Pitch = (pi*Pitch Circle Diameter)/Number of Teeth on Wheel to evaluate the Circular Pitch, Circular Pitch given Number of Teeth on Wheel 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 given Number of Teeth on Wheel using this online evaluator? To use this online evaluator for Circular Pitch given Number of Teeth on Wheel, enter Pitch Circle Diameter (d) & Number of Teeth on Wheel (T) and hit the calculate button.

FAQs on Circular Pitch given Number of Teeth on Wheel

What is the formula to find Circular Pitch given Number of Teeth on Wheel?

The formula of Circular Pitch given Number of Teeth on Wheel is expressed as Circular Pitch = (pi*Pitch Circle Diameter)/Number of Teeth on Wheel. Here is an example- 20561.62 = (pi*196.349)/38000.

How to calculate Circular Pitch given Number of Teeth on Wheel?

With Pitch Circle Diameter (d) & Number of Teeth on Wheel (T) we can find Circular Pitch given Number of Teeth on Wheel using the formula - Circular Pitch = (pi*Pitch Circle Diameter)/Number of Teeth on Wheel. This formula also uses Archimedes' constant .

What are the other ways to Calculate Circular Pitch?

Here are the different ways to Calculate Circular Pitch-

Circular Pitch=pi*Module
Circular Pitch=Normal Pitch/cos(Helix Angle)

Can the Circular Pitch given Number of Teeth on Wheel be negative?

No, the Circular Pitch given Number of Teeth on Wheel, measured in Length cannot be negative.

Which unit is used to measure Circular Pitch given Number of Teeth on Wheel?

Circular Pitch given Number of Teeth on Wheel is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Circular Pitch given Number of Teeth on Wheel can be measured.

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