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Circular Pitch of Gear given Diameter and Number of Teeth Formula

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Circular Pitch of Spur Gear is the distance along the pitch circle or pitch line between corresponding profiles of adjacent gear teeth. Check FAQs

P c = π \cdot \frac{d}{z}

P_c - Circular Pitch of Spur Gear?d - Pitch Circle Diameter of Spur Gear?z - Number of Teeth on Spur Gear?π - Archimedes' constant?

Circular Pitch of Gear given Diameter and Number of Teeth Example

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Here is how the Circular Pitch of Gear given Diameter and Number of Teeth equation looks like with Values.

Here is how the Circular Pitch of Gear given Diameter and Number of Teeth equation looks like with Units.

Here is how the Circular Pitch of Gear given Diameter and Number of Teeth equation looks like.

12.3569 = 3.1416 \cdot \frac{118}{30}

12.3569mm = 3.1416 \cdot \frac{118mm}{30}

12.3569 = 3.1416 \cdot \frac{118}{30}

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Circular Pitch of Gear given Diameter and Number of Teeth Solution

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

FIRST Step Consider the formula

P c = π \cdot \frac{d}{z}

Next Step Substitute values of Variables

∴

P c = π \cdot \frac{118mm}{30}

Next Step Substitute values of Constants

∴

P c = 3.1416 \cdot \frac{118mm}{30}

Next Step Convert Units

∴

P c = 3.1416 \cdot \frac{0.118m}{30}

Next Step Prepare to Evaluate

∴

P c = 3.1416 \cdot \frac{0.118}{30}

Next Step Evaluate

∴

P c = 0.0123569311041199m

Next Step Convert to Output's Unit

∴

P c = 12.3569311041199mm

LAST Step Rounding Answer

∴

P c = 12.3569mm

Circular Pitch of Gear given Diameter and Number of Teeth Formula Elements

Variables

Constants

Circular Pitch of Spur Gear

Circular Pitch of Spur Gear is the distance along the pitch circle or pitch line between corresponding profiles of adjacent gear teeth.

Symbol: P_c

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Circular Pitch of Spur Gear

Pitch Circle Diameter of Spur Gear

Pitch Circle Diameter of Spur Gear is the diameter of the pitch circle of a gear that touches the meshing gear's pitch circle.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Pitch Circle Diameter of Spur Gear

Number of Teeth on Spur Gear

Number of Teeth on Spur Gear is defined as the number of teeth (which mesh with another compatible toothed part to transmit or convert torque and speed) on a specimen or part under consideration.

Symbol: z

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Teeth on Spur Gear

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 in Parameters of Spur Gear category

Go Diametral Pitch of Gear given Number of teeth and Pitch Circle Diameter

P d = \frac{z}{d}

Go Diametral Pitch of Gear given Circular Pitch

P d = \frac{π}{P c}

Go Module of Gear given Diametral Pitch

m = \frac{1}{P d}

Go Module of Gear given Pitch Circle Diameter

m = \frac{d}{z}

How to Evaluate Circular Pitch of Gear given Diameter and Number of Teeth?

Circular Pitch of Gear given Diameter and Number of Teeth evaluator uses Circular Pitch of Spur Gear = pi*Pitch Circle Diameter of Spur Gear/Number of Teeth on Spur Gear to evaluate the Circular Pitch of Spur Gear, Circular Pitch of Gear given Diameter and Number of Teeth is defined as the distance measured along the pitch circle between two similar points on adjacent teeth of the gear. Circular Pitch of Spur Gear is denoted by P_c symbol.

How to evaluate Circular Pitch of Gear given Diameter and Number of Teeth using this online evaluator? To use this online evaluator for Circular Pitch of Gear given Diameter and Number of Teeth, enter Pitch Circle Diameter of Spur Gear (d) & Number of Teeth on Spur Gear (z) and hit the calculate button.

FAQs on Circular Pitch of Gear given Diameter and Number of Teeth

What is the formula to find Circular Pitch of Gear given Diameter and Number of Teeth?

The formula of Circular Pitch of Gear given Diameter and Number of Teeth is expressed as Circular Pitch of Spur Gear = pi*Pitch Circle Diameter of Spur Gear/Number of Teeth on Spur Gear. Here is an example- 12356.93 = pi*0.118/30.

How to calculate Circular Pitch of Gear given Diameter and Number of Teeth?

With Pitch Circle Diameter of Spur Gear (d) & Number of Teeth on Spur Gear (z) we can find Circular Pitch of Gear given Diameter and Number of Teeth using the formula - Circular Pitch of Spur Gear = pi*Pitch Circle Diameter of Spur Gear/Number of Teeth on Spur Gear. This formula also uses Archimedes' constant .

Can the Circular Pitch of Gear given Diameter and Number of Teeth be negative?

No, the Circular Pitch of Gear given Diameter and Number of Teeth, measured in Length cannot be negative.

Which unit is used to measure Circular Pitch of Gear given Diameter and Number of Teeth?

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

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Circular Pitch of Gear given Diameter and Number of Teeth Formula

Circular Pitch of Gear given Diameter and Number of Teeth Example

Circular Pitch of Gear given Diameter and Number of Teeth Solution

Circular Pitch of Gear given Diameter and Number of Teeth Formula Elements

Other formulas in Parameters of Spur Gear category

How to Evaluate Circular Pitch of Gear given Diameter and Number of Teeth?

FAQs on Circular Pitch of Gear given Diameter and Number of Teeth

Variable Name