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Diametral Pitch of Gear given Circular Pitch Formula

GoDiametral Pitch of Gear given Number of teeth and Pitch Circle Diameter Formula

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Diametral Pitch of Spur Gear is the number of teeth on the Spur Gear per unit length of the pitch diameter. Check FAQs

P d = \frac{π}{P c}

P_d - Diametral Pitch of Spur Gear?P_c - Circular Pitch of Spur Gear?π - Archimedes' constant?

Diametral Pitch of Gear given Circular Pitch Example

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With units

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Here is how the Diametral Pitch of Gear given Circular Pitch equation looks like with Values.

Here is how the Diametral Pitch of Gear given Circular Pitch equation looks like with Units.

Here is how the Diametral Pitch of Gear given Circular Pitch equation looks like.

0.2544 = \frac{3.1416}{12.35}

0.2544mm⁻¹ = \frac{3.1416}{12.35mm}

0.2544 = \frac{3.1416}{12.35}

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Design of Machine Elements » fx Diametral Pitch of Gear given Circular Pitch

Diametral Pitch of Gear given Circular Pitch Solution

Follow our step by step solution on how to calculate Diametral Pitch of Gear given Circular Pitch?

FIRST Step Consider the formula

P d = \frac{π}{P c}

Next Step Substitute values of Variables

∴

P d = \frac{π}{12.35mm}

Next Step Substitute values of Constants

∴

P d = \frac{3.1416}{12.35mm}

Next Step Convert Units

∴

P d = \frac{3.1416}{0.0124m}

Next Step Prepare to Evaluate

∴

P d = \frac{3.1416}{0.0124}

Next Step Evaluate

∴

P d = 254.379971950591m⁻¹

Next Step Convert to Output's Unit

∴

P d = 0.254379971950591mm⁻¹

LAST Step Rounding Answer

∴

P d = 0.2544mm⁻¹

Diametral Pitch of Gear given Circular Pitch Formula Elements

Variables

Constants

Diametral Pitch of Spur Gear

Diametral Pitch of Spur Gear is the number of teeth on the Spur Gear per unit length of the pitch diameter.

Symbol: P_d

Measurement: Reciprocal LengthUnit: mm⁻¹

Note: Value should be greater than 0.

Formulas to find Diametral Pitch of Spur Gear

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

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 Diametral Pitch of Spur Gear

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

P d = \frac{z}{d}

Other formulas in Parameters of Spur Gear category

Go Circular Pitch of Gear given Diameter and Number of Teeth

P c = π \cdot \frac{d}{z}

Go Module of Gear given Diametral Pitch

m = \frac{1}{P d}

Go Module of Gear given Pitch Circle Diameter

m = \frac{d}{z}

Go Pitch Circle Diameter of Gear given Module and Number of Teeth

d = m \cdot z

How to Evaluate Diametral Pitch of Gear given Circular Pitch?

Diametral Pitch of Gear given Circular Pitch evaluator uses Diametral Pitch of Spur Gear = pi/Circular Pitch of Spur Gear to evaluate the Diametral Pitch of Spur Gear, Diametral Pitch of Gear given Circular Pitch is the number of teeth on the Spur Gear per unit length of the pitch diameter. Diametral Pitch of Spur Gear is denoted by P_d symbol.

How to evaluate Diametral Pitch of Gear given Circular Pitch using this online evaluator? To use this online evaluator for Diametral Pitch of Gear given Circular Pitch, enter Circular Pitch of Spur Gear (P_c) and hit the calculate button.

FAQs on Diametral Pitch of Gear given Circular Pitch

What is the formula to find Diametral Pitch of Gear given Circular Pitch?

The formula of Diametral Pitch of Gear given Circular Pitch is expressed as Diametral Pitch of Spur Gear = pi/Circular Pitch of Spur Gear. Here is an example- 0.000254 = pi/0.01235.

How to calculate Diametral Pitch of Gear given Circular Pitch?

With Circular Pitch of Spur Gear (P_c) we can find Diametral Pitch of Gear given Circular Pitch using the formula - Diametral Pitch of Spur Gear = pi/Circular Pitch of Spur Gear. This formula also uses Archimedes' constant .

What are the other ways to Calculate Diametral Pitch of Spur Gear?

Here are the different ways to Calculate Diametral Pitch of Spur Gear-

Diametral Pitch of Spur Gear=Number of Teeth on Spur Gear/Pitch Circle Diameter of Spur Gear

Can the Diametral Pitch of Gear given Circular Pitch be negative?

No, the Diametral Pitch of Gear given Circular Pitch, measured in Reciprocal Length cannot be negative.

Which unit is used to measure Diametral Pitch of Gear given Circular Pitch?

Diametral Pitch of Gear given Circular Pitch is usually measured using the 1 per Millimeter[mm⁻¹] for Reciprocal Length. 1 per Meter[mm⁻¹], 1 per Kilometer[mm⁻¹], 1 per Mile[mm⁻¹] are the few other units in which Diametral Pitch of Gear given Circular Pitch can be measured.

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