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Diametral Pitch Formula

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

P d = \frac{T}{d}

P_d - Diametral Pitch?T - Number of Teeth on Wheel?d - Pitch Circle Diameter?

Diametral Pitch Example

With values

With units

Only example

Here is how the Diametral Pitch equation looks like with Values.

Here is how the Diametral Pitch equation looks like with Units.

Here is how the Diametral Pitch equation looks like.

0.1935 = \frac{38000}{196349}

0.1935mm⁻¹ = \frac{38000}{196349mm}

0.1935 = \frac{38000}{196349}

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Diametral Pitch Solution

Follow our step by step solution on how to calculate Diametral Pitch?

FIRST Step Consider the formula

P d = \frac{T}{d}

Next Step Substitute values of Variables

∴

P d = \frac{38000}{196349mm}

Next Step Convert Units

∴

P d = \frac{38000}{196.349m}

Next Step Prepare to Evaluate

∴

P d = \frac{38000}{196.349}

Next Step Evaluate

∴

P d = 193.532943890725m⁻¹

Next Step Convert to Output's Unit

∴

P d = 0.193532943890725mm⁻¹

LAST Step Rounding Answer

∴

P d = 0.1935mm⁻¹

Diametral Pitch Formula Elements

Variables

Diametral Pitch

Diametral Pitch is the number of teeth 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

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

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

Other formulas in Pitch category

Go Circular Pitch

P c = π \cdot m

Go Circular Pitch for Helical Gears

P c = \frac{P N}{\cos (ψ)}

Go Circular Pitch given Number of Teeth on Wheel

P c = \frac{π \cdot d}{T}

Go Diametral Pitch given Circular Pitch

d = \frac{π}{P c}

How to Evaluate Diametral Pitch?

Diametral Pitch evaluator uses Diametral Pitch = Number of Teeth on Wheel/Pitch Circle Diameter to evaluate the Diametral Pitch, Diametral Pitch is number of teeth of a gear per inch of its pitch diameter. Diametral Pitch is denoted by P_d symbol.

How to evaluate Diametral Pitch using this online evaluator? To use this online evaluator for Diametral Pitch, enter Number of Teeth on Wheel (T) & Pitch Circle Diameter (d) and hit the calculate button.

FAQs on Diametral Pitch

What is the formula to find Diametral Pitch?

The formula of Diametral Pitch is expressed as Diametral Pitch = Number of Teeth on Wheel/Pitch Circle Diameter. Here is an example- 0.000153 = 38000/196.349.

How to calculate Diametral Pitch?

With Number of Teeth on Wheel (T) & Pitch Circle Diameter (d) we can find Diametral Pitch using the formula - Diametral Pitch = Number of Teeth on Wheel/Pitch Circle Diameter.

Can the Diametral Pitch be negative?

Yes, the Diametral Pitch, measured in Reciprocal Length can be negative.

Which unit is used to measure Diametral Pitch?

Diametral 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 can be measured.

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