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Pitch Circle Radius of Pinion Formula

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Pitch Circle Radius of Pinion is the radial distance of the tooth measuring from the pitch circle to the bottom of the tooth space. Check FAQs

r = \frac{z \cdot m}{2}

r - Pitch Circle Radius of Pinion?z - Number of Teeth on Spur Gear?m - Module of Spur Gear?

Pitch Circle Radius of Pinion Example

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Here is how the Pitch Circle Radius of Pinion equation looks like with Values.

Here is how the Pitch Circle Radius of Pinion equation looks like with Units.

Here is how the Pitch Circle Radius of Pinion equation looks like.

61.5 = \frac{30 \cdot 4.1}{2}

61.5mm = \frac{30 \cdot 4.1mm}{2}

61.5 = \frac{30 \cdot 4.1}{2}

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Pitch Circle Radius of Pinion Solution

Follow our step by step solution on how to calculate Pitch Circle Radius of Pinion?

FIRST Step Consider the formula

r = \frac{z \cdot m}{2}

Next Step Substitute values of Variables

∴

r = \frac{30 \cdot 4.1mm}{2}

Next Step Convert Units

∴

r = \frac{30 \cdot 0.0041m}{2}

Next Step Prepare to Evaluate

∴

r = \frac{30 \cdot 0.0041}{2}

Next Step Evaluate

∴

r = 0.0615m

LAST Step Convert to Output's Unit

∴

r = 61.5mm

Pitch Circle Radius of Pinion Formula Elements

Variables

Pitch Circle Radius of Pinion

Pitch Circle Radius of Pinion is the radial distance of the tooth measuring from the pitch circle to the bottom of the tooth space.

Symbol: r

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Pitch Circle Radius of Pinion

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

Module of Spur Gear

Module of Spur Gear is the unit of size that indicates how big or small is a gear.

Symbol: m

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Module of Spur Gear

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 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}

How to Evaluate Pitch Circle Radius of Pinion?

Pitch Circle Radius of Pinion evaluator uses Pitch Circle Radius of Pinion = (Number of Teeth on Spur Gear*Module of Spur Gear)/2 to evaluate the Pitch Circle Radius of Pinion, Pitch Circle Radius of Pinion formula is defined as the radial distance of the tooth measuring from the pitch circle to the bottom of the tooth space. Pitch Circle Radius of Pinion is denoted by r symbol.

How to evaluate Pitch Circle Radius of Pinion using this online evaluator? To use this online evaluator for Pitch Circle Radius of Pinion, enter Number of Teeth on Spur Gear (z) & Module of Spur Gear (m) and hit the calculate button.

FAQs on Pitch Circle Radius of Pinion

What is the formula to find Pitch Circle Radius of Pinion?

The formula of Pitch Circle Radius of Pinion is expressed as Pitch Circle Radius of Pinion = (Number of Teeth on Spur Gear*Module of Spur Gear)/2. Here is an example- 61500 = (30*0.0041)/2.

How to calculate Pitch Circle Radius of Pinion?

With Number of Teeth on Spur Gear (z) & Module of Spur Gear (m) we can find Pitch Circle Radius of Pinion using the formula - Pitch Circle Radius of Pinion = (Number of Teeth on Spur Gear*Module of Spur Gear)/2.

Can the Pitch Circle Radius of Pinion be negative?

No, the Pitch Circle Radius of Pinion, measured in Length cannot be negative.

Which unit is used to measure Pitch Circle Radius of Pinion?

Pitch Circle Radius of Pinion is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Pitch Circle Radius of Pinion can be measured.

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Pitch Circle Radius of Pinion Formula

Pitch Circle Radius of Pinion Example

Pitch Circle Radius of Pinion Solution

Pitch Circle Radius of Pinion Formula Elements

Other formulas in Parameters of Spur Gear category

How to Evaluate Pitch Circle Radius of Pinion?

FAQs on Pitch Circle Radius of Pinion

Variable Name