Pitch Circle Radius of Pinion Calculator

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Design of Gears

Basics Of Machine Design

Design of Coupling

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Design of Spur Gears

Design of Bevel Gears

Design of Helical Gears

Design of Worm Gears

✖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.ⓘ Number of Teeth on Spur Gear [z]			+10% -10%
✖Module of Spur Gear is the unit of size that indicates how big or small is a gear.ⓘ Module of Spur Gear [m]			+10% -10%

✖Pitch Circle Radius of Pinion is the radial distance of the tooth measuring from the pitch circle to the bottom of the tooth space.ⓘ Pitch Circle Radius of Pinion [r]

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Formula

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Pitch Circle Radius of Pinion

Formula

`"r" = ("z"*"m")/2`

Example

`"61.5mm"=("30"*"4.1mm")/2`

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Pitch Circle Radius of Pinion Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pitch Circle Radius of Pinion = (Number of Teeth on Spur Gear*Module of Spur Gear)/2
r = (z*m)/2
This formula uses 3 Variables

Variables Used

Pitch Circle Radius of Pinion - (Measured in Meter) - Pitch Circle Radius of Pinion is the radial distance of the tooth measuring from the pitch circle to the bottom of the tooth space.
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.
Module of Spur Gear - (Measured in Meter) - Module of Spur Gear is the unit of size that indicates how big or small is a gear.

STEP 1: Convert Input(s) to Base Unit

Number of Teeth on Spur Gear: 30 --> No Conversion Required
Module of Spur Gear: 4.1 Millimeter --> 0.0041 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r = (z*m)/2 --> (30*0.0041)/2

Evaluating ... ...

r = 0.0615

STEP 3: Convert Result to Output's Unit

0.0615 Meter -->61.5 Millimeter (Check conversion here)

FINAL ANSWER

61.5 Millimeter <-- Pitch Circle Radius of Pinion

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Machine Elements » Design of Gears » Design of Spur Gears » Pitch Circle Radius of Pinion

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< 25 Design of Spur Gears Calculators

Center to Center Distance between Spur Gears

Go Distance between Spur Gear Centres = Module of Spur Gear*((Number of Teeth on Pinion+Number of Teeth on Spur Gear)/2)

Circular Pitch of Gear given Diameter and Number of Teeth

Go Circular Pitch of Spur Gear = pi*Pitch Circle Diameter of Spur Gear/Number of Teeth on Spur Gear

Resultant Force on Gear

Go Resultant Force on Spur Gear = Tangential Force on Spur Gear/cos(Pressure Angle of Spur Gear)

Radial Force of Gear given Tangential Force and Pressure Angle

Go Radial Force on Spur Gear = Tangential Force on Spur Gear*tan(Pressure Angle of Spur Gear)

Tangential Force on Gear given Radial Force and Pressure Angle

Go Tangential Force on Spur Gear = Radial Force on Spur Gear*cot(Pressure Angle of Spur Gear)

Pitch Circle Diameter of holes of Medium Size Gear

Go Pitch Circle Diameter of Holes in Gear = (Inner Diameter of Rim of Spur Gear+Outer Diameter of Spur Gear Hub)/2

Diameter of Holes in Gear Web of Medium Size Diameter

Go Diameter of Holes in Spur Gear Web = (Inner Diameter of Rim of Spur Gear-Outer Diameter of Spur Gear Hub)/4

Inner Diameter of Rim of Large Size Gear

Go Inner Diameter of Rim of Spur Gear = Dedendum Circle Diameter of Spur Gear-2*Thickness of Spur Gear Rim

Torque Transmitted by Gear given Tangential Force and Pitch Circle Diameter

Go Torque transmitted by spur gear = Tangential Force on Spur Gear*Pitch Circle Diameter of Spur Gear/2

Addendum Circle Diameter of Medium Size Gear Diameter given Addendum

Go Addendum Circle Diameter of Spur Gear = Pitch Circle Diameter of Spur Gear+(2*Addendum of spur gear)

Tangential Force on Gear given Torque and Pitch Circle Diameter

Go Tangential Force on Spur Gear = 2*Torque transmitted by spur gear/Pitch Circle Diameter of Spur Gear

Dedendum Circle Diameter of Medium Size Gear given Dedundum

Go Dedendum Circle Diameter of Spur Gear = Pitch Circle Diameter of Spur Gear-(2*Dedundum of Spur Gear)

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

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

Dedendum Circle Diameter of Large Size Gear

Go Dedendum Circle Diameter of Spur Gear = Module of Spur Gear*(Number of Teeth on Spur Gear-2.5)

Addendum Circle Diameter of Large Size Gear

Go Addendum Circle Diameter of Spur Gear = Module of Spur Gear*(Number of Teeth on Spur Gear+2)

Pitch Circle Diameter of Gear given Module and Number of Teeth

Go Pitch Circle Diameter of Spur Gear = Module of Spur Gear*Number of Teeth on Spur Gear

Module of Gear given Pitch Circle Diameter

Go Module of Spur Gear = Pitch Circle Diameter of Spur Gear/Number of Teeth on Spur Gear

Maximum Torque of Gear given Service Factor

Go Maximum Torque on Spur Gear = Service Factor for Spur Gear*Rated Torque of Spur Gear

Service Factor for Gear given Torque

Go Service Factor for Spur Gear = Maximum Torque on Spur Gear/Rated Torque of Spur Gear

Gear Ratio given Number of Teeth

Go Gear Ratio of Spur Gear = Number of Teeth on Spur Gear/Number of Teeth on Pinion

Gear Ratio given Speed

Go Gear Ratio of Spur Gear = Speed of Spur Pinion/Speed of Spur Gear

Diametral Pitch of Gear given Circular Pitch

Go Diametral Pitch of Spur Gear = pi/Circular Pitch of Spur Gear

Outer Diameter of Hub of Large Size Gear

Go Outer Diameter of Spur Gear Hub = 2*Diameter of Spur Gear Shaft

Thickness of Rim of Large Size Gear

Go Thickness of Spur Gear Rim = 0.56*Circular Pitch of Spur Gear

Module of Gear given Diametral Pitch

Go Module of Spur Gear = 1/Diametral Pitch of Spur Gear

Pitch Circle Radius of Pinion Formula

Pitch Circle Radius of Pinion = (Number of Teeth on Spur Gear*Module of Spur Gear)/2
r = (z*m)/2

Pitch circle and Pinion

An imaginary circle concentric to a toothed wheel, along which the pitch of the teeth is measured.
A pinion is a round gear—usually the smaller of two meshed gears—used in several applications, including drivetrain and rack and pinion systems.

How to Calculate Pitch Circle Radius of Pinion?

Pitch Circle Radius of Pinion calculator uses Pitch Circle Radius of Pinion = (Number of Teeth on Spur Gear*Module of Spur Gear)/2 to calculate 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 calculate Pitch Circle Radius of Pinion using this online calculator? To use this online calculator for Pitch Circle Radius of Pinion, enter Number of Teeth on Spur Gear (z) & Module of Spur Gear (m) and hit the calculate button. Here is how the Pitch Circle Radius of Pinion calculation can be explained with given input values -> 61500 = (30*0.0041)/2.

FAQ

What is 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 and is represented as r = (z*m)/2 or Pitch Circle Radius of Pinion = (Number of Teeth on Spur Gear*Module of Spur Gear)/2. 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 & Module of Spur Gear is the unit of size that indicates how big or small is a gear.

How to calculate 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 is calculated using Pitch Circle Radius of Pinion = (Number of Teeth on Spur Gear*Module of Spur Gear)/2. To calculate Pitch Circle Radius of Pinion, you need Number of Teeth on Spur Gear (z) & Module of Spur Gear (m). With our tool, you need to enter the respective value for Number of Teeth on Spur Gear & Module of Spur Gear and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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