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 00.006 seconds)

Credits

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Created by Prasana Kannan
Sri sivasubramaniyanadar college of engineering (ssn college of engineering), Chennai
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Institute of Chartered and Financial Analysts of India National college (ICFAI National College), HUBLI
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Parameters of Spur Gear Calculators

Circular Pitch of Gear given Diameter and Number of Teeth
​ LaTeX ​ Go Circular Pitch of Spur Gear = pi*Pitch Circle Diameter of Spur Gear/Number of Teeth on Spur Gear
Diametral Pitch of Gear given Number of teeth and Pitch Circle Diameter
​ LaTeX ​ Go Diametral Pitch of Spur Gear = Number of Teeth on Spur Gear/Pitch Circle Diameter of Spur Gear
Diametral Pitch of Gear given Circular Pitch
​ LaTeX ​ Go Diametral Pitch of Spur Gear = pi/Circular Pitch of Spur Gear
Module of Gear given Diametral Pitch
​ LaTeX ​ Go Module of Spur Gear = 1/Diametral Pitch of Spur Gear

Pitch Circle Radius of Pinion Formula

​LaTeX ​Go
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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