Pinion Pitch Circle Radius Calculator

✖Number of Pinion Teeth is the total count of teeth on the pinion gear in a steering system, which affects the overall steering ratio and efficiency.ⓘ Number of Pinion Teeth [t]			+10% -10%
✖Linear or Circular Pitch is the distance between two consecutive threads or grooves in a circular or linear arrangement in a steering system.ⓘ Linear or Circular Pitch [p]			+10% -10%

✖Pinion Pitch Circle Radius is the radius of the circle that passes through the pitch point of the pinion gear in a steering system.ⓘ Pinion Pitch Circle Radius [R_p]

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Pinion Pitch Circle Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pinion Pitch Circle Radius = (Number of Pinion Teeth*Linear or Circular Pitch)/(2*pi)
R_p = (t*p)/(2*pi)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Pinion Pitch Circle Radius - (Measured in Meter) - Pinion Pitch Circle Radius is the radius of the circle that passes through the pitch point of the pinion gear in a steering system.
Number of Pinion Teeth - Number of Pinion Teeth is the total count of teeth on the pinion gear in a steering system, which affects the overall steering ratio and efficiency.
Linear or Circular Pitch - (Measured in Meter) - Linear or Circular Pitch is the distance between two consecutive threads or grooves in a circular or linear arrangement in a steering system.

STEP 1: Convert Input(s) to Base Unit

Number of Pinion Teeth: 6 --> No Conversion Required
Linear or Circular Pitch: 11 Millimeter --> 0.011 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_p = (t*p)/(2*pi) --> (6*0.011)/(2*pi)

Evaluating ... ...

R_p = 0.0105042262440651

STEP 3: Convert Result to Output's Unit

0.0105042262440651 Meter -->10.5042262440651 Millimeter (Check conversion here)

FINAL ANSWER

10.5042262440651 ≈ 10.50423 Millimeter <-- Pinion Pitch Circle Radius

(Calculation completed in 00.004 seconds)

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Created by Syed Adnan

Ramaiah University of Applied Sciences (RUAS), bangalore

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National Institute Of Technology (NIT), Hamirpur

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Pinion Pitch Circle Radius Formula

LaTeX Go

Pinion Pitch Circle Radius = (Number of Pinion Teeth*Linear or Circular Pitch)/(2*pi)
R_p = (t*p)/(2*pi)

What is pinion pitch circle radius?

The Pinion pitch circle radius is defined as the circular radius of the pinion of a rack and pinion steering system. It depends upon the number of pinion teeth on the pinion and the circular pitch of the pinion.

How to Calculate Pinion Pitch Circle Radius?

Pinion Pitch Circle Radius calculator uses Pinion Pitch Circle Radius = (Number of Pinion Teeth*Linear or Circular Pitch)/(2*pi) to calculate the Pinion Pitch Circle Radius, Pinion Pitch Circle Radius formula is defined as the radial distance from the centre of the gear to the point where the teeth of the pinion gear and the mating gear make contact, playing a crucial role in determining the gear ratio and overall performance of the gear system. Pinion Pitch Circle Radius is denoted by R_p symbol.

How to calculate Pinion Pitch Circle Radius using this online calculator? To use this online calculator for Pinion Pitch Circle Radius, enter Number of Pinion Teeth (t) & Linear or Circular Pitch (p) and hit the calculate button. Here is how the Pinion Pitch Circle Radius calculation can be explained with given input values -> 10504.23 = (6*0.011)/(2*pi).

FAQ

What is Pinion Pitch Circle Radius?

Pinion Pitch Circle Radius formula is defined as the radial distance from the centre of the gear to the point where the teeth of the pinion gear and the mating gear make contact, playing a crucial role in determining the gear ratio and overall performance of the gear system and is represented as R_p = (t*p)/(2*pi) or Pinion Pitch Circle Radius = (Number of Pinion Teeth*Linear or Circular Pitch)/(2*pi). Number of Pinion Teeth is the total count of teeth on the pinion gear in a steering system, which affects the overall steering ratio and efficiency & Linear or Circular Pitch is the distance between two consecutive threads or grooves in a circular or linear arrangement in a steering system.

How to calculate Pinion Pitch Circle Radius?

Pinion Pitch Circle Radius formula is defined as the radial distance from the centre of the gear to the point where the teeth of the pinion gear and the mating gear make contact, playing a crucial role in determining the gear ratio and overall performance of the gear system is calculated using Pinion Pitch Circle Radius = (Number of Pinion Teeth*Linear or Circular Pitch)/(2*pi). To calculate Pinion Pitch Circle Radius, you need Number of Pinion Teeth (t) & Linear or Circular Pitch (p). With our tool, you need to enter the respective value for Number of Pinion Teeth & Linear or Circular Pitch 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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