Radius of Steering Wheel given Movement Ratio and Circular Pinion Pitch Calculator

✖Movement Ratio is the ratio of the output movement to the input movement in a mechanical system. It indicates how much the system amplifies or reduces motion.ⓘ Movement Ratio [MR]			+10% -10%
✖Number of Teeth on Pinion refers to the total count of gear teeth around its circumference.ⓘ Number of Teeth on Pinion [Z_p]			+10% -10%
✖Circular Pitch of Pinion is the distance between corresponding points on adjacent teeth, measured along the pitch circle.ⓘ Circular Pitch of Pinion [p]			+10% -10%

✖Radius of Steering Wheel is the distance from the center of the wheel to its edge. It affects the leverage and effort required to turn the steering wheel.ⓘ Radius of Steering Wheel given Movement Ratio and Circular Pinion Pitch [r_sw]

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Radius of Steering Wheel given Movement Ratio and Circular Pinion Pitch Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Steering Wheel = Movement Ratio/(2*pi/(Number of Teeth on Pinion*Circular Pitch of Pinion))
r_sw = MR/(2*pi/(Z_p*p))
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Radius of Steering Wheel - (Measured in Meter) - Radius of Steering Wheel is the distance from the center of the wheel to its edge. It affects the leverage and effort required to turn the steering wheel.
Movement Ratio - Movement Ratio is the ratio of the output movement to the input movement in a mechanical system. It indicates how much the system amplifies or reduces motion.
Number of Teeth on Pinion - Number of Teeth on Pinion refers to the total count of gear teeth around its circumference.
Circular Pitch of Pinion - (Measured in Meter) - Circular Pitch of Pinion is the distance between corresponding points on adjacent teeth, measured along the pitch circle.

STEP 1: Convert Input(s) to Base Unit

Movement Ratio: 15 --> No Conversion Required
Number of Teeth on Pinion: 9 --> No Conversion Required
Circular Pitch of Pinion: 6.98131701 Millimeter --> 0.00698131701 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_sw = MR/(2*pi/(Z_p*p)) --> 15/(2*pi/(9*0.00698131701))

Evaluating ... ...

r_sw = 0.150000000043459

STEP 3: Convert Result to Output's Unit

0.150000000043459 Meter -->150.000000043459 Millimeter (Check conversion here)

FINAL ANSWER

150.000000043459 ≈ 150 Millimeter <-- Radius of Steering Wheel

(Calculation completed in 00.004 seconds)

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Created by Peri Krishna Karthik

National Institute of Technology Calicut (NIT Calicut), Calicut, Kerala

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national institute of technology hamirpur (NITH ), hamirpur , himachal pradesh

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< Movement Ratio Calculators

Movement Ratio given Number of Teeth on Pinion

LaTeX Go Movement Ratio = 2*pi*Radius of Steering Wheel/(Number of Teeth on Pinion*Circular Pitch of Pinion)

Radius of Pinion Pitch Circle given Movement Ratio

LaTeX Go Radius of Pitch Circle of Pinion = Radius of Steering Wheel/Movement Ratio

Radius of Steering Wheel given Movement Ratio

LaTeX Go Radius of Steering Wheel = Movement Ratio*Radius of Pitch Circle of Pinion

Movement Ratio

LaTeX Go Movement Ratio = Radius of Steering Wheel/Radius of Pitch Circle of Pinion

Radius of Steering Wheel given Movement Ratio and Circular Pinion Pitch Formula

LaTeX Go

Radius of Steering Wheel = Movement Ratio/(2*pi/(Number of Teeth on Pinion*Circular Pitch of Pinion))
r_sw = MR/(2*pi/(Z_p*p))

What is Circular Pinion Pitch?

Circular pinion pitch is the distance between corresponding points on adjacent teeth, measured along the pitch circle of the pinion. It determines how smoothly the pinion meshes with the rack and influences steering precision. A consistent pitch is crucial for smooth and accurate steering.

How to Calculate Radius of Steering Wheel given Movement Ratio and Circular Pinion Pitch?

Radius of Steering Wheel given Movement Ratio and Circular Pinion Pitch calculator uses Radius of Steering Wheel = Movement Ratio/(2*pi/(Number of Teeth on Pinion*Circular Pitch of Pinion)) to calculate the Radius of Steering Wheel, Radius of Steering Wheel given Movement Ratio and Circular Pinion Pitch formula is defined as a measure of the radius of the steering wheel in a vehicle, which is a critical component in the steering system, and is influenced by the movement ratio and circular pinion pitch. Radius of Steering Wheel is denoted by r_sw symbol.

How to calculate Radius of Steering Wheel given Movement Ratio and Circular Pinion Pitch using this online calculator? To use this online calculator for Radius of Steering Wheel given Movement Ratio and Circular Pinion Pitch, enter Movement Ratio (MR), Number of Teeth on Pinion (Z_p) & Circular Pitch of Pinion (p) and hit the calculate button. Here is how the Radius of Steering Wheel given Movement Ratio and Circular Pinion Pitch calculation can be explained with given input values -> 149971.7 = 15/(2*pi/(9*0.00698131701)).

FAQ

What is Radius of Steering Wheel given Movement Ratio and Circular Pinion Pitch?

Radius of Steering Wheel given Movement Ratio and Circular Pinion Pitch formula is defined as a measure of the radius of the steering wheel in a vehicle, which is a critical component in the steering system, and is influenced by the movement ratio and circular pinion pitch and is represented as r_sw = MR/(2*pi/(Z_p*p)) or Radius of Steering Wheel = Movement Ratio/(2*pi/(Number of Teeth on Pinion*Circular Pitch of Pinion)). Movement Ratio is the ratio of the output movement to the input movement in a mechanical system. It indicates how much the system amplifies or reduces motion, Number of Teeth on Pinion refers to the total count of gear teeth around its circumference & Circular Pitch of Pinion is the distance between corresponding points on adjacent teeth, measured along the pitch circle.

How to calculate Radius of Steering Wheel given Movement Ratio and Circular Pinion Pitch?

Radius of Steering Wheel given Movement Ratio and Circular Pinion Pitch formula is defined as a measure of the radius of the steering wheel in a vehicle, which is a critical component in the steering system, and is influenced by the movement ratio and circular pinion pitch is calculated using Radius of Steering Wheel = Movement Ratio/(2*pi/(Number of Teeth on Pinion*Circular Pitch of Pinion)). To calculate Radius of Steering Wheel given Movement Ratio and Circular Pinion Pitch, you need Movement Ratio (MR), Number of Teeth on Pinion (Z_p) & Circular Pitch of Pinion (p). With our tool, you need to enter the respective value for Movement Ratio, Number of Teeth on Pinion & Circular Pitch of Pinion and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Radius of Steering Wheel?

In this formula, Radius of Steering Wheel uses Movement Ratio, Number of Teeth on Pinion & Circular Pitch of Pinion. We can use 1 other way(s) to calculate the same, which is/are as follows -

Radius of Steering Wheel = Movement Ratio*Radius of Pitch Circle of Pinion

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