Radius of Steering Wheel given Movement Ratio Calculator

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Front Axle and Steering

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Movement Ratio

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✖Movement Ratio is defined as the ratio of the distance moved by the effort to the distance moved by the load.ⓘ Movement Ratio [MR]			+10% -10%
✖The Radius of Pitch Circle of Pinion is the radial distance of the tooth measuring from the pitch circle to the bottom of the tooth space.ⓘ Radius of Pitch Circle of Pinion [r]			+10% -10%

✖The Radius of Steering Wheel is the distance from the center of the steering wheel to the outermost point.ⓘ Radius of Steering Wheel given Movement Ratio [r_sw]

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Formula

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Radius of Steering Wheel given Movement Ratio

Formula

`"r"_{"sw"} = "MR"*"r"`

Example

`"150mm"="15"*"10mm"`

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Download Front Axle and Steering Formula PDF

Radius of Steering Wheel given Movement Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Steering Wheel = Movement Ratio*Radius of Pitch Circle of Pinion
r_sw = MR*r
This formula uses 3 Variables

Variables Used

Radius of Steering Wheel - (Measured in Meter) - The Radius of Steering Wheel is the distance from the center of the steering wheel to the outermost point.
Movement Ratio - Movement Ratio is defined as the ratio of the distance moved by the effort to the distance moved by the load.
Radius of Pitch Circle of Pinion - (Measured in Meter) - The Radius of Pitch Circle of Pinion is the radial distance of the tooth measuring from the pitch circle to the bottom of the tooth space.

STEP 1: Convert Input(s) to Base Unit

Movement Ratio: 15 --> No Conversion Required
Radius of Pitch Circle of Pinion: 10 Millimeter --> 0.01 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_sw = MR*r --> 15*0.01

Evaluating ... ...

r_sw = 0.15

STEP 3: Convert Result to Output's Unit

0.15 Meter -->150 Millimeter (Check conversion here)

FINAL ANSWER

150 Millimeter <-- Radius of Steering Wheel

(Calculation completed in 00.020 seconds)

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Credits

Created by Peri Krishna Karthik

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

Peri Krishna Karthik has created this Calculator and 200+ more calculators!

Verified by sanjay shiva

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

sanjay shiva has verified this Calculator and 100+ more calculators!

< 9 Movement Ratio Calculators

Radius of Steering Wheel given Movement Ratio and Circular Pinion Pitch

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

Movement Ratio given Number of Teeth on Pinion

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

Pinion Teeth given Movement Ratio

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

Radius of Pinion Pitch Circle given Movement Ratio

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

Radius of Steering Wheel given Movement Ratio

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

Movement Ratio

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

Input Effort at Steering Wheel given Movement Ratio

Go Input Effort at Stepping Wheel = Output Load at Rack/Movement Ratio

Output Load at Rack given Movement Ratio

Go Output Load at Rack = Movement Ratio*Input Effort at Stepping Wheel

Movement Ratio given Load and Effort

Go Movement Ratio = Output Load at Rack/Input Effort at Stepping Wheel

Radius of Steering Wheel given Movement Ratio Formula

Radius of Steering Wheel = Movement Ratio*Radius of Pitch Circle of Pinion
r_sw = MR*r

Rack and Pinion Steering System

It is used on light vehicles like cars and in power steering. It is simple, light and responsive and occupies a very small space and used a lesser number of linkage components compared to the worm and wheel type of gear. The rotary movement of steering wheel is transmitted with rack. The circular motion of the pinion is transformed into linear rack movement, which is further relayed through ball joints and tie rods to the stub axles for the wheels to be steered.

How to Calculate Radius of Steering Wheel given Movement Ratio?

Radius of Steering Wheel given Movement Ratio calculator uses Radius of Steering Wheel = Movement Ratio*Radius of Pitch Circle of Pinion to calculate the Radius of Steering Wheel, The Radius of steering wheel given movement ratio formula is used to find the distance from the center of the steering wheel to the outermost point. Radius of Steering Wheel is denoted by r_sw symbol.

How to calculate Radius of Steering Wheel given Movement Ratio using this online calculator? To use this online calculator for Radius of Steering Wheel given Movement Ratio, enter Movement Ratio (MR) & Radius of Pitch Circle of Pinion (r) and hit the calculate button. Here is how the Radius of Steering Wheel given Movement Ratio calculation can be explained with given input values -> 150000 = 15*0.01.

FAQ

What is Radius of Steering Wheel given Movement Ratio?

The Radius of steering wheel given movement ratio formula is used to find the distance from the center of the steering wheel to the outermost point and is represented as r_sw = MR*r or Radius of Steering Wheel = Movement Ratio*Radius of Pitch Circle of Pinion. Movement Ratio is defined as the ratio of the distance moved by the effort to the distance moved by the load & The Radius of Pitch Circle of Pinion is the radial distance of the tooth measuring from the pitch circle to the bottom of the tooth space.

How to calculate Radius of Steering Wheel given Movement Ratio?

The Radius of steering wheel given movement ratio formula is used to find the distance from the center of the steering wheel to the outermost point is calculated using Radius of Steering Wheel = Movement Ratio*Radius of Pitch Circle of Pinion. To calculate Radius of Steering Wheel given Movement Ratio, you need Movement Ratio (MR) & Radius of Pitch Circle of Pinion (r). With our tool, you need to enter the respective value for Movement Ratio & Radius of Pitch Circle 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 & Radius of Pitch Circle of Pinion. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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