Movement Ratio Calculator

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Front Axle and Steering

Driveline

Race Car Vehicle Dynamics

Suspension Geometry

Vehicle Collision

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Movement Ratio

Moments, Loads, Angles acting on Steering system and Axles

Pivot Centre, Wheel Base and Track

Steering System

Turning Radius

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

✖Movement Ratio is defined as the ratio of the distance moved by the effort to the distance moved by the load.ⓘ Movement Ratio [MR]

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Formula

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Movement Ratio

Formula

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

Example

`"15"="150mm"/"10mm"`

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Download Front Axle and Steering Formula PDF PDF Image

Movement Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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 Steering Wheel - (Measured in Meter) - The Radius of Steering Wheel is the distance from the center of the steering wheel to the outermost point.
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

Radius of Steering Wheel: 150 Millimeter --> 0.15 Meter (Check conversion here)
Radius of Pitch Circle of Pinion: 10 Millimeter --> 0.01 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

MR = r_sw/r --> 0.15/0.01

Evaluating ... ...

MR = 15

STEP 3: Convert Result to Output's Unit

15 --> No Conversion Required

FINAL ANSWER

15 <-- Movement Ratio

(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

Movement Ratio Formula

Movement Ratio = Radius of Steering Wheel/Radius of Pitch Circle of Pinion
MR = r_sw/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 Movement Ratio?

Movement Ratio calculator uses Movement Ratio = Radius of Steering Wheel/Radius of Pitch Circle of Pinion to calculate the Movement Ratio, The Movement ratio formula is used to find the ratio of the distance moved by the effort to the distance moved by the load. Movement Ratio is denoted by MR symbol.

How to calculate Movement Ratio using this online calculator? To use this online calculator for Movement Ratio, enter Radius of Steering Wheel (r_sw) & Radius of Pitch Circle of Pinion (r) and hit the calculate button. Here is how the Movement Ratio calculation can be explained with given input values -> 15 = 0.15/0.01.

FAQ

What is Movement Ratio?

The Movement ratio formula is used to find the ratio of the distance moved by the effort to the distance moved by the load and is represented as MR = r_sw/r or Movement Ratio = Radius of Steering Wheel/Radius of Pitch Circle of Pinion. The Radius of Steering Wheel is the distance from the center of the steering wheel to the outermost point & 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 Movement Ratio?

The Movement ratio formula is used to find the ratio of the distance moved by the effort to the distance moved by the load is calculated using Movement Ratio = Radius of Steering Wheel/Radius of Pitch Circle of Pinion. To calculate Movement Ratio, you need Radius of Steering Wheel (r_sw) & Radius of Pitch Circle of Pinion (r). With our tool, you need to enter the respective value for Radius of Steering Wheel & 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 Movement Ratio?

In this formula, Movement Ratio uses Radius of Steering Wheel & Radius of Pitch Circle of Pinion. We can use 2 other way(s) to calculate the same, which is/are as follows -

Movement Ratio = 2*pi*Radius of Steering Wheel/(Number of Teeth on Pnion*Circular Pitch of Pinion)
Movement Ratio = Output Load at Rack/Input Effort at Stepping Wheel

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