Movement Ratio Calculator

✖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 [r_sw]			+10% -10%
✖Radius of Pitch Circle of Pinion is the distance from the center of the pinion to the pitch circle, where the gear teeth engage with the teeth of a mating gear.ⓘ Radius of Pitch Circle of Pinion [r]			+10% -10%

✖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]

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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 the ratio of the output movement to the input movement in a mechanical system. It indicates how much the system amplifies or reduces motion.
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.
Radius of Pitch Circle of Pinion - (Measured in Meter) - Radius of Pitch Circle of Pinion is the distance from the center of the pinion to the pitch circle, where the gear teeth engage with the teeth of a mating gear.

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 00.006 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!

< 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

Movement Ratio Formula

LaTeX Go

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

What is Pinion Steering System?

A pinion steering system uses gears to convert the circular motion of the steering wheel into linear motion. It consists of a pinion gear and a rack. Turning the steering wheel rotates the pinion, which moves the rack, controlling the wheels' direction. It's common in modern cars for its efficiency and precise steering.

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, Movement Ratio formula is defined as a measure of the relationship between the rate of return of a portfolio and the rate of return of a benchmark, providing insights into the portfolio's performance relative to the benchmark. 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?

Movement Ratio formula is defined as a measure of the relationship between the rate of return of a portfolio and the rate of return of a benchmark, providing insights into the portfolio's performance relative to the benchmark and is represented as MR = r_sw/r or Movement Ratio = Radius of Steering Wheel/Radius of Pitch Circle of Pinion. 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 Pitch Circle of Pinion is the distance from the center of the pinion to the pitch circle, where the gear teeth engage with the teeth of a mating gear.

How to calculate Movement Ratio?

Movement Ratio formula is defined as a measure of the relationship between the rate of return of a portfolio and the rate of return of a benchmark, providing insights into the portfolio's performance relative to the benchmark 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 Pinion*Circular Pitch of Pinion)
Movement Ratio = Output Load at Rack/Input Effort at Stepping Wheel

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