Movement Ratio given Number of Teeth on Pinion 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%
✖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%

✖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 given Number of Teeth on Pinion [MR]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Front Axle and Steering Formula PDF PDF Image

Movement Ratio given Number of Teeth on Pinion Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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.
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

Radius of Steering Wheel: 150 Millimeter --> 0.15 Meter (Check conversion here)
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

MR = 2*pi*r_sw/(Z_p*p) --> 2*pi*0.15/(9*0.00698131701)

Evaluating ... ...

MR = 14.9999999956541

STEP 3: Convert Result to Output's Unit

14.9999999956541 --> No Conversion Required

FINAL ANSWER

14.9999999956541 ≈ 15 <-- Movement Ratio

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Automobile » Front Axle and Steering » Mechanical » Movement Ratio » Movement Ratio given Number of Teeth on Pinion

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 given Number of Teeth on Pinion Formula

LaTeX Go

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

What is Teeth on Pinion ?

Teeth on a pinion are the individual projections that mesh with the rack in a steering system.Their number affects steering ratio and feel. Fewer teeth generally provide quicker steering response but might feel less direct.

How to Calculate Movement Ratio given Number of Teeth on Pinion?

Movement Ratio given Number of Teeth on Pinion calculator uses Movement Ratio = 2*pi*Radius of Steering Wheel/(Number of Teeth on Pinion*Circular Pitch of Pinion) to calculate the Movement Ratio, Movement Ratio given Number of Teeth on Pinion formula is defined as a dimensionless quantity that characterizes the gear ratio of a pair of gears, providing a relative measure of the rotational speed and torque between the pinion and the gear. It is an essential parameter in gear design and analysis, influencing the overall performance and efficiency of the mechanical system. Movement Ratio is denoted by MR symbol.

How to calculate Movement Ratio given Number of Teeth on Pinion using this online calculator? To use this online calculator for Movement Ratio given Number of Teeth on Pinion, enter Radius of Steering Wheel (r_sw), Number of Teeth on Pinion (Z_p) & Circular Pitch of Pinion (p) and hit the calculate button. Here is how the Movement Ratio given Number of Teeth on Pinion calculation can be explained with given input values -> 15.00283 = 2*pi*0.15/(9*0.00698131701).

FAQ

What is Movement Ratio given Number of Teeth on Pinion?

Movement Ratio given Number of Teeth on Pinion formula is defined as a dimensionless quantity that characterizes the gear ratio of a pair of gears, providing a relative measure of the rotational speed and torque between the pinion and the gear. It is an essential parameter in gear design and analysis, influencing the overall performance and efficiency of the mechanical system and is represented as MR = 2*pi*r_sw/(Z_p*p) or Movement Ratio = 2*pi*Radius of Steering Wheel/(Number of Teeth on Pinion*Circular Pitch 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, 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 Movement Ratio given Number of Teeth on Pinion?

Movement Ratio given Number of Teeth on Pinion formula is defined as a dimensionless quantity that characterizes the gear ratio of a pair of gears, providing a relative measure of the rotational speed and torque between the pinion and the gear. It is an essential parameter in gear design and analysis, influencing the overall performance and efficiency of the mechanical system is calculated using Movement Ratio = 2*pi*Radius of Steering Wheel/(Number of Teeth on Pinion*Circular Pitch of Pinion). To calculate Movement Ratio given Number of Teeth on Pinion, you need Radius of Steering Wheel (r_sw), Number of Teeth on Pinion (Z_p) & Circular Pitch of Pinion (p). With our tool, you need to enter the respective value for Radius of Steering Wheel, 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 Movement Ratio?

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

Movement Ratio = Radius of Steering Wheel/Radius of Pitch Circle of Pinion
Movement Ratio = Output Load at Rack/Input Effort at Stepping Wheel

Home

FREE PDFs

🔍 Search