Pinion Teeth given 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%
✖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 [MR]			+10% -10%

✖Number of Teeth on Pinion refers to the total count of gear teeth around its circumference.ⓘ Pinion Teeth given Movement Ratio [Z_p]

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Pinion Teeth given Movement Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Number of Teeth on Pinion - Number of Teeth on Pinion refers to the total count of gear teeth around its circumference.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Radius of Steering Wheel: 150 Millimeter --> 0.15 Meter (Check conversion here)
Circular Pitch of Pinion: 6.98131701 Millimeter --> 0.00698131701 Meter (Check conversion here)
Movement Ratio: 15 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Z_p = (2*pi*r_sw)/(p*MR) --> (2*pi*0.15)/(0.00698131701*15)

Evaluating ... ...

Z_p = 8.99999999739245

STEP 3: Convert Result to Output's Unit

8.99999999739245 --> No Conversion Required

FINAL ANSWER

8.99999999739245 ≈ 9 <-- Number of Teeth on Pinion

(Calculation completed in 00.004 seconds)

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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

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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

Pinion Teeth given Movement Ratio Formula

LaTeX Go

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

What is steering Wheel?

A steering wheel is a circular control that a driver turns to direct a vehicle. It connects to the steering system, translating the driver's input into wheel movement for changing direction.

How to Calculate Pinion Teeth given Movement Ratio?

Pinion Teeth given Movement Ratio calculator uses Number of Teeth on Pinion = (2*pi*Radius of Steering Wheel)/(Circular Pitch of Pinion*Movement Ratio) to calculate the Number of Teeth on Pinion, Pinion Teeth given Movement Ratio formula is defined as the number of teeth on the pinion gear in a gear train system, which is a critical component in mechanical power transmission, and is determined by the movement ratio and other key parameters of the system. Number of Teeth on Pinion is denoted by Z_p symbol.

How to calculate Pinion Teeth given Movement Ratio using this online calculator? To use this online calculator for Pinion Teeth given Movement Ratio, enter Radius of Steering Wheel (r_sw), Circular Pitch of Pinion (p) & Movement Ratio (MR) and hit the calculate button. Here is how the Pinion Teeth given Movement Ratio calculation can be explained with given input values -> 9.001698 = (2*pi*0.15)/(0.00698131701*15).

FAQ

What is Pinion Teeth given Movement Ratio?

Pinion Teeth given Movement Ratio formula is defined as the number of teeth on the pinion gear in a gear train system, which is a critical component in mechanical power transmission, and is determined by the movement ratio and other key parameters of the system and is represented as Z_p = (2*pi*r_sw)/(p*MR) or Number of Teeth on Pinion = (2*pi*Radius of Steering Wheel)/(Circular Pitch of Pinion*Movement Ratio). 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, Circular Pitch of Pinion is the distance between corresponding points on adjacent teeth, measured along the pitch circle & 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.

How to calculate Pinion Teeth given Movement Ratio?

Pinion Teeth given Movement Ratio formula is defined as the number of teeth on the pinion gear in a gear train system, which is a critical component in mechanical power transmission, and is determined by the movement ratio and other key parameters of the system is calculated using Number of Teeth on Pinion = (2*pi*Radius of Steering Wheel)/(Circular Pitch of Pinion*Movement Ratio). To calculate Pinion Teeth given Movement Ratio, you need Radius of Steering Wheel (r_sw), Circular Pitch of Pinion (p) & Movement Ratio (MR). With our tool, you need to enter the respective value for Radius of Steering Wheel, Circular Pitch of Pinion & Movement Ratio and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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