Radius of Pinion Pitch Circle 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%
✖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%

✖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 Pinion Pitch Circle given Movement Ratio [r]

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Radius of Pinion Pitch Circle given Movement Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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)
Movement Ratio: 15 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r = r_sw/MR --> 0.15/15

Evaluating ... ...

r = 0.01

STEP 3: Convert Result to Output's Unit

0.01 Meter -->10 Millimeter (Check conversion here)

FINAL ANSWER

10 Millimeter <-- Radius of Pitch Circle of Pinion

(Calculation completed in 00.021 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

Radius of Pinion Pitch Circle given Movement Ratio Formula

LaTeX Go

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

What is Pinion?

A pinion is a small gear with teeth that mesh with a larger gear or rack. It's often the driving gear, converting rotational motion into linear or rotational movement depending on the system.

How to Calculate Radius of Pinion Pitch Circle given Movement Ratio?

Radius of Pinion Pitch Circle given Movement Ratio calculator uses Radius of Pitch Circle of Pinion = Radius of Steering Wheel/Movement Ratio to calculate the Radius of Pitch Circle of Pinion, Radius of Pinion Pitch Circle given Movement Ratio formula is defined as a dimension that characterizes the pitch circle of a pinion gear in a mechanical system, providing a crucial parameter for gear design and engineering applications, particularly in the context of gear trains and power transmission systems. Radius of Pitch Circle of Pinion is denoted by r symbol.

How to calculate Radius of Pinion Pitch Circle given Movement Ratio using this online calculator? To use this online calculator for Radius of Pinion Pitch Circle given Movement Ratio, enter Radius of Steering Wheel (r_sw) & Movement Ratio (MR) and hit the calculate button. Here is how the Radius of Pinion Pitch Circle given Movement Ratio calculation can be explained with given input values -> 10000 = 0.15/15.

FAQ

What is Radius of Pinion Pitch Circle given Movement Ratio?

Radius of Pinion Pitch Circle given Movement Ratio formula is defined as a dimension that characterizes the pitch circle of a pinion gear in a mechanical system, providing a crucial parameter for gear design and engineering applications, particularly in the context of gear trains and power transmission systems and is represented as r = r_sw/MR or Radius of Pitch Circle of Pinion = Radius of Steering Wheel/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 & 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 Radius of Pinion Pitch Circle given Movement Ratio?

Radius of Pinion Pitch Circle given Movement Ratio formula is defined as a dimension that characterizes the pitch circle of a pinion gear in a mechanical system, providing a crucial parameter for gear design and engineering applications, particularly in the context of gear trains and power transmission systems is calculated using Radius of Pitch Circle of Pinion = Radius of Steering Wheel/Movement Ratio. To calculate Radius of Pinion Pitch Circle given Movement Ratio, you need Radius of Steering Wheel (r_sw) & Movement Ratio (MR). With our tool, you need to enter the respective value for Radius of Steering Wheel & 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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