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 = rsw/MR
This formula uses 3 Variables
Variables Used
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.
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.
Movement Ratio - Movement Ratio is defined as the ratio of the distance moved by the effort to the distance moved by the load.
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 = rsw/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 00.020 seconds)

Credits

National Institute of Technology Calicut (NIT Calicut), Calicut, Kerala
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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

Radius of Pinion Pitch Circle given Movement Ratio Formula

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

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 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, The Radius of pinion pitch circle given movement ratio formula is used to find the radial distance of the tooth measuring from the pitch circle to the bottom of the tooth space. 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 (rsw) & 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?
The Radius of pinion pitch circle given movement ratio formula is used to find the radial distance of the tooth measuring from the pitch circle to the bottom of the tooth space and is represented as r = rsw/MR or Radius of Pitch Circle of Pinion = Radius of Steering Wheel/Movement Ratio. The Radius of Steering Wheel is the distance from the center of the steering wheel to the outermost point & Movement Ratio is defined as the ratio of the distance moved by the effort to the distance moved by the load.
How to calculate Radius of Pinion Pitch Circle given Movement Ratio?
The Radius of pinion pitch circle given movement ratio formula is used to find the radial distance of the tooth measuring from the pitch circle to the bottom of the tooth space 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 (rsw) & 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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