## Contact point of wheel and curb distance from wheel center axis Solution

STEP 0: Pre-Calculation Summary
Formula Used
Contact point distance from wheel center axis = sqrt(2*Effective Radius of Wheel*(Height of curb-Height of curb^2))
s = sqrt(2*rd*(h-h^2))
This formula uses 1 Functions, 3 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Contact point distance from wheel center axis - (Measured in Meter) - Contact point distance from wheel center axis is defined as the horizontal distance between contact point of curb and wheel and wheel' center axis.
Effective Radius of Wheel - (Measured in Meter) - The Effective radius of Wheel is the radius of the part of the wheel which remains undeformed while rolling.
Height of curb - (Measured in Meter) - Height of curb is defined as the vertical length of the edge or curb which is climbed by the wheel.
STEP 1: Convert Input(s) to Base Unit
Effective Radius of Wheel: 0.45 Meter --> 0.45 Meter No Conversion Required
Height of curb: 0.14 Meter --> 0.14 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
s = sqrt(2*rd*(h-h^2)) --> sqrt(2*0.45*(0.14-0.14^2))
Evaluating ... ...
s = 0.329180801384285
STEP 3: Convert Result to Output's Unit
0.329180801384285 Meter --> No Conversion Required
0.329180801384285 Meter <-- Contact point distance from wheel center axis
(Calculation completed in 00.016 seconds)
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## Credits

Created by Syed Adnan
Ramaiah University of Applied Sciences (RUAS), bangalore
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National Institute Of Technology (NIT), Hamirpur
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## < 10+ Tire Behavior Calculators

Slip ratio defined according to Calspan TIRF

## Slip ratio defined according to Calspan TIRF

Formula
"SR" = ("Ω"_{"w"}*"R"_{"l"}/("V"*cos("α")))-1

Example
"0.739954"=("65rad/s"*"0.8m"/("30m/s"*cos("5°")))-1

Calculator
LaTeX
Slip ratio = (Wheel Angular Velocity*Height of Axle above Road Surface (Loaded Radius)/(Axle speed over the roadway*cos(Slip angle)))-1
Slip ratio defined according to Goodyear

## Slip ratio defined according to Goodyear

Formula
"SR" = 1-(("V"*cos("α"))/("Ω"_{"w"}*"R"_{"e"}))

Example
"0.233696"=1-(("30m/s"*cos("5°"))/("65rad/s"*"0.6m"))

Calculator
LaTeX
Slip ratio = 1-((Axle speed over the roadway*cos(Slip angle))/(Wheel Angular Velocity*Effective Rolling Radius for Free Rolling))
Slip ratio defined according to SAE J670

## Slip ratio defined according to SAE J670

Formula
"SR" = ("Ω"_{"w"}*"R"_{"e"}/("V"*cos("α")))-1

Example
"0.304966"=("65rad/s"*"0.6m"/("30m/s"*cos("5°")))-1

Calculator
LaTeX
Slip ratio = (Wheel Angular Velocity*Effective Rolling Radius for Free Rolling/(Axle speed over the roadway*cos(Slip angle)))-1
Angular Velocity of driven wheel given longitudinal slip velocity, velocity of free rolling wheel

## Angular Velocity of driven wheel given longitudinal slip velocity, velocity of free rolling wheel

Formula
"Ω" = "s"+"Ω"_{"0"}

Example
"60rad/s"="10rad/s"+"50rad/s"

Calculator
LaTeX
Angular velocity of the driven (or braked) wheel = Longitudinal (Angular) Slip Velocity+Angular velocity of the free rolling wheel
Angular Velocity of free rolling wheel given longitudinal slip velocity, velocity of driven wheel

## Angular Velocity of free rolling wheel given longitudinal slip velocity, velocity of driven wheel

Formula
"Ω"_{"0"} = "Ω"-"s"

Example
"50rad/s"="60rad/s"-"10rad/s"

Calculator
LaTeX
Angular velocity of the free rolling wheel = Angular velocity of the driven (or braked) wheel-Longitudinal (Angular) Slip Velocity
Longitudinal Slip Velocity for zero slip angle

## Longitudinal Slip Velocity for zero slip angle

Formula
"s" = "Ω"-"Ω"_{"0"}

Example
"10rad/s"="60rad/s"-"50rad/s"

Calculator
LaTeX
Longitudinal (Angular) Slip Velocity = Angular velocity of the driven (or braked) wheel-Angular velocity of the free rolling wheel
Angular Velocity of driven wheel given Slip Ratio and Angular Velocity of free rolling wheel

## Angular Velocity of driven wheel given Slip Ratio and Angular Velocity of free rolling wheel

Formula
"Ω" = ("SR"+1)*"Ω"_{"0"}

Example
"51rad/s"=("0.02"+1)*"50rad/s"

Calculator
LaTeX
Angular velocity of the driven (or braked) wheel = (Slip ratio+1)*Angular velocity of the free rolling wheel
Angular Velocity of Free Rolling wheel given Slip Ratio and Angular Velocity of driven wheel

## Angular Velocity of Free Rolling wheel given Slip Ratio and Angular Velocity of driven wheel

Formula
"Ω"_{"0"} = "Ω"/("SR"+1)

Example
"58.82353rad/s"="60rad/s"/("0.02"+1)

Calculator
LaTeX
Angular velocity of the free rolling wheel = Angular velocity of the driven (or braked) wheel/(Slip ratio+1)
Slip Ratio given Velocity of driven wheel and free rolling wheel

## Slip Ratio given Velocity of driven wheel and free rolling wheel

Formula
"SR" = ("Ω"/"Ω"_{"0"})-1

Example
"0.2"=("60rad/s"/"50rad/s")-1

Calculator
LaTeX
Slip ratio = (Angular velocity of the driven (or braked) wheel/Angular velocity of the free rolling wheel)-1
Slip Ratio given Longitudinal Slip Velocity and Velocity of free rolling wheel

## Slip Ratio given Longitudinal Slip Velocity and Velocity of free rolling wheel

Formula
"SR" = "s"/"Ω"_{"0"}

Example
"0.2"="10rad/s"/"50rad/s"

Calculator
LaTeX
Slip ratio = Longitudinal (Angular) Slip Velocity/Angular velocity of the free rolling wheel

## Contact point of wheel and curb distance from wheel center axis Formula

Contact point distance from wheel center axis = sqrt(2*Effective Radius of Wheel*(Height of curb-Height of curb^2))
s = sqrt(2*rd*(h-h^2))

## What is the contact point distance from wheel center axis?

Contact point distance from wheel center axis is defined as the horizontal distance between contact point of curb and wheel and wheel' center axis.

## How to Calculate Contact point of wheel and curb distance from wheel center axis?

Contact point of wheel and curb distance from wheel center axis calculator uses Contact point distance from wheel center axis = sqrt(2*Effective Radius of Wheel*(Height of curb-Height of curb^2)) to calculate the Contact point distance from wheel center axis, The Contact point of wheel and curb distance from wheel center axis formula is defined as the horizontal distance between contact point of curb and wheel and wheel' center axis. Contact point distance from wheel center axis is denoted by s symbol.

How to calculate Contact point of wheel and curb distance from wheel center axis using this online calculator? To use this online calculator for Contact point of wheel and curb distance from wheel center axis, enter Effective Radius of Wheel (rd) & Height of curb (h) and hit the calculate button. Here is how the Contact point of wheel and curb distance from wheel center axis calculation can be explained with given input values -> 0.329181 = sqrt(2*0.45*(0.14-0.14^2)).

### FAQ

What is Contact point of wheel and curb distance from wheel center axis?
The Contact point of wheel and curb distance from wheel center axis formula is defined as the horizontal distance between contact point of curb and wheel and wheel' center axis and is represented as s = sqrt(2*rd*(h-h^2)) or Contact point distance from wheel center axis = sqrt(2*Effective Radius of Wheel*(Height of curb-Height of curb^2)). The Effective radius of Wheel is the radius of the part of the wheel which remains undeformed while rolling & Height of curb is defined as the vertical length of the edge or curb which is climbed by the wheel.
How to calculate Contact point of wheel and curb distance from wheel center axis?
The Contact point of wheel and curb distance from wheel center axis formula is defined as the horizontal distance between contact point of curb and wheel and wheel' center axis is calculated using Contact point distance from wheel center axis = sqrt(2*Effective Radius of Wheel*(Height of curb-Height of curb^2)). To calculate Contact point of wheel and curb distance from wheel center axis, you need Effective Radius of Wheel (rd) & Height of curb (h). With our tool, you need to enter the respective value for Effective Radius of Wheel & Height of curb 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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