## Curb force for driven wheel Solution

STEP 0: Pre-Calculation Summary
Formula Used
Curb force for a driven wheel = (Weight on single wheel*Contact point distance from wheel center axis)/(Effective Radius of Wheel-Height of curb)
F = (G*s)/(rd-h)
This formula uses 5 Variables
Variables Used
Curb force for a driven wheel - (Measured in Newton) - Curb force for a driven wheel is defined as the force needed to climb a curb for the driven wheel with no traction force at the contact point of curb and wheel.
Weight on single wheel - (Measured in Newton) - Weight on single wheel is defined as the weight force acting on the single wheel of vehicle.
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
Weight on single wheel: 5000 Newton --> 5000 Newton No Conversion Required
Contact point distance from wheel center axis: 0.28 Meter --> 0.28 Meter No Conversion Required
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
F = (G*s)/(rd-h) --> (5000*0.28)/(0.45-0.14)
Evaluating ... ...
F = 4516.12903225807
STEP 3: Convert Result to Output's Unit
4516.12903225807 Newton --> No Conversion Required
4516.12903225807 Newton <-- Curb force for a driven wheel
(Calculation completed in 00.032 seconds)
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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

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Slip ratio defined according to Goodyear

## Slip ratio defined according to Goodyear

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

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

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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

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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"

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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"

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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"

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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"

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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)

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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

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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"

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

## Curb force for driven wheel Formula

Curb force for a driven wheel = (Weight on single wheel*Contact point distance from wheel center axis)/(Effective Radius of Wheel-Height of curb)
F = (G*s)/(rd-h)

## What is curb force for a driven wheel?

When designing a new vehicle or a new powertrain and driveline, the ability of the vehicle to climb a curb (kerb) must be taken into account as initial requirement. Curb climbing is the ability of the vehicle to climb a curb, from standstill, with the wheel in contact with the curb. The case in which there is not traction force generate at the wheel, instead the wheel is pushed through the wheel hub; this is the case in which the vehicle is rear-wheel drive and the curb is climbed by the front wheel

## How to Calculate Curb force for driven wheel?

Curb force for driven wheel calculator uses Curb force for a driven wheel = (Weight on single wheel*Contact point distance from wheel center axis)/(Effective Radius of Wheel-Height of curb) to calculate the Curb force for a driven wheel, The Curb force for driven wheel formula is defined as the force needed to climb a curb for the driven wheel with no traction force at the contact point of curb and wheel. Curb force for a driven wheel is denoted by F symbol.

How to calculate Curb force for driven wheel using this online calculator? To use this online calculator for Curb force for driven wheel, enter Weight on single wheel (G), Contact point distance from wheel center axis (s), Effective Radius of Wheel (rd) & Height of curb (h) and hit the calculate button. Here is how the Curb force for driven wheel calculation can be explained with given input values -> 4516.129 = (5000*0.28)/(0.45-0.14).

### FAQ

What is Curb force for driven wheel?
The Curb force for driven wheel formula is defined as the force needed to climb a curb for the driven wheel with no traction force at the contact point of curb and wheel and is represented as F = (G*s)/(rd-h) or Curb force for a driven wheel = (Weight on single wheel*Contact point distance from wheel center axis)/(Effective Radius of Wheel-Height of curb). Weight on single wheel is defined as the weight force acting on the single wheel of vehicle, Contact point distance from wheel center axis is defined as the horizontal distance between contact point of curb and wheel and wheel' center axis, 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 Curb force for driven wheel?
The Curb force for driven wheel formula is defined as the force needed to climb a curb for the driven wheel with no traction force at the contact point of curb and wheel is calculated using Curb force for a driven wheel = (Weight on single wheel*Contact point distance from wheel center axis)/(Effective Radius of Wheel-Height of curb). To calculate Curb force for driven wheel, you need Weight on single wheel (G), Contact point distance from wheel center axis (s), Effective Radius of Wheel (rd) & Height of curb (h). With our tool, you need to enter the respective value for Weight on single wheel, Contact point distance from wheel center axis, 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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