## Track Width of Vehicle given Wheel rate and Roll rate Solution

STEP 0: Pre-Calculation Summary
Formula Used
Track Width of Vehicle = sqrt((2*Roll rate/ Roll stiffness)/Wheel rate of vehicle)
a = sqrt((2*KΦ)/Kt)
This formula uses 1 Functions, 3 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Track Width of Vehicle - (Measured in Meter) - Track Width of Vehicle is the distance between the center line of each of the two wheels on the same axle (front/rear axle).
Roll rate/ Roll stiffness - (Measured in Newton Meter per Radian) - Roll rate/ Roll stiffness is the resistance moment generated per unit of roll angle of the sprung mass, and it has SI units of Nm/rad.
Wheel rate of vehicle - (Measured in Newton per Meter) - Wheel rate of vehicle is effectively the spring rate when measured at the wheel as opposed to at the spring.
STEP 1: Convert Input(s) to Base Unit
Roll rate/ Roll stiffness: 40000 Newton Meter per Radian --> 40000 Newton Meter per Radian No Conversion Required
Wheel rate of vehicle: 100 Newton per Meter --> 100 Newton per Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
a = sqrt((2*KΦ)/Kt) --> sqrt((2*40000)/100)
Evaluating ... ...
a = 28.2842712474619
STEP 3: Convert Result to Output's Unit
28.2842712474619 Meter --> No Conversion Required
28.2842712474619 28.28427 Meter <-- Track Width of Vehicle
(Calculation completed in 00.007 seconds)
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## <Race Car Vehicle Dynamics Calculators

Spring rate provided Wheel rate
​ Go Stiffness of Spring = Wheel rate of vehicle/(((Motion ratio in suspension)^2)*(cos(Angle of spring/shock absorber from vertical)))
Wheel rate in vehicle
​ Go Wheel rate of vehicle = Stiffness of Spring*((Motion ratio in suspension)^2)*(Spring angle correction factor)
Spring angle correction factor
​ Go Spring angle correction factor = cos(Angle of spring/shock absorber from vertical)
Roll rate or Roll stiffness
​ Go Roll rate/ Roll stiffness = ((Track Width of Vehicle^2)*Wheel rate of vehicle)/2

## Track Width of Vehicle given Wheel rate and Roll rate Formula

Track Width of Vehicle = sqrt((2*Roll rate/ Roll stiffness)/Wheel rate of vehicle)
a = sqrt((2*KΦ)/Kt)

## Track width of vehicle

The track width of the vehicle is the distance between the center line of each of the two wheels on the same axle (front/rear axle).

## How to Calculate Track Width of Vehicle given Wheel rate and Roll rate?

Track Width of Vehicle given Wheel rate and Roll rate calculator uses Track Width of Vehicle = sqrt((2*Roll rate/ Roll stiffness)/Wheel rate of vehicle) to calculate the Track Width of Vehicle, The Track Width of Vehicle given Wheel rate and Roll rate formula is the distance between the center line of each of the two wheels on the same axle (front/rear axle). Track Width of Vehicle is denoted by a symbol.

How to calculate Track Width of Vehicle given Wheel rate and Roll rate using this online calculator? To use this online calculator for Track Width of Vehicle given Wheel rate and Roll rate, enter Roll rate/ Roll stiffness (KΦ) & Wheel rate of vehicle (Kt) and hit the calculate button. Here is how the Track Width of Vehicle given Wheel rate and Roll rate calculation can be explained with given input values -> 28.28427 = sqrt((2*40000)/100).

### FAQ

What is Track Width of Vehicle given Wheel rate and Roll rate?
The Track Width of Vehicle given Wheel rate and Roll rate formula is the distance between the center line of each of the two wheels on the same axle (front/rear axle) and is represented as a = sqrt((2*KΦ)/Kt) or Track Width of Vehicle = sqrt((2*Roll rate/ Roll stiffness)/Wheel rate of vehicle). Roll rate/ Roll stiffness is the resistance moment generated per unit of roll angle of the sprung mass, and it has SI units of Nm/rad & Wheel rate of vehicle is effectively the spring rate when measured at the wheel as opposed to at the spring.
How to calculate Track Width of Vehicle given Wheel rate and Roll rate?
The Track Width of Vehicle given Wheel rate and Roll rate formula is the distance between the center line of each of the two wheels on the same axle (front/rear axle) is calculated using Track Width of Vehicle = sqrt((2*Roll rate/ Roll stiffness)/Wheel rate of vehicle). To calculate Track Width of Vehicle given Wheel rate and Roll rate, you need Roll rate/ Roll stiffness (KΦ) & Wheel rate of vehicle (Kt). With our tool, you need to enter the respective value for Roll rate/ Roll stiffness & Wheel rate of vehicle 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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