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Track Width of Vehicle given Wheel rate and Roll rate Formula

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Track Width of Vehicle is the distance between the centerlines of the left and right tires, affecting the racing car's stability and handling performance. Check FAQs

a = \sqrt{\frac{2 \cdot K Φ}{K t}}

a - Track Width of Vehicle?K_Φ - Roll Rate/ Roll Stiffness?K_t - Wheel Rate of Vehicle?

Track Width of Vehicle given Wheel rate and Roll rate Example

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Here is how the Track Width of Vehicle given Wheel rate and Roll rate equation looks like with Values.

Here is how the Track Width of Vehicle given Wheel rate and Roll rate equation looks like with Units.

Here is how the Track Width of Vehicle given Wheel rate and Roll rate equation looks like.

1.2 = \sqrt{\frac{2 \cdot 72}{100}}

1.2m = \sqrt{\frac{2 \cdot 72Nm/rad}{100N/m}}

1.2 = \sqrt{\frac{2 \cdot 72}{100}}

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Track Width of Vehicle given Wheel rate and Roll rate Solution

Follow our step by step solution on how to calculate Track Width of Vehicle given Wheel rate and Roll rate?

FIRST Step Consider the formula

a = \sqrt{\frac{2 \cdot K Φ}{K t}}

Next Step Substitute values of Variables

∴

a = \sqrt{\frac{2 \cdot 72Nm/rad}{100N/m}}

Next Step Prepare to Evaluate

∴

a = \sqrt{\frac{2 \cdot 72}{100}}

LAST Step Evaluate

∴

a = 1.2m

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

Variables

Functions

Track Width of Vehicle

Track Width of Vehicle is the distance between the centerlines of the left and right tires, affecting the racing car's stability and handling performance.

Symbol: a

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Track Width of Vehicle

Roll Rate/ Roll Stiffness

Roll Rate/ Roll Stiffness is the measure of a racing car's tire behavior, describing how the tire responds to roll and maintains contact with the racing surface.

Symbol: K_Φ

Measurement: Torsion ConstantUnit: Nm/rad

Note: Value should be greater than 0.

Formulas to find Roll Rate/ Roll Stiffness

Wheel Rate of Vehicle

Wheel Rate of Vehicle is the ratio of the spring rate of the suspension to the motion ratio of the tire, affecting the racing car's handling and stability.

Symbol: K_t

Measurement: Surface TensionUnit: N/m

Note: Value should be greater than 0.

Formulas to find Wheel Rate of Vehicle

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.

Syntax: sqrt(Number)

Other formulas in Wheel Parameters category

Go Angle between Traction Force and Horizontal Axis

θ = a \sin (1 - \frac{h curb}{r d})

Go Tire Side Wall Height

H = \frac{AR \cdot W}{100}

Go Aspect Ratio of Tire

AR = \frac{H}{W} \cdot 100

Go Wheel Diameter of Vehicle

d w = D + 2 \cdot H

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

Track Width of Vehicle given Wheel rate and Roll rate evaluator uses Track Width of Vehicle = sqrt((2*Roll Rate/ Roll Stiffness)/Wheel Rate of Vehicle) to evaluate the Track Width of Vehicle, Track Width of Vehicle given Wheel rate and Roll rate formula is defined as a measure of the lateral distance between the centerlines of the left and right wheels of a vehicle, which is essential in understanding the vehicle's stability and handling characteristics. Track Width of Vehicle is denoted by a symbol.

How to evaluate Track Width of Vehicle given Wheel rate and Roll rate using this online evaluator? To use this online evaluator for Track Width of Vehicle given Wheel rate and Roll rate, enter Roll Rate/ Roll Stiffness (K_Φ) & Wheel Rate of Vehicle (K_t) and hit the calculate button.

FAQs on Track Width of Vehicle given Wheel rate and Roll rate

What is the formula to find Track Width of Vehicle given Wheel rate and Roll rate?

The formula of Track Width of Vehicle given Wheel rate and Roll rate is expressed as Track Width of Vehicle = sqrt((2*Roll Rate/ Roll Stiffness)/Wheel Rate of Vehicle). Here is an example- 28.28427 = sqrt((2*72)/100).

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

With Roll Rate/ Roll Stiffness (K_Φ) & Wheel Rate of Vehicle (K_t) we can find Track Width of Vehicle given Wheel rate and Roll rate using the formula - Track Width of Vehicle = sqrt((2*Roll Rate/ Roll Stiffness)/Wheel Rate of Vehicle). This formula also uses Square Root (sqrt) function(s).

Can the Track Width of Vehicle given Wheel rate and Roll rate be negative?

No, the Track Width of Vehicle given Wheel rate and Roll rate, measured in Length cannot be negative.

Which unit is used to measure Track Width of Vehicle given Wheel rate and Roll rate?

Track Width of Vehicle given Wheel rate and Roll rate is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Track Width of Vehicle given Wheel rate and Roll rate can be measured.

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Track Width of Vehicle given Wheel rate and Roll rate Formula

Track Width of Vehicle given Wheel rate and Roll rate Example

Track Width of Vehicle given Wheel rate and Roll rate Solution

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

Other formulas in Wheel Parameters category

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

FAQs on Track Width of Vehicle given Wheel rate and Roll rate

Variable Name