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Roll rate or Roll stiffness Formula

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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. Check FAQs

K Φ = \frac{(a^{2}) \cdot K t}{2}

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

Roll rate or Roll stiffness Example

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Here is how the Roll rate or Roll stiffness equation looks like with Values.

Here is how the Roll rate or Roll stiffness equation looks like with Units.

Here is how the Roll rate or Roll stiffness equation looks like.

72 = \frac{({1.2}^{2}) \cdot 100}{2}

72Nm/rad = \frac{({1.2m}^{2}) \cdot 100N/m}{2}

72 = \frac{({1.2}^{2}) \cdot 100}{2}

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Roll rate or Roll stiffness Solution

Follow our step by step solution on how to calculate Roll rate or Roll stiffness?

FIRST Step Consider the formula

K Φ = \frac{(a^{2}) \cdot K t}{2}

Next Step Substitute values of Variables

∴

K Φ = \frac{({1.2m}^{2}) \cdot 100N/m}{2}

Next Step Prepare to Evaluate

∴

K Φ = \frac{({1.2}^{2}) \cdot 100}{2}

LAST Step Evaluate

∴

K Φ = 72Nm/rad

Roll rate or Roll stiffness Formula Elements

Variables

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

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

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

Other formulas in Tire Rolling and Slipping category

Go Rolling Radius of Tire

R w = \frac{2}{3} \cdot R g + \frac{1}{3} \cdot R h

Go Rolling Resistance Coefficient

f r = \frac{a v}{r}

Go Rolling Resistance at Wheels

F r = P \cdot f r

Go Gradient Resistance of Vehicle

F g = M v \cdot g \cdot \sin (α)

How to Evaluate Roll rate or Roll stiffness?

Roll rate or Roll stiffness evaluator uses Roll Rate/ Roll Stiffness = ((Track Width of Vehicle^2)*Wheel Rate of Vehicle)/2 to evaluate the Roll Rate/ Roll Stiffness, Roll rate or Roll stiffness formula is defined as a measure of the resistance of a vehicle's roll axis to roll, which is a critical parameter in vehicle dynamics, affecting the vehicle's handling, stability, and safety, and is used to quantify the roll stiffness of a vehicle's suspension system. Roll Rate/ Roll Stiffness is denoted by K_Φ symbol.

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

FAQs on Roll rate or Roll stiffness

What is the formula to find Roll rate or Roll stiffness?

The formula of Roll rate or Roll stiffness is expressed as Roll Rate/ Roll Stiffness = ((Track Width of Vehicle^2)*Wheel Rate of Vehicle)/2. Here is an example- 72 = ((1.2^2)*100)/2.

How to calculate Roll rate or Roll stiffness?

With Track Width of Vehicle (a) & Wheel Rate of Vehicle (K_t) we can find Roll rate or Roll stiffness using the formula - Roll Rate/ Roll Stiffness = ((Track Width of Vehicle^2)*Wheel Rate of Vehicle)/2.

Can the Roll rate or Roll stiffness be negative?

No, the Roll rate or Roll stiffness, measured in Torsion Constant cannot be negative.

Which unit is used to measure Roll rate or Roll stiffness?

Roll rate or Roll stiffness is usually measured using the Newton Meter per Radian[Nm/rad] for Torsion Constant. Newton Centimeter per Radian[Nm/rad] are the few other units in which Roll rate or Roll stiffness can be measured.

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Roll rate or Roll stiffness Formula

Roll rate or Roll stiffness Example

Roll rate or Roll stiffness Solution

Roll rate or Roll stiffness Formula Elements

Other formulas in Tire Rolling and Slipping category

How to Evaluate Roll rate or Roll stiffness?

FAQs on Roll rate or Roll stiffness

Variable Name