Roll rate or Roll stiffness Calculator

✖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.ⓘ Track Width of Vehicle [a]			+10% -10%
✖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.ⓘ Wheel Rate of Vehicle [K_t]			+10% -10%

✖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.ⓘ Roll rate or Roll stiffness [K_Φ]

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Roll rate or Roll stiffness Solution

STEP 0: Pre-Calculation Summary

Formula Used

Roll Rate/ Roll Stiffness = ((Track Width of Vehicle^2)*Wheel Rate of Vehicle)/2
K_Φ = ((a^2)*K_t)/2
This formula uses 3 Variables

Variables Used

Roll Rate/ Roll Stiffness - (Measured in Newton Meter per Radian) - 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.
Track Width of Vehicle - (Measured in Meter) - 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.
Wheel Rate of Vehicle - (Measured in Newton per Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Track Width of Vehicle: 1.2 Meter --> 1.2 Meter 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

K_Φ = ((a^2)*K_t)/2 --> ((1.2^2)*100)/2

Evaluating ... ...

K_Φ = 72

STEP 3: Convert Result to Output's Unit

72 Newton Meter per Radian --> No Conversion Required

FINAL ANSWER

72 Newton Meter per Radian <-- Roll Rate/ Roll Stiffness

(Calculation completed in 00.020 seconds)

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Home » Physics » Automobile » Race Car Vehicle Dynamics » Tire Behavior in Racing Car » Mechanical » Tire Rolling and Slipping » Roll rate or Roll stiffness

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Created by Vivek Gaikwad

AISSMS College of Engineering, Pune (AISSMSCOE, Pune), Pune

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National Institute Of Technology (NIT), Hamirpur

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< Tire Rolling and Slipping Calculators

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Rolling Resistance at Wheels

LaTeX Go Rolling Resistance at Wheel = Normal Load on Wheels*Rolling Resistance Coefficient

Rolling Radius of Tire

LaTeX Go Rolling Radius of Tire = 2/3*Geometrical Radius of Tire+1/3*Loaded Height of Tire

Roll rate or Roll stiffness Formula

LaTeX Go

Roll Rate/ Roll Stiffness = ((Track Width of Vehicle^2)*Wheel Rate of Vehicle)/2
K_Φ = ((a^2)*K_t)/2

What is Roll Rate or Stiffness?

When cornering, the sprung mass of the car will roll by an amount Φ, the roll angle. This is reacted by the roll stiffness (or roll rate), KΦ of the car. Roll stiffness is defined as the resistance moment generated per unit of the roll angle of the sprung mass, and it has SI units of Nm/rad.

How to Calculate Roll rate or Roll stiffness?

Roll rate or Roll stiffness calculator uses Roll Rate/ Roll Stiffness = ((Track Width of Vehicle^2)*Wheel Rate of Vehicle)/2 to calculate 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 calculate Roll rate or Roll stiffness using this online calculator? To use this online calculator for Roll rate or Roll stiffness, enter Track Width of Vehicle (a) & Wheel Rate of Vehicle (K_t) and hit the calculate button. Here is how the Roll rate or Roll stiffness calculation can be explained with given input values -> 72 = ((1.2^2)*100)/2.

FAQ

What is Roll rate or 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 and is represented as K_Φ = ((a^2)*K_t)/2 or Roll Rate/ Roll Stiffness = ((Track Width of Vehicle^2)*Wheel Rate of Vehicle)/2. 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 & 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.

How to calculate Roll rate or 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 is calculated using Roll Rate/ Roll Stiffness = ((Track Width of Vehicle^2)*Wheel Rate of Vehicle)/2. To calculate Roll rate or Roll stiffness, you need Track Width of Vehicle (a) & Wheel Rate of Vehicle (K_t). With our tool, you need to enter the respective value for Track Width of Vehicle & 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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