## Wheel rate given Roll rate Solution

STEP 0: Pre-Calculation Summary
Formula Used
Wheel rate of vehicle = (2*Roll rate/ Roll stiffness)/Track Width of Vehicle^2
Kt = (2*KΦ)/a^2
This formula uses 3 Variables
Variables Used
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.
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.
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).
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
Track Width of Vehicle: 1.2 Meter --> 1.2 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Kt = (2*KΦ)/a^2 --> (2*40000)/1.2^2
Evaluating ... ...
Kt = 55555.5555555556
STEP 3: Convert Result to Output's Unit
55555.5555555556 Newton per Meter --> No Conversion Required
55555.5555555556 55555.56 Newton per Meter <-- Wheel rate of vehicle
(Calculation completed in 00.004 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

## Wheel rate given Roll rate Formula

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

## All about Wheel rate of vehicle

Wheel rate is effectively the spring rate when measured at the wheel as opposed to at the spring. It is important to understand the wheel rate of a vehicle for calculating the spring rates and understanding the car dynamically. Wheel Rate is the effective spring rate at the wheel, due to the leverage advantage the wheel has with respect to the spring on the control arm.

## How to Calculate Wheel rate given Roll rate?

Wheel rate given Roll rate calculator uses Wheel rate of vehicle = (2*Roll rate/ Roll stiffness)/Track Width of Vehicle^2 to calculate the Wheel rate of vehicle, The Wheel rate given Roll rate is effectively the spring rate when measured at the wheel as opposed to at the spring. Wheel rate of vehicle is denoted by Kt symbol.

How to calculate Wheel rate given Roll rate using this online calculator? To use this online calculator for Wheel rate given Roll rate, enter Roll rate/ Roll stiffness (KΦ) & Track Width of Vehicle (a) and hit the calculate button. Here is how the Wheel rate given Roll rate calculation can be explained with given input values -> 55555.56 = (2*40000)/1.2^2.

### FAQ

What is Wheel rate given Roll rate?
The Wheel rate given Roll rate is effectively the spring rate when measured at the wheel as opposed to at the spring and is represented as Kt = (2*KΦ)/a^2 or Wheel rate of vehicle = (2*Roll rate/ Roll stiffness)/Track Width of Vehicle^2. 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 & Track Width of Vehicle is the distance between the center line of each of the two wheels on the same axle (front/rear axle).
How to calculate Wheel rate given Roll rate?
The Wheel rate given Roll rate is effectively the spring rate when measured at the wheel as opposed to at the spring is calculated using Wheel rate of vehicle = (2*Roll rate/ Roll stiffness)/Track Width of Vehicle^2. To calculate Wheel rate given Roll rate, you need Roll rate/ Roll stiffness (KΦ) & Track Width of Vehicle (a). With our tool, you need to enter the respective value for Roll rate/ Roll stiffness & Track Width of Vehicle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Wheel rate of vehicle?
In this formula, Wheel rate of vehicle uses Roll rate/ Roll stiffness & Track Width of Vehicle. We can use 2 other way(s) to calculate the same, which is/are as follows -
• Wheel rate of vehicle = Stiffness of Spring*((Motion ratio in suspension)^2)*(Spring angle correction factor)
• Wheel rate of vehicle = Spring rate*(Installation ratio^2)*cos(Damper angle from vertical)
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