FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Stiffness of Spring provided Wheel rate Formula

GoSpring rate required for coilover given desired droop and motion ratio Formula

Fx Copy

LaTeX Copy

Stiffness of Spring is the measure of a spring's resistance to deformation in a racing car's tire behavior, affecting its overall performance and handling. Check FAQs

k = \frac{K t}{({(M.R.)}^{2}) \cdot (cosθ)}

k - Stiffness of Spring?K_t - Wheel Rate of Vehicle?M.R. - Motion Ratio in Suspension?cosθ - Spring Angle Correction Factor?

Stiffness of Spring provided Wheel rate Example

With values

With units

Only example

Here is how the Stiffness of Spring provided Wheel rate equation looks like with Values.

Here is how the Stiffness of Spring provided Wheel rate equation looks like with Units.

Here is how the Stiffness of Spring provided Wheel rate equation looks like.

160.8931 = \frac{100}{({(0.85)}^{2}) \cdot (0.8602)}

160.8931N/m = \frac{100N/m}{({(0.85)}^{2}) \cdot (0.8602)}

160.8931 = \frac{100}{({(0.85)}^{2}) \cdot (0.8602)}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Automobile » fx Stiffness of Spring provided Wheel rate

Stiffness of Spring provided Wheel rate Solution

Follow our step by step solution on how to calculate Stiffness of Spring provided Wheel rate?

FIRST Step Consider the formula

k = \frac{K t}{({(M.R.)}^{2}) \cdot (cosθ)}

Next Step Substitute values of Variables

∴

k = \frac{100N/m}{({(0.85)}^{2}) \cdot (0.8602)}

Next Step Prepare to Evaluate

∴

k = \frac{100}{({(0.85)}^{2}) \cdot (0.8602)}

Next Step Evaluate

∴

k = 160.893117696332N/m

LAST Step Rounding Answer

∴

k = 160.8931N/m

Stiffness of Spring provided Wheel rate Formula Elements

Variables

Stiffness of Spring

Stiffness of Spring is the measure of a spring's resistance to deformation in a racing car's tire behavior, affecting its overall performance and handling.

Symbol: k

Measurement: Surface TensionUnit: N/m

Note: Value should be greater than 0.

Formulas to find Stiffness of Spring

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

Motion Ratio in Suspension

Motion ratio in suspension is the ratio of the motion of the suspension to the motion of the wheel in a racing car, affecting its overall performance.

Symbol: M.R.

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Motion Ratio in Suspension

Spring Angle Correction Factor

Spring angle correction factor is a measure of the adjustment made to the spring angle to optimize tire behavior and performance in racing cars.

Symbol: cosθ

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Spring Angle Correction Factor

Other Formulas to find Stiffness of Spring

Go Spring rate required for coilover given desired droop and motion ratio

k = W cs \cdot \frac{g}{M.R. \cdot W.T. \cdot \cos (θ s)}

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 Stiffness of Spring provided Wheel rate?

Stiffness of Spring provided Wheel rate evaluator uses Stiffness of Spring = Wheel Rate of Vehicle/(((Motion Ratio in Suspension)^2)*(Spring Angle Correction Factor)) to evaluate the Stiffness of Spring, Stiffness of Spring provided Wheel rate formula is defined as the ratio of the transmissibility of the suspension system to the sprung mass, providing a measure of the stiffness of the suspension system in relation to the wheel rate, which affects the vehicle's ride and handling characteristics. Stiffness of Spring is denoted by k symbol.

How to evaluate Stiffness of Spring provided Wheel rate using this online evaluator? To use this online evaluator for Stiffness of Spring provided Wheel rate, enter Wheel Rate of Vehicle (K_t), Motion Ratio in Suspension (M.R.) & Spring Angle Correction Factor (cosθ) and hit the calculate button.

FAQs on Stiffness of Spring provided Wheel rate

What is the formula to find Stiffness of Spring provided Wheel rate?

The formula of Stiffness of Spring provided Wheel rate is expressed as Stiffness of Spring = Wheel Rate of Vehicle/(((Motion Ratio in Suspension)^2)*(Spring Angle Correction Factor)). Here is an example- 160.8931 = 100/(((0.85)^2)*(0.86025)).

How to calculate Stiffness of Spring provided Wheel rate?

With Wheel Rate of Vehicle (K_t), Motion Ratio in Suspension (M.R.) & Spring Angle Correction Factor (cosθ) we can find Stiffness of Spring provided Wheel rate using the formula - Stiffness of Spring = Wheel Rate of Vehicle/(((Motion Ratio in Suspension)^2)*(Spring Angle Correction Factor)).

What are the other ways to Calculate Stiffness of Spring?

Here are the different ways to Calculate Stiffness of Spring-

Stiffness of Spring=Corner Sprung Mass of Vehicle*Acceleration due to Gravity/(Motion Ratio in Suspension*Wheel Travel*cos(Angle of Spring/Shock Absorber from Vertical))

Can the Stiffness of Spring provided Wheel rate be negative?

No, the Stiffness of Spring provided Wheel rate, measured in Surface Tension cannot be negative.

Which unit is used to measure Stiffness of Spring provided Wheel rate?

Stiffness of Spring provided Wheel rate is usually measured using the Newton per Meter[N/m] for Surface Tension. Millinewton per Meter[N/m], Gram-Force per Centimeter[N/m], Dyne per Centimeter[N/m] are the few other units in which Stiffness of Spring provided Wheel rate can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit