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Spring rate given wheel rate Formula

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Spring rate is the measure of a spring's stiffness in a racing car's tire behavior, affecting the vehicle's handling and responsiveness during cornering and braking. Check FAQs

K = \frac{K t}{({IR}^{2}) \cdot \cos (Φ)}

K - Spring Rate?K_t - Wheel Rate of Vehicle?IR - Installation Ratio?Φ - Damper Angle from Vertical?

Spring rate given wheel rate Example

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Here is how the Spring rate given wheel rate equation looks like with Values.

Here is how the Spring rate given wheel rate equation looks like with Units.

Here is how the Spring rate given wheel rate equation looks like.

60311.789 = \frac{100}{({0.5}^{2}) \cdot \cos (89.62)}

60311.789N/m = \frac{100N/m}{({0.5}^{2}) \cdot \cos (89.62°)}

60311.789 = \frac{100}{({0.5}^{2}) \cdot \cos (89.62)}

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Spring rate given wheel rate Solution

Follow our step by step solution on how to calculate Spring rate given wheel rate?

FIRST Step Consider the formula

K = \frac{K t}{({IR}^{2}) \cdot \cos (Φ)}

Next Step Substitute values of Variables

∴

K = \frac{100N/m}{({0.5}^{2}) \cdot \cos (89.62°)}

Next Step Convert Units

∴

K = \frac{100N/m}{({0.5}^{2}) \cdot \cos (1.5642rad)}

Next Step Prepare to Evaluate

∴

K = \frac{100}{({0.5}^{2}) \cdot \cos (1.5642)}

Next Step Evaluate

∴

K = 60311.7890055117N/m

LAST Step Rounding Answer

∴

K = 60311.789N/m

Spring rate given wheel rate Formula Elements

Variables

Functions

Spring Rate

Spring rate is the measure of a spring's stiffness in a racing car's tire behavior, affecting the vehicle's handling and responsiveness during cornering and braking.

Symbol: K

Measurement: Surface TensionUnit: N/m

Note: Value should be greater than 0.

Formulas to find Spring Rate

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

Installation Ratio

Installation ratio is the proportion of tire installation that affects the racing car's performance, handling, and overall tire behavior during a race.

Symbol: IR

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Installation Ratio

Damper Angle from Vertical

Damper angle from vertical is the angle at which the damper is positioned in relation to the vertical axis of the racing car's tire.

Symbol: Φ

Measurement: AngleUnit: °

Note: Value should be less than 91.

Formulas to find Damper Angle from Vertical

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

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 Spring rate given wheel rate?

Spring rate given wheel rate evaluator uses Spring Rate = Wheel Rate of Vehicle/((Installation Ratio^2)*cos(Damper Angle from Vertical)) to evaluate the Spring Rate, Spring rate given wheel rate formula is defined as the measure of a spring's stiffness in relation to the wheel rate, providing a way to quantify the suspension's ability to absorb bumps and maintain vehicle stability. Spring Rate is denoted by K symbol.

How to evaluate Spring rate given wheel rate using this online evaluator? To use this online evaluator for Spring rate given wheel rate, enter Wheel Rate of Vehicle (K_t), Installation Ratio (IR) & Damper Angle from Vertical (Φ) and hit the calculate button.

FAQs on Spring rate given wheel rate

What is the formula to find Spring rate given wheel rate?

The formula of Spring rate given wheel rate is expressed as Spring Rate = Wheel Rate of Vehicle/((Installation Ratio^2)*cos(Damper Angle from Vertical)). Here is an example- 60311.79 = 100/((0.5^2)*cos(1.56416407563702)).

How to calculate Spring rate given wheel rate?

With Wheel Rate of Vehicle (K_t), Installation Ratio (IR) & Damper Angle from Vertical (Φ) we can find Spring rate given wheel rate using the formula - Spring Rate = Wheel Rate of Vehicle/((Installation Ratio^2)*cos(Damper Angle from Vertical)). This formula also uses Cosine (cos) function(s).

Can the Spring rate given wheel rate be negative?

No, the Spring rate given wheel rate, measured in Surface Tension cannot be negative.

Which unit is used to measure Spring rate given wheel rate?

Spring rate given 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 Spring rate given wheel rate can be measured.

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Spring rate given wheel rate Formula

Spring rate given wheel rate Example

Spring rate given wheel rate Solution

Spring rate given wheel rate Formula Elements

Other formulas in Wheel Parameters category

How to Evaluate Spring rate given wheel rate?

FAQs on Spring rate given wheel rate

Variable Name