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Wheel rate Formula

GoWheel rate in vehicle Formula

GoWheel Rate given Tire Rate and Ride Rate Formula

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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. Check FAQs

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

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

Wheel rate Example

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Here is how the Wheel rate equation looks like with Values.

Here is how the Wheel rate equation looks like with Units.

Here is how the Wheel rate equation looks like.

100 = 60311.79 \cdot ({0.5}^{2}) \cdot \cos (89.62)

100N/m = 60311.79N/m \cdot ({0.5}^{2}) \cdot \cos (89.62°)

100 = 60311.79 \cdot ({0.5}^{2}) \cdot \cos (89.62)

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Wheel rate Solution

Follow our step by step solution on how to calculate Wheel rate?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

K t = 60311.79N/m \cdot ({0.5}^{2}) \cdot \cos (89.62°)

Next Step Convert Units

∴

K t = 60311.79N/m \cdot ({0.5}^{2}) \cdot \cos (1.5642rad)

Next Step Prepare to Evaluate

∴

K t = 60311.79 \cdot ({0.5}^{2}) \cdot \cos (1.5642)

Next Step Evaluate

∴

K t = 100.000001648912N/m

LAST Step Rounding Answer

∴

K t = 100N/m

Wheel rate Formula Elements

Variables

Functions

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

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

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 to find Wheel Rate of Vehicle

Go Wheel rate in vehicle

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

Go Wheel Rate given Tire Rate and Ride Rate

K t = \frac{K tr \cdot K RR}{K tr - K RR}

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 Wheel rate?

Wheel rate evaluator uses Wheel Rate of Vehicle = Spring Rate*(Installation Ratio^2)*cos(Damper Angle from Vertical) to evaluate the Wheel Rate of Vehicle, Wheel rate formula is defined as a measure of the angular velocity of a wheel, which is a critical parameter in the design and analysis of rotating systems, such as gears, bearings, and mechanical transmissions, where it plays a vital role in determining the overall performance and efficiency of the system. Wheel Rate of Vehicle is denoted by K_t symbol.

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

FAQs on Wheel rate

What is the formula to find Wheel rate?

The formula of Wheel rate is expressed as Wheel Rate of Vehicle = Spring Rate*(Installation Ratio^2)*cos(Damper Angle from Vertical). Here is an example- 101.9436 = 60311.79*(0.5^2)*cos(1.56416407563702).

How to calculate Wheel rate?

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

What are the other ways to Calculate Wheel Rate of Vehicle?

Here are the different ways to Calculate Wheel Rate of Vehicle-

Wheel Rate of Vehicle=Stiffness of Spring*((Motion Ratio in Suspension)^2)*(Spring Angle Correction Factor)
Wheel Rate of Vehicle=(Tire Rate*Ride Rate of Car)/(Tire Rate-Ride Rate of Car)

Can the Wheel rate be negative?

No, the Wheel rate, measured in Surface Tension cannot be negative.

Which unit is used to measure Wheel rate?

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 Wheel rate can be measured.

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: Unit

Wheel rate Formula

​GoWheel rate in vehicle Formula

​GoWheel Rate given Tire Rate and Ride Rate Formula

Wheel rate Example

Wheel rate Solution

Wheel rate Formula Elements

Other Formulas to find Wheel Rate of Vehicle

Other formulas in Wheel Parameters category

How to Evaluate Wheel rate?

FAQs on Wheel rate

Variable Name

GoWheel rate in vehicle Formula

GoWheel Rate given Tire Rate and Ride Rate Formula