Wheel rate Calculator

✖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.ⓘ Spring Rate [K]			+10% -10%
✖Installation ratio is the proportion of tire installation that affects the racing car's performance, handling, and overall tire behavior during a race.ⓘ Installation Ratio [IR]			+10% -10%
✖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.ⓘ Damper Angle from Vertical [Φ]			+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 [K_t]

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Formula

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Wheel rate

Formula

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

Example

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

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Wheel rate Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wheel Rate of Vehicle = Spring Rate*(Installation Ratio^2)*cos(Damper Angle from Vertical)
K_t = K*(IR^2)*cos(Φ)
This formula uses 1 Functions, 4 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

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.
Spring Rate - (Measured in Newton per Meter) - 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.
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.
Damper Angle from Vertical - (Measured in Radian) - 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.

STEP 1: Convert Input(s) to Base Unit

Spring Rate: 60311.79 Newton per Meter --> 60311.79 Newton per Meter No Conversion Required
Installation Ratio: 0.5 --> No Conversion Required
Damper Angle from Vertical: 89.62 Degree --> 1.56416407563702 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K_t = K*(IR^2)*cos(Φ) --> 60311.79*(0.5^2)*cos(1.56416407563702)

Evaluating ... ...

K_t = 100.000001648912

STEP 3: Convert Result to Output's Unit

100.000001648912 Newton per Meter --> No Conversion Required

FINAL ANSWER

100.000001648912 ≈ 100 Newton per Meter <-- Wheel Rate of Vehicle

(Calculation completed in 00.020 seconds)

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Home » Physics » Automobile » Race Car Vehicle Dynamics » Tire Behavior in Racing Car » Mechanical » Wheel Parameters » Wheel rate

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Created by Peri Krishna Karthik

National Institute of Technology Calicut (NIT Calicut), Calicut, Kerala

Peri Krishna Karthik has created this Calculator and 200+ more calculators!

Verified by sanjay shiva

national institute of technology hamirpur (NITH ), hamirpur , himachal pradesh

sanjay shiva has verified this Calculator and 100+ more calculators!

< Wheel Parameters Calculators

Contact Point of Wheel and Curb Distance from Wheel Center Axis

Go Contact Point Distance from Wheel Center Axis = sqrt(2*Effective Radius of Wheel*(Height of Curb-Height of Curb^2))

Angle between Traction Force and Horizontal Axis

Go Angle between Traction Force and Horizontal Axis = asin(1-Curb Height/Effective Radius of Wheel)

Tire Side Wall Height

Go Tire Side Wall Height = (Aspect Ratio of Tire*Tire Width)/100

Aspect Ratio of Tire

Go Aspect Ratio of Tire = Tire Side Wall Height/Tire Width*100

Wheel rate Formula

Wheel Rate of Vehicle = Spring Rate*(Installation Ratio^2)*cos(Damper Angle from Vertical)
K_t = K*(IR^2)*cos(Φ)

More about Wheel rate

Wheel rate is a measure of the effective stiffness of the suspension system measured at the wheel center. The wheel rate is the slope of a graph plotting wheel force vs wheel travel. It is expressed in Newtons per meter or N/m.

The primary contributor to the wheel rate is the suspension spring. If the suspension system has rubber bushes at the joints, the torsional stiffness of the bushes also contributes to the wheel rate of the suspension. Wheel rate in roll also includes the contribution of the anti-roll bar. The wheel rate of a suspension system can be used to calculate the ride frequency of a vehicle if the sprung mass is known.

How to Calculate Wheel rate?

Wheel rate calculator uses Wheel Rate of Vehicle = Spring Rate*(Installation Ratio^2)*cos(Damper Angle from Vertical) to calculate 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 calculate Wheel rate using this online calculator? To use this online calculator for Wheel rate, enter Spring Rate (K), Installation Ratio (IR) & Damper Angle from Vertical (Φ) and hit the calculate button. Here is how the Wheel rate calculation can be explained with given input values -> 101.9436 = 60311.79*(0.5^2)*cos(1.56416407563702).

FAQ

What is Wheel rate?

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 and is represented as K_t = K*(IR^2)*cos(Φ) or Wheel Rate of Vehicle = Spring Rate*(Installation Ratio^2)*cos(Damper Angle from Vertical). 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, Installation ratio is the proportion of tire installation that affects the racing car's performance, handling, and overall tire behavior during a race & 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.

How to calculate Wheel rate?

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 is calculated using Wheel Rate of Vehicle = Spring Rate*(Installation Ratio^2)*cos(Damper Angle from Vertical). To calculate Wheel rate, you need Spring Rate (K), Installation Ratio (IR) & Damper Angle from Vertical (Φ). With our tool, you need to enter the respective value for Spring Rate, Installation Ratio & Damper Angle from Vertical 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 Spring Rate, Installation Ratio & Damper Angle from Vertical. 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 = (Tire Rate*Ride Rate of Car)/(Tire Rate-Ride Rate of Car)

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