Rear Ride Rate Calculator

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Race Car Vehicle Dynamics

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Ride Rate and Ride Frequency for Race Cars

Rates for Axle Suspension in Race Car

Tire Behavior in Racing Car

Vehicle Cornering in Race Cars

Weight Transfer during Braking

Wheel Centre Rates for Independent Suspension

✖Rear Outside Wheel Change is the difference between the load on the rear outside wheel during cornering and the load during straight path travel.ⓘ Rear Outside Wheel Change [ΔW_RO]			+10% -10%
✖Rear Bump Allowance vertical movement of the spring when the vehicle encounters a full bump.ⓘ Rear Bump Allowance [x₂]			+10% -10%

✖Rear Ride Rate is defined as vertical force per unit vertical displacement of the tire ground contact with respect to chassis.ⓘ Rear Ride Rate [K_RR]

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Formula

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Rear Ride Rate

Formula

`"K"_{"RR"} = ("ΔW"_{"RO"}*"[g]")/"x"_{"2"}`

Example

`"31748.05N/m"=("161.87kg"*"[g]")/"0.05m"`

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Download Ride Rate and Ride Frequency for Race Cars Formulas PDF

Rear Ride Rate Solution

STEP 0: Pre-Calculation Summary

Formula Used

Rear Ride Rate = (Rear Outside Wheel Change*[g])/Rear Bump Allowance
K_RR = (ΔW_RO*[g])/x₂
This formula uses 1 Constants, 3 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Variables Used

Rear Ride Rate - (Measured in Newton per Meter) - Rear Ride Rate is defined as vertical force per unit vertical displacement of the tire ground contact with respect to chassis.
Rear Outside Wheel Change - (Measured in Kilogram) - Rear Outside Wheel Change is the difference between the load on the rear outside wheel during cornering and the load during straight path travel.
Rear Bump Allowance - (Measured in Meter) - Rear Bump Allowance vertical movement of the spring when the vehicle encounters a full bump.

STEP 1: Convert Input(s) to Base Unit

Rear Outside Wheel Change: 161.87 Kilogram --> 161.87 Kilogram No Conversion Required
Rear Bump Allowance: 0.05 Meter --> 0.05 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K_RR = (ΔW_RO*[g])/x₂ --> (161.87*[g])/0.05

Evaluating ... ...

K_RR = 31748.04871

STEP 3: Convert Result to Output's Unit

31748.04871 Newton per Meter --> No Conversion Required

FINAL ANSWER

31748.04871 ≈ 31748.05 Newton per Meter <-- Rear Ride Rate

(Calculation completed in 00.020 seconds)

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

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< 12 Ride Rate and Ride Frequency for Race Cars Calculators

Front Ride Frequency

Go Ride Frequency = 0.5/pi*sqrt(Front Ride Rate/Load on Individual Wheel in Static Condition)

Rear Ride Frequency

Go Ride Frequency = 0.5/pi*sqrt(Rear Ride Rate/Load on Individual Wheel in Static Condition)

Load on Front Wheel given Front Ride Frequency

Go Load on Individual Wheel in Static Condition = Front Ride Rate/((Ride Frequency*2*pi)^2)

Load on Rear Wheel given Rear Ride Frequency

Go Load on Individual Wheel in Static Condition = Rear Ride Rate/((Ride Frequency*2*pi)^2)

Front Ride Rate given Front Ride Frequency

Go Front Ride Rate = (Ride Frequency*2*pi)^2*Load on Individual Wheel in Static Condition

Rear Ride Rate given Rear Ride Frequency

Go Rear Ride Rate = (Ride Frequency*2*pi)^2*Load on Individual Wheel in Static Condition

Front Outside Wheel Load Change given Front Ride Rate

Go Front Outside Wheel Change = (Front Bump Allowance*Front Ride Rate)/[g]

Front Bump Allowance given Front Ride Rate

Go Front Bump Allowance = (Front Outside Wheel Change*[g])/Front Ride Rate

Front Ride Rate

Go Front Ride Rate = (Front Outside Wheel Change*[g])/Front Bump Allowance

Rear Outside Wheel Load Change given Rear Ride Rate

Go Rear Outside Wheel Change = (Rear Bump Allowance*Rear Ride Rate)/[g]

Rear Bump Allowance given Rear Ride Rate

Go Rear Bump Allowance = (Rear Outside Wheel Change*[g])/Rear Ride Rate

Rear Ride Rate

Go Rear Ride Rate = (Rear Outside Wheel Change*[g])/Rear Bump Allowance

Rear Ride Rate Formula

Rear Ride Rate = (Rear Outside Wheel Change*[g])/Rear Bump Allowance
K_RR = (ΔW_RO*[g])/x₂

Ride rates in a vehicle

Ride rate refers to the rate of change of tire normal force with vertical body movement and roll rate refers to the rate of change of tire normal force with body roll about its roll axis. The ride and roll rates of the car affect the wheel loading wrt the body position change and the wheel load or tire normal force determines the available tire lateral/longitudinal forces which directly impacts the vehicle performance. Individual suspension components like springs and antiroll bar affect the vehicle ride and roll. The ride performance of the car is many a times in conflict with the roll performance and hence choosing the correct springs and anti roll bar is often a balancing act.

How to Calculate Rear Ride Rate?

Rear Ride Rate calculator uses Rear Ride Rate = (Rear Outside Wheel Change*[g])/Rear Bump Allowance to calculate the Rear Ride Rate, The Rear ride rate formula is defined to find the vertical force per unit vertical displacement of the tire ground contact with respect to chassis. Rear Ride Rate is denoted by K_RR symbol.

How to calculate Rear Ride Rate using this online calculator? To use this online calculator for Rear Ride Rate, enter Rear Outside Wheel Change (ΔW_RO) & Rear Bump Allowance (x₂) and hit the calculate button. Here is how the Rear Ride Rate calculation can be explained with given input values -> 31748.05 = (161.87*[g])/0.05.

FAQ

What is Rear Ride Rate?

The Rear ride rate formula is defined to find the vertical force per unit vertical displacement of the tire ground contact with respect to chassis and is represented as K_RR = (ΔW_RO*[g])/x₂ or Rear Ride Rate = (Rear Outside Wheel Change*[g])/Rear Bump Allowance. Rear Outside Wheel Change is the difference between the load on the rear outside wheel during cornering and the load during straight path travel & Rear Bump Allowance vertical movement of the spring when the vehicle encounters a full bump.

How to calculate Rear Ride Rate?

The Rear ride rate formula is defined to find the vertical force per unit vertical displacement of the tire ground contact with respect to chassis is calculated using Rear Ride Rate = (Rear Outside Wheel Change*[g])/Rear Bump Allowance. To calculate Rear Ride Rate, you need Rear Outside Wheel Change (ΔW_RO) & Rear Bump Allowance (x₂). With our tool, you need to enter the respective value for Rear Outside Wheel Change & Rear Bump Allowance 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 Rear Ride Rate?

In this formula, Rear Ride Rate uses Rear Outside Wheel Change & Rear Bump Allowance. We can use 1 other way(s) to calculate the same, which is/are as follows -

Rear Ride Rate = (Ride Frequency*2*pi)^2*Load on Individual Wheel in Static Condition

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