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Rear Ride Frequency Calculator

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✖Rear Ride Rate is defined as vertical force per unit vertical displacement of the tire ground contact with respect to chassis.ⓘ Rear Ride Rate [KRR]
+10%
-10%
✖Load on Individual Wheel in Static Condition is the portion of the total mass of the vehicle which is bore by the given individual wheel.ⓘ Load on Individual Wheel in Static Condition [W]
+10%
-10%
✖Ride Frequency is the undamped natural frequency of the body in ride. The higher the frequency, the stiffer the ride.ⓘ Rear Ride Frequency [ωF]
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Formula
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Rear Ride Frequency

Formula
`"ω"_{"F"} = 0.5/pi*sqrt("K"_{"RR"}/"W")`

Example
`"1.322207Hz"=0.5/pi*sqrt("31748N/m"/"460kg")`

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Rear Ride Frequency Solution

STEP 0: Pre-Calculation Summary
Formula Used
Ride Frequency = 0.5/pi*sqrt(Rear Ride Rate/Load on Individual Wheel in Static Condition)
ωF = 0.5/pi*sqrt(KRR/W)
This formula uses 1 Constants, 1 Functions, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Ride Frequency - (Measured in Hertz) - Ride Frequency is the undamped natural frequency of the body in ride. The higher the frequency, the stiffer the ride.
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.
Load on Individual Wheel in Static Condition - (Measured in Kilogram) - Load on Individual Wheel in Static Condition is the portion of the total mass of the vehicle which is bore by the given individual wheel.
STEP 1: Convert Input(s) to Base Unit
Rear Ride Rate: 31748 Newton per Meter --> 31748 Newton per Meter No Conversion Required
Load on Individual Wheel in Static Condition: 460 Kilogram --> 460 Kilogram No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ωF = 0.5/pi*sqrt(KRR/W) --> 0.5/pi*sqrt(31748/460)
Evaluating ... ...
ωF = 1.32220684641841
STEP 3: Convert Result to Output's Unit
1.32220684641841 Hertz --> No Conversion Required
FINAL ANSWER
1.32220684641841 ≈ 1.322207 Hertz <-- Ride Frequency
(Calculation completed in 00.004 seconds)
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Home » Physics » Automobile » Race Car Vehicle Dynamics » Ride Rate and Ride Frequency for Race Cars » Rear Ride Frequency

Credits

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 Anshika Arya
National Institute Of Technology (NIT), Hamirpur
Anshika Arya has verified this Calculator and 2500+ more calculators!

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 Frequency Formula

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

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 Frequency?

Rear Ride Frequency calculator uses Ride Frequency = 0.5/pi*sqrt(Rear Ride Rate/Load on Individual Wheel in Static Condition) to calculate the Ride Frequency, The Rear ride frequency formula is used to find the undamped natural frequency of the body in ride. The higher the frequency, the stiffer the ride. Ride Frequency is denoted by ωF symbol.

How to calculate Rear Ride Frequency using this online calculator? To use this online calculator for Rear Ride Frequency, enter Rear Ride Rate (KRR) & Load on Individual Wheel in Static Condition (W) and hit the calculate button. Here is how the Rear Ride Frequency calculation can be explained with given input values -> 1.322207 = 0.5/pi*sqrt(31748/460).

FAQ

What is Rear Ride Frequency?
The Rear ride frequency formula is used to find the undamped natural frequency of the body in ride. The higher the frequency, the stiffer the ride and is represented as ωF = 0.5/pi*sqrt(KRR/W) or Ride Frequency = 0.5/pi*sqrt(Rear Ride Rate/Load on Individual Wheel in Static Condition). Rear Ride Rate is defined as vertical force per unit vertical displacement of the tire ground contact with respect to chassis & Load on Individual Wheel in Static Condition is the portion of the total mass of the vehicle which is bore by the given individual wheel.
How to calculate Rear Ride Frequency?
The Rear ride frequency formula is used to find the undamped natural frequency of the body in ride. The higher the frequency, the stiffer the ride is calculated using Ride Frequency = 0.5/pi*sqrt(Rear Ride Rate/Load on Individual Wheel in Static Condition). To calculate Rear Ride Frequency, you need Rear Ride Rate (KRR) & Load on Individual Wheel in Static Condition (W). With our tool, you need to enter the respective value for Rear Ride Rate & Load on Individual Wheel in Static Condition 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 Ride Frequency?
In this formula, Ride Frequency uses Rear Ride Rate & Load on Individual Wheel in Static Condition. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Ride Frequency = 0.5/pi*sqrt(Front Ride Rate/Load on Individual Wheel in Static Condition)
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