Corner Radius given Horizontal Lateral Acceleration Solution

STEP 0: Pre-Calculation Summary
Formula Used
Corner Radius = (Cornering Velocity^2)/(Horizontal Lateral Acceleration)
R = (V^2)/(Aα)
This formula uses 3 Variables
Variables Used
Corner Radius - (Measured in Meter) - Corner Radius is the radius of the cornering circle.
Cornering Velocity - (Measured in Meter per Second) - Cornering Velocity is the velocity of the vehicle during cornering.
Horizontal Lateral Acceleration - (Measured in Meter per Square Second) - Horizontal Lateral Acceleration is the lateral acceleration in the horizontal direction due to cornering forces.
STEP 1: Convert Input(s) to Base Unit
Cornering Velocity: 16 Meter per Second --> 16 Meter per Second No Conversion Required
Horizontal Lateral Acceleration: 1.6 Meter per Square Second --> 1.6 Meter per Square Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
R = (V^2)/(Aα) --> (16^2)/(1.6)
Evaluating ... ...
R = 160
STEP 3: Convert Result to Output's Unit
160 Meter --> No Conversion Required
FINAL ANSWER
160 Meter <-- Corner Radius
(Calculation completed in 00.020 seconds)

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12 Vehicle Cornering in Race Cars Calculators

Cornering Velocity given Effective Weight of Car due to Banking
Go Cornering Velocity = sqrt((Effective Weight/Mass of Vehicle-cos(Bank Angle))*(Corner Radius*[g])/sin(Bank Angle))
Total Static Mass of Car given Effective Weight during Banking
Go Mass of Vehicle = Effective Weight/((Cornering Velocity^2)/(Corner Radius*[g])*(sin(Bank Angle)+cos(Bank Angle)))
Corner Radius given Effective Weight of Car due to Banking
Go Corner Radius = (sin(Bank Angle)*Cornering Velocity^2)/((Effective Weight/Mass of Vehicle-cos(Bank Angle))*[g])
Effective Weight of Car due to Banking
Go Effective Weight = (Mass of Vehicle*Cornering Velocity^2)/(Corner Radius*[g])*(sin(Bank Angle)+cos(Bank Angle))
Centre of Gravity Distance to Roll Axis given Roll Gradient
Go Centre of Gravity Distance to Roll Axis = -(Roll Gradient/(Mass of Vehicle*[g]/(Front Roll Rate+Rear Roll Rate)))
Total Vehicle Mass given Roll Gradient
Go Mass of Vehicle = -(Roll Gradient/([g]*Centre of Gravity Distance to Roll Axis/(Front Roll Rate+Rear Roll Rate)))
Roll Gradient
Go Roll Gradient = -Mass of Vehicle*[g]*Centre of Gravity Distance to Roll Axis/(Front Roll Rate+Rear Roll Rate)
Front Roll Rate given Roll Gradient
Go Front Roll Rate = -Mass of Vehicle*[g]*Centre of Gravity Distance to Roll Axis/Roll Gradient-Rear Roll Rate
Rear Roll Rate given Roll Gradient
Go Rear Roll Rate = -Mass of Vehicle*[g]*Centre of Gravity Distance to Roll Axis/Roll Gradient-Front Roll Rate
Cornering Velocity given Horizontal Lateral Acceleration
Go Cornering Velocity = sqrt(Horizontal Lateral Acceleration*Corner Radius)
Corner Radius given Horizontal Lateral Acceleration
Go Corner Radius = (Cornering Velocity^2)/(Horizontal Lateral Acceleration)
Horizontal Lateral Acceleration
Go Horizontal Lateral Acceleration = (Cornering Velocity^2)/(Corner Radius)

Corner Radius given Horizontal Lateral Acceleration Formula

Corner Radius = (Cornering Velocity^2)/(Horizontal Lateral Acceleration)
R = (V^2)/(Aα)

What affects cornering force?

Speed, weight, road conditions, tyre characteristics effect the cornering force. The higher the speed, the higher the cornering force. That’s why it’s important to fit tyres with the speed rating recommended by the vehicle's manufacturer. The higher the weight, the higher the cornering force. So, we shouldn’t overload the vehicle and should have tyres with the proper load range or load index. Cornering force is affected by bad weather. Snow and ice, in particular, can cause tyres to slide when turning – especially when driven at speed. All-weather and winter tyres are designed to reduce this risk. Tyre width, size and pressure are clearly related to the contact area between tyre tread and the road. The bigger the contact area, the more cornering force the tyres can provide.

How to Calculate Corner Radius given Horizontal Lateral Acceleration?

Corner Radius given Horizontal Lateral Acceleration calculator uses Corner Radius = (Cornering Velocity^2)/(Horizontal Lateral Acceleration) to calculate the Corner Radius, The Corner radius given horizontal lateral acceleration formula is used to determine the radius of the circle in which the car is cornering. Corner Radius is denoted by R symbol.

How to calculate Corner Radius given Horizontal Lateral Acceleration using this online calculator? To use this online calculator for Corner Radius given Horizontal Lateral Acceleration, enter Cornering Velocity (V) & Horizontal Lateral Acceleration (Aα) and hit the calculate button. Here is how the Corner Radius given Horizontal Lateral Acceleration calculation can be explained with given input values -> 2250 = (16^2)/(1.6).

FAQ

What is Corner Radius given Horizontal Lateral Acceleration?
The Corner radius given horizontal lateral acceleration formula is used to determine the radius of the circle in which the car is cornering and is represented as R = (V^2)/(Aα) or Corner Radius = (Cornering Velocity^2)/(Horizontal Lateral Acceleration). Cornering Velocity is the velocity of the vehicle during cornering & Horizontal Lateral Acceleration is the lateral acceleration in the horizontal direction due to cornering forces.
How to calculate Corner Radius given Horizontal Lateral Acceleration?
The Corner radius given horizontal lateral acceleration formula is used to determine the radius of the circle in which the car is cornering is calculated using Corner Radius = (Cornering Velocity^2)/(Horizontal Lateral Acceleration). To calculate Corner Radius given Horizontal Lateral Acceleration, you need Cornering Velocity (V) & Horizontal Lateral Acceleration (Aα). With our tool, you need to enter the respective value for Cornering Velocity & Horizontal Lateral Acceleration 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 Corner Radius?
In this formula, Corner Radius uses Cornering Velocity & Horizontal Lateral Acceleration. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Corner Radius = (sin(Bank Angle)*Cornering Velocity^2)/((Effective Weight/Mass of Vehicle-cos(Bank Angle))*[g])
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