Corner Radius given Horizontal Lateral Acceleration Calculator

✖Cornering Velocity is the velocity of the vehicle during cornering.ⓘ Cornering Velocity [V]			+10% -10%
✖Horizontal Lateral Acceleration is the lateral acceleration in the horizontal direction due to cornering forces.ⓘ Horizontal Lateral Acceleration [A_α]			+10% -10%

✖Corner Radius is the radius of the cornering circle.ⓘ Corner Radius given Horizontal Lateral Acceleration [R]

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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)/(A_α)
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)/(A_α) --> (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 00.016 seconds)

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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!

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National Institute Of Technology (NIT), Hamirpur

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< Forces on Car Calculators

Effective Weight of Car due to Banking

LaTeX Go Effective Weight = (Mass of Vehicle*Cornering Velocity^2)/(Corner Radius*[g])*(sin(Bank Angle)+cos(Bank Angle))

Cornering Velocity given Horizontal Lateral Acceleration

LaTeX Go Cornering Velocity = sqrt(Horizontal Lateral Acceleration*Corner Radius)

Corner Radius given Horizontal Lateral Acceleration

LaTeX Go Corner Radius = (Cornering Velocity^2)/(Horizontal Lateral Acceleration)

Horizontal Lateral Acceleration

LaTeX Go Horizontal Lateral Acceleration = (Cornering Velocity^2)/(Corner Radius)

Corner Radius given Horizontal Lateral Acceleration Formula

LaTeX Go

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

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 (A_α) and hit the calculate button. Here is how the Corner Radius given Horizontal Lateral Acceleration calculation can be explained with given input values -> 160 = (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)/(A_α) 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 (A_α). 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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