Cornering Velocity given Horizontal Lateral Acceleration Calculator

✖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 [R]			+10% -10%

✖Cornering Velocity is the velocity of the vehicle during cornering.ⓘ Cornering Velocity given Horizontal Lateral Acceleration [V]

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Cornering Velocity given Horizontal Lateral Acceleration Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cornering Velocity = sqrt(Horizontal Lateral Acceleration*Corner Radius)
V = sqrt(A_α*R)
This formula uses 1 Functions, 3 Variables

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

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.
Corner Radius - (Measured in Meter) - Corner Radius is the radius of the cornering circle.

STEP 1: Convert Input(s) to Base Unit

Horizontal Lateral Acceleration: 1.6 Meter per Square Second --> 1.6 Meter per Square Second No Conversion Required
Corner Radius: 160 Meter --> 160 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = sqrt(A_α*R) --> sqrt(1.6*160)

Evaluating ... ...

V = 16

STEP 3: Convert Result to Output's Unit

16 Meter per Second --> No Conversion Required

FINAL ANSWER

16 Meter per Second <-- Cornering Velocity

(Calculation completed in 00.004 seconds)

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Created by Peri Krishna Karthik

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

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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)

Cornering Velocity given Horizontal Lateral Acceleration Formula

LaTeX Go

Cornering Velocity = sqrt(Horizontal Lateral Acceleration*Corner Radius)
V = sqrt(A_α*R)

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 Cornering Velocity given Horizontal Lateral Acceleration?

Cornering Velocity given Horizontal Lateral Acceleration calculator uses Cornering Velocity = sqrt(Horizontal Lateral Acceleration*Corner Radius) to calculate the Cornering Velocity, The Cornering velocity given horizontal lateral acceleration formula is used to determine the velocity of the car during the cornering. Cornering Velocity is denoted by V symbol.

How to calculate Cornering Velocity given Horizontal Lateral Acceleration using this online calculator? To use this online calculator for Cornering Velocity given Horizontal Lateral Acceleration, enter Horizontal Lateral Acceleration (A_α) & Corner Radius (R) and hit the calculate button. Here is how the Cornering Velocity given Horizontal Lateral Acceleration calculation can be explained with given input values -> 4 = sqrt(1.6*160).

FAQ

What is Cornering Velocity given Horizontal Lateral Acceleration?

The Cornering velocity given horizontal lateral acceleration formula is used to determine the velocity of the car during the cornering and is represented as V = sqrt(A_α*R) or Cornering Velocity = sqrt(Horizontal Lateral Acceleration*Corner Radius). Horizontal Lateral Acceleration is the lateral acceleration in the horizontal direction due to cornering forces & Corner Radius is the radius of the cornering circle.

How to calculate Cornering Velocity given Horizontal Lateral Acceleration?

The Cornering velocity given horizontal lateral acceleration formula is used to determine the velocity of the car during the cornering is calculated using Cornering Velocity = sqrt(Horizontal Lateral Acceleration*Corner Radius). To calculate Cornering Velocity given Horizontal Lateral Acceleration, you need Horizontal Lateral Acceleration (A_α) & Corner Radius (R). With our tool, you need to enter the respective value for Horizontal Lateral Acceleration & Corner Radius 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 Cornering Velocity?

In this formula, Cornering Velocity uses Horizontal Lateral Acceleration & Corner Radius. We can use 1 other way(s) to calculate the same, which is/are as follows -

Cornering Velocity = sqrt((Effective Weight/Mass of Vehicle-cos(Bank Angle))*(Corner Radius*[g])/sin(Bank Angle))

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