Horizontal Lateral Acceleration Calculator

✖Cornering Velocity is the velocity of the vehicle during cornering.ⓘ Cornering Velocity [V]			+10% -10%
✖Corner Radius is the radius of the cornering circle.ⓘ Corner Radius [R]			+10% -10%

✖Horizontal Lateral Acceleration is the lateral acceleration in the horizontal direction due to cornering forces.ⓘ Horizontal Lateral Acceleration [A_α]

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Horizontal Lateral Acceleration Solution

STEP 0: Pre-Calculation Summary

Formula Used

Horizontal Lateral Acceleration = (Cornering Velocity^2)/(Corner Radius)
A_α = (V^2)/(R)
This formula uses 3 Variables

Variables Used

Horizontal Lateral Acceleration - (Measured in Meter per Square Second) - Horizontal Lateral Acceleration is the lateral acceleration in the horizontal direction due to cornering forces.
Cornering Velocity - (Measured in Meter per Second) - Cornering Velocity is the velocity of the vehicle during cornering.
Corner Radius - (Measured in Meter) - Corner Radius is the radius of the cornering circle.

STEP 1: Convert Input(s) to Base Unit

Cornering Velocity: 16 Meter per Second --> 16 Meter per Second No Conversion Required
Corner Radius: 160 Meter --> 160 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_α = (V^2)/(R) --> (16^2)/(160)

Evaluating ... ...

A_α = 1.6

STEP 3: Convert Result to Output's Unit

1.6 Meter per Square Second --> No Conversion Required

FINAL ANSWER

1.6 Meter per Square Second <-- Horizontal Lateral Acceleration

(Calculation completed in 00.020 seconds)

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Home » Physics » Automobile » Race Car Vehicle Dynamics » Vehicle Cornering in Race Cars » Mechanical » Forces on Car » Horizontal Lateral Acceleration

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

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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)

Horizontal Lateral Acceleration Formula

LaTeX Go

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

Horizontal Lateral Acceleration calculator uses Horizontal Lateral Acceleration = (Cornering Velocity^2)/(Corner Radius) to calculate the Horizontal Lateral Acceleration, The Horizontal Lateral Acceleration formula is defined as the acceleration due to the centrifugal and centripetal forces that act on the vehicle during cornering. Horizontal Lateral Acceleration is denoted by A_α symbol.

How to calculate Horizontal Lateral Acceleration using this online calculator? To use this online calculator for Horizontal Lateral Acceleration, enter Cornering Velocity (V) & Corner Radius (R) and hit the calculate button. Here is how the Horizontal Lateral Acceleration calculation can be explained with given input values -> 25.6 = (16^2)/(160).

FAQ

What is Horizontal Lateral Acceleration?

The Horizontal Lateral Acceleration formula is defined as the acceleration due to the centrifugal and centripetal forces that act on the vehicle during cornering and is represented as A_α = (V^2)/(R) or Horizontal Lateral Acceleration = (Cornering Velocity^2)/(Corner Radius). Cornering Velocity is the velocity of the vehicle during cornering & Corner Radius is the radius of the cornering circle.

How to calculate Horizontal Lateral Acceleration?

The Horizontal Lateral Acceleration formula is defined as the acceleration due to the centrifugal and centripetal forces that act on the vehicle during cornering is calculated using Horizontal Lateral Acceleration = (Cornering Velocity^2)/(Corner Radius). To calculate Horizontal Lateral Acceleration, you need Cornering Velocity (V) & Corner Radius (R). With our tool, you need to enter the respective value for Cornering Velocity & Corner Radius and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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