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Horizontal Lateral Acceleration Formula

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Horizontal Lateral Acceleration is the lateral acceleration in the horizontal direction due to cornering forces. Check FAQs

A α = \frac{V^{2}}{R}

A_α - Horizontal Lateral Acceleration?V - Cornering Velocity?R - Corner Radius?

Horizontal Lateral Acceleration Example

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Here is how the Horizontal Lateral Acceleration equation looks like with Values.

Here is how the Horizontal Lateral Acceleration equation looks like with Units.

Here is how the Horizontal Lateral Acceleration equation looks like.

1.6 = \frac{16^{2}}{160}

1.6m/s² = \frac{{16m/s}^{2}}{160m}

1.6 = \frac{16^{2}}{160}

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Horizontal Lateral Acceleration Solution

Follow our step by step solution on how to calculate Horizontal Lateral Acceleration?

FIRST Step Consider the formula

A α = \frac{V^{2}}{R}

Next Step Substitute values of Variables

∴

A α = \frac{{16m/s}^{2}}{160m}

Next Step Prepare to Evaluate

∴

A α = \frac{16^{2}}{160}

LAST Step Evaluate

∴

A α = 1.6m/s²

Horizontal Lateral Acceleration Formula Elements

Variables

Horizontal Lateral Acceleration

Horizontal Lateral Acceleration is the lateral acceleration in the horizontal direction due to cornering forces.

Symbol: A_α

Measurement: AccelerationUnit: m/s²

Note: Value should be greater than 0.

Formulas to find Horizontal Lateral Acceleration

Cornering Velocity

Cornering Velocity is the velocity of the vehicle during cornering.

Symbol: V

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Cornering Velocity

Corner Radius

Corner Radius is the radius of the cornering circle.

Symbol: R

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Corner Radius

Other formulas in Forces on Car category

Go Effective Weight of Car due to Banking

W e = \frac{m \cdot V^{2}}{R \cdot [g]} \cdot (\sin (Φ) + \cos (Φ))

Go Corner Radius given Horizontal Lateral Acceleration

R = \frac{V^{2}}{A α}

Go Cornering Velocity given Horizontal Lateral Acceleration

V = \sqrt{A α \cdot R}

Go Total Static Mass of Car given Effective Weight during Banking

m = \frac{W e}{\frac{V^{2}}{R \cdot [g]} \cdot (\sin (Φ) + \cos (Φ))}

How to Evaluate Horizontal Lateral Acceleration?

Horizontal Lateral Acceleration evaluator uses Horizontal Lateral Acceleration = (Cornering Velocity^2)/(Corner Radius) to evaluate 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 evaluate Horizontal Lateral Acceleration using this online evaluator? To use this online evaluator for Horizontal Lateral Acceleration, enter Cornering Velocity (V) & Corner Radius (R) and hit the calculate button.

FAQs on Horizontal Lateral Acceleration

What is the formula to find Horizontal Lateral Acceleration?

The formula of Horizontal Lateral Acceleration is expressed as Horizontal Lateral Acceleration = (Cornering Velocity^2)/(Corner Radius). Here is an example- 25.6 = (16^2)/(160).

How to calculate Horizontal Lateral Acceleration?

With Cornering Velocity (V) & Corner Radius (R) we can find Horizontal Lateral Acceleration using the formula - Horizontal Lateral Acceleration = (Cornering Velocity^2)/(Corner Radius).

Can the Horizontal Lateral Acceleration be negative?

No, the Horizontal Lateral Acceleration, measured in Acceleration cannot be negative.

Which unit is used to measure Horizontal Lateral Acceleration?

Horizontal Lateral Acceleration is usually measured using the Meter per Square Second[m/s²] for Acceleration. Kilometer per Square Second[m/s²], Micrometer per Square Second[m/s²], Mile per Square Second[m/s²] are the few other units in which Horizontal Lateral Acceleration can be measured.

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Horizontal Lateral Acceleration Formula

Horizontal Lateral Acceleration Example

Horizontal Lateral Acceleration Solution

Horizontal Lateral Acceleration Formula Elements

Other formulas in Forces on Car category

How to Evaluate Horizontal Lateral Acceleration?

FAQs on Horizontal Lateral Acceleration

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