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Cornering Velocity given Effective Weight of Car due to Banking Formula

GoCornering Velocity given Horizontal Lateral Acceleration Formula

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Cornering Velocity is the velocity of the vehicle during cornering. Check FAQs

V = \sqrt{(\frac{W e}{m} - \cos (Φ)) \cdot \frac{R \cdot [g]}{\sin (Φ)}}

V - Cornering Velocity?W_e - Effective Weight?m - Mass of Vehicle?Φ - Bank Angle?R - Corner Radius?[g] - Gravitational acceleration on Earth?

Cornering Velocity given Effective Weight of Car due to Banking Example

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Here is how the Cornering Velocity given Effective Weight of Car due to Banking equation looks like with Values.

Here is how the Cornering Velocity given Effective Weight of Car due to Banking equation looks like with Units.

Here is how the Cornering Velocity given Effective Weight of Car due to Banking equation looks like.

95.6751 = \sqrt{(\frac{200}{155} - \cos (0.05)) \cdot \frac{160 \cdot 9.8066}{\sin (0.05)}}

95.6751m/s = \sqrt{(\frac{200kg}{155kg} - \cos (0.05rad)) \cdot \frac{160m \cdot 9.8066m/s²}{\sin (0.05rad)}}

95.6751 = \sqrt{(\frac{200}{155} - \cos (0.05)) \cdot \frac{160 \cdot 9.8066}{\sin (0.05)}}

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Cornering Velocity given Effective Weight of Car due to Banking Solution

Follow our step by step solution on how to calculate Cornering Velocity given Effective Weight of Car due to Banking?

FIRST Step Consider the formula

V = \sqrt{(\frac{W e}{m} - \cos (Φ)) \cdot \frac{R \cdot [g]}{\sin (Φ)}}

Next Step Substitute values of Variables

∴

V = \sqrt{(\frac{200kg}{155kg} - \cos (0.05rad)) \cdot \frac{160m \cdot [g]}{\sin (0.05rad)}}

Next Step Substitute values of Constants

∴

V = \sqrt{(\frac{200kg}{155kg} - \cos (0.05rad)) \cdot \frac{160m \cdot 9.8066m/s²}{\sin (0.05rad)}}

Next Step Prepare to Evaluate

∴

V = \sqrt{(\frac{200}{155} - \cos (0.05)) \cdot \frac{160 \cdot 9.8066}{\sin (0.05)}}

Next Step Evaluate

∴

V = 95.6751075143127m/s

LAST Step Rounding Answer

∴

V = 95.6751m/s

Cornering Velocity given Effective Weight of Car due to Banking Formula Elements

Variables

Constants

Functions

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

Effective Weight

Effective Weight is defined as the effective weight of the car due to banking.

Symbol: W_e

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Effective Weight

Mass of Vehicle

Mass of Vehicle is the total mass of the vehicle.

Symbol: m

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Mass of Vehicle

Bank Angle

Bank Angle is the angle between the lift vector and the vertical during a level turn of the aircraft.

Symbol: Φ

Measurement: AngleUnit: rad

Note: Value can be positive or negative.

Formulas to find Bank Angle

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

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

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.

Syntax: sqrt(Number)

Other Formulas to find Cornering Velocity

Go Cornering Velocity given Horizontal Lateral Acceleration

V = \sqrt{A α \cdot R}

Other formulas in Forces on Car category

Go Horizontal Lateral Acceleration

A α = \frac{V^{2}}{R}

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 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 Cornering Velocity given Effective Weight of Car due to Banking?

Cornering Velocity given Effective Weight of Car due to Banking evaluator uses Cornering Velocity = sqrt((Effective Weight/Mass of Vehicle-cos(Bank Angle))*(Corner Radius*[g])/sin(Bank Angle)) to evaluate the Cornering Velocity, The Cornering Velocity given Effective Weight of Car due to Banking formula is used to find the the velocity of the car during the cornering from the weight of the vehicle experienced during cornering. Cornering Velocity is denoted by V symbol.

How to evaluate Cornering Velocity given Effective Weight of Car due to Banking using this online evaluator? To use this online evaluator for Cornering Velocity given Effective Weight of Car due to Banking, enter Effective Weight (W_e), Mass of Vehicle (m), Bank Angle (Φ) & Corner Radius (R) and hit the calculate button.

FAQs on Cornering Velocity given Effective Weight of Car due to Banking

What is the formula to find Cornering Velocity given Effective Weight of Car due to Banking?

The formula of Cornering Velocity given Effective Weight of Car due to Banking is expressed as Cornering Velocity = sqrt((Effective Weight/Mass of Vehicle-cos(Bank Angle))*(Corner Radius*[g])/sin(Bank Angle)). Here is an example- 23.91878 = sqrt((200/155-cos(0.05))*(160*[g])/sin(0.05)).

How to calculate Cornering Velocity given Effective Weight of Car due to Banking?

With Effective Weight (W_e), Mass of Vehicle (m), Bank Angle (Φ) & Corner Radius (R) we can find Cornering Velocity given Effective Weight of Car due to Banking using the formula - Cornering Velocity = sqrt((Effective Weight/Mass of Vehicle-cos(Bank Angle))*(Corner Radius*[g])/sin(Bank Angle)). This formula also uses Gravitational acceleration on Earth constant(s) and , Sine (sin), Cosine (cos), Square Root (sqrt) function(s).

What are the other ways to Calculate Cornering Velocity?

Here are the different ways to Calculate Cornering Velocity-

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

Can the Cornering Velocity given Effective Weight of Car due to Banking be negative?

No, the Cornering Velocity given Effective Weight of Car due to Banking, measured in Speed cannot be negative.

Which unit is used to measure Cornering Velocity given Effective Weight of Car due to Banking?

Cornering Velocity given Effective Weight of Car due to Banking is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Cornering Velocity given Effective Weight of Car due to Banking can be measured.

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Cornering Velocity given Effective Weight of Car due to Banking Formula

​GoCornering Velocity given Horizontal Lateral Acceleration Formula

Cornering Velocity given Effective Weight of Car due to Banking Example

Cornering Velocity given Effective Weight of Car due to Banking Solution

Cornering Velocity given Effective Weight of Car due to Banking Formula Elements

Other Formulas to find Cornering Velocity

Other formulas in Forces on Car category

How to Evaluate Cornering Velocity given Effective Weight of Car due to Banking?

FAQs on Cornering Velocity given Effective Weight of Car due to Banking

Variable Name

GoCornering Velocity given Horizontal Lateral Acceleration Formula