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Effective Weight of Car due to Banking Formula

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

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

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

Effective Weight of Car due to Banking Example

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

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

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

26.5213 = \frac{155 \cdot 16^{2}}{160 \cdot 9.8066} \cdot (\sin (0.05) + \cos (0.05))

26.5213kg = \frac{155kg \cdot {16m/s}^{2}}{160m \cdot 9.8066m/s²} \cdot (\sin (0.05rad) + \cos (0.05rad))

26.5213 = \frac{155 \cdot 16^{2}}{160 \cdot 9.8066} \cdot (\sin (0.05) + \cos (0.05))

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Effective Weight of Car due to Banking Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

W e = \frac{155kg \cdot {16m/s}^{2}}{160m \cdot [g]} \cdot (\sin (0.05rad) + \cos (0.05rad))

Next Step Substitute values of Constants

∴

W e = \frac{155kg \cdot {16m/s}^{2}}{160m \cdot 9.8066m/s²} \cdot (\sin (0.05rad) + \cos (0.05rad))

Next Step Prepare to Evaluate

∴

W e = \frac{155 \cdot 16^{2}}{160 \cdot 9.8066} \cdot (\sin (0.05) + \cos (0.05))

Next Step Evaluate

∴

W e = 26.5212787809374kg

LAST Step Rounding Answer

∴

W e = 26.5213kg

Effective Weight of Car due to Banking Formula Elements

Variables

Constants

Functions

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

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

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

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)

Other formulas in Forces on Car category

Go Horizontal Lateral Acceleration

A α = \frac{V^{2}}{R}

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 Effective Weight of Car due to Banking?

Effective Weight of Car due to Banking evaluator uses Effective Weight = (Mass of Vehicle*Cornering Velocity^2)/(Corner Radius*[g])*(sin(Bank Angle)+cos(Bank Angle)) to evaluate the Effective Weight, The Effective Weight of Car due to Banking formula is defined as the weight of the car experienced during the cornering of the vehicle on a banked road. Effective Weight is denoted by W_e symbol.

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

FAQs on Effective Weight of Car due to Banking

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

The formula of Effective Weight of Car due to Banking is expressed as Effective Weight = (Mass of Vehicle*Cornering Velocity^2)/(Corner Radius*[g])*(sin(Bank Angle)+cos(Bank Angle)). Here is an example- 424.3405 = (155*16^2)/(160*[g])*(sin(0.05)+cos(0.05)).

How to calculate Effective Weight of Car due to Banking?

With Mass of Vehicle (m), Cornering Velocity (V), Corner Radius (R) & Bank Angle (Φ) we can find Effective Weight of Car due to Banking using the formula - Effective Weight = (Mass of Vehicle*Cornering Velocity^2)/(Corner Radius*[g])*(sin(Bank Angle)+cos(Bank Angle)). This formula also uses Gravitational acceleration on Earth constant(s) and , Sine (sin), Cosine (cos) function(s).

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

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

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

Effective Weight of Car due to Banking is usually measured using the Kilogram[kg] for Weight. Gram[kg], Milligram[kg], Ton (Metric)[kg] are the few other units in which Effective Weight of Car due to Banking can be measured.

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Effective Weight of Car due to Banking Formula

Effective Weight of Car due to Banking Example

Effective Weight of Car due to Banking Solution

Effective Weight of Car due to Banking Formula Elements

Other formulas in Forces on Car category

How to Evaluate Effective Weight of Car due to Banking?

FAQs on Effective Weight of Car due to Banking

Variable Name