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Total Static Mass of Car given Effective Weight during Banking Formula

GoTotal Vehicle Mass given Roll Gradient Formula

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Mass of Vehicle is the total mass of the vehicle. Check FAQs

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

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

Total Static Mass of Car given Effective Weight during Banking Example

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Here is how the Total Static Mass of Car given Effective Weight during Banking equation looks like with Values.

Here is how the Total Static Mass of Car given Effective Weight during Banking equation looks like with Units.

Here is how the Total Static Mass of Car given Effective Weight during Banking equation looks like.

1168.8727 = \frac{200}{\frac{16^{2}}{160 \cdot 9.8066} \cdot (\sin (0.05) + \cos (0.05))}

1168.8727kg = \frac{200kg}{\frac{{16m/s}^{2}}{160m \cdot 9.8066m/s²} \cdot (\sin (0.05rad) + \cos (0.05rad))}

1168.8727 = \frac{200}{\frac{16^{2}}{160 \cdot 9.8066} \cdot (\sin (0.05) + \cos (0.05))}

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Total Static Mass of Car given Effective Weight during Banking Solution

Follow our step by step solution on how to calculate Total Static Mass of Car given Effective Weight during Banking?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

m = \frac{200kg}{\frac{{16m/s}^{2}}{160m \cdot [g]} \cdot (\sin (0.05rad) + \cos (0.05rad))}

Next Step Substitute values of Constants

∴

m = \frac{200kg}{\frac{{16m/s}^{2}}{160m \cdot 9.8066m/s²} \cdot (\sin (0.05rad) + \cos (0.05rad))}

Next Step Prepare to Evaluate

∴

m = \frac{200}{\frac{16^{2}}{160 \cdot 9.8066} \cdot (\sin (0.05) + \cos (0.05))}

Next Step Evaluate

∴

m = 1168.87274765505kg

LAST Step Rounding Answer

∴

m = 1168.8727kg

Total Static Mass of Car given Effective Weight during Banking Formula Elements

Variables

Constants

Functions

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

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

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 to find Mass of Vehicle

Go Total Vehicle Mass given Roll Gradient

m = - (\frac{∂ Θ}{[g] \cdot \frac{H}{K Φ + K 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 Cornering Velocity given Horizontal Lateral Acceleration

V = \sqrt{A α \cdot R}

How to Evaluate Total Static Mass of Car given Effective Weight during Banking?

Total Static Mass of Car given Effective Weight during Banking evaluator uses Mass of Vehicle = Effective Weight/((Cornering Velocity^2)/(Corner Radius*[g])*(sin(Bank Angle)+cos(Bank Angle))) to evaluate the Mass of Vehicle, The Total static mass of car given effective weight during banking formula is used to find the mass of the car in static position when the weight of the car experienced during the cornering of the vehicle on a banked road is known. Mass of Vehicle is denoted by m symbol.

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

FAQs on Total Static Mass of Car given Effective Weight during Banking

What is the formula to find Total Static Mass of Car given Effective Weight during Banking?

The formula of Total Static Mass of Car given Effective Weight during Banking is expressed as Mass of Vehicle = Effective Weight/((Cornering Velocity^2)/(Corner Radius*[g])*(sin(Bank Angle)+cos(Bank Angle))). Here is an example- 73.05455 = 200/((16^2)/(160*[g])*(sin(0.05)+cos(0.05))).

How to calculate Total Static Mass of Car given Effective Weight during Banking?

With Effective Weight (W_e), Cornering Velocity (V), Corner Radius (R) & Bank Angle (Φ) we can find Total Static Mass of Car given Effective Weight during Banking using the formula - Mass of Vehicle = Effective Weight/((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).

What are the other ways to Calculate Mass of Vehicle?

Here are the different ways to Calculate Mass of Vehicle-

Mass of Vehicle=-(Roll Gradient/([g]*Centre of Gravity Distance to Roll Axis/(Front Roll Rate+Rear Roll Rate)))

Can the Total Static Mass of Car given Effective Weight during Banking be negative?

No, the Total Static Mass of Car given Effective Weight during Banking, measured in Weight cannot be negative.

Which unit is used to measure Total Static Mass of Car given Effective Weight during Banking?

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

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: Unit

Total Static Mass of Car given Effective Weight during Banking Formula

​GoTotal Vehicle Mass given Roll Gradient Formula

Total Static Mass of Car given Effective Weight during Banking Example

Total Static Mass of Car given Effective Weight during Banking Solution

Total Static Mass of Car given Effective Weight during Banking Formula Elements

Other Formulas to find Mass of Vehicle

Other formulas in Forces on Car category

How to Evaluate Total Static Mass of Car given Effective Weight during Banking?

FAQs on Total Static Mass of Car given Effective Weight during Banking

Variable Name

GoTotal Vehicle Mass given Roll Gradient Formula