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Weight of Vehicle given Kinetic Energy of Vehicle at Design Speed Formula

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Total Weight of Vehicle is the total weight of a vehicle, including the weight of the vehicle itself and its cargo, at a given sight distance. Check FAQs

W = \frac{2 \cdot [g] \cdot F \cdot l}{{v vehicle}^{2}}

W - Total Weight of Vehicle?F - Maximum Frictional Force?l - Braking Distance?v_vehicle - Velocity?[g] - Gravitational acceleration on Earth?

Weight of Vehicle given Kinetic Energy of Vehicle at Design Speed Example

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Here is how the Weight of Vehicle given Kinetic Energy of Vehicle at Design Speed equation looks like with Values.

Here is how the Weight of Vehicle given Kinetic Energy of Vehicle at Design Speed equation looks like with Units.

Here is how the Weight of Vehicle given Kinetic Energy of Vehicle at Design Speed equation looks like.

230 = \frac{2 \cdot 9.8066 \cdot 194.6963 \cdot 48}{{28.23}^{2}}

230kg = \frac{2 \cdot 9.8066m/s² \cdot 194.6963N \cdot 48m}{{28.23m/s}^{2}}

230 = \frac{2 \cdot 9.8066 \cdot 194.6963 \cdot 48}{{28.23}^{2}}

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Weight of Vehicle given Kinetic Energy of Vehicle at Design Speed Solution

Follow our step by step solution on how to calculate Weight of Vehicle given Kinetic Energy of Vehicle at Design Speed?

FIRST Step Consider the formula

W = \frac{2 \cdot [g] \cdot F \cdot l}{{v vehicle}^{2}}

Next Step Substitute values of Variables

∴

W = \frac{2 \cdot [g] \cdot 194.6963N \cdot 48m}{{28.23m/s}^{2}}

Next Step Substitute values of Constants

∴

W = \frac{2 \cdot 9.8066m/s² \cdot 194.6963N \cdot 48m}{{28.23m/s}^{2}}

Next Step Prepare to Evaluate

∴

W = \frac{2 \cdot 9.8066 \cdot 194.6963 \cdot 48}{{28.23}^{2}}

Next Step Evaluate

∴

W = 230.000007727024kg

LAST Step Rounding Answer

∴

W = 230kg

Weight of Vehicle given Kinetic Energy of Vehicle at Design Speed Formula Elements

Variables

Constants

Total Weight of Vehicle

Total Weight of Vehicle is the total weight of a vehicle, including the weight of the vehicle itself and its cargo, at a given sight distance.

Symbol: W

Measurement: WeightUnit: kg

Note: Value should be greater than 60.

Formulas to find Total Weight of Vehicle

Maximum Frictional Force

Maximum Frictional Force is the maximum force that opposes motion on a surface, dependent on the sight distance available to a driver.

Symbol: F

Measurement: ForceUnit: N

Note: Value should be less than 1000.

Formulas to find Maximum Frictional Force

Braking Distance

Braking Distance is the distance travelled by the vehicle at the point where brake is applied to the point where it stops.

Symbol: l

Measurement: LengthUnit: m

Note: Value should be less than 1000.

Formulas to find Braking Distance

Velocity

Velocity is the speed at which a vehicle is traveling, typically measured at a specific point in time or over a certain distance.

Symbol: v_vehicle

Measurement: SpeedUnit: m/s

Note: Value should be less than 500.

Formulas to find Velocity

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

Other formulas in Stopping Sight Distance category

Go Kinetic Energy of Vehicle at Design Speed

K.E = \frac{W \cdot {v vehicle}^{2}}{2 \cdot [g]}

Go Work Done against Friction in Stopping Vehicle

W vehicle = f \cdot W \cdot l

Go Braking Distance of Vehicle during Braking Operation

l = \frac{{v vehicle}^{2}}{2 \cdot [g] \cdot f}

Go Maximum Frictional Force Developed during Braking Operation of Vehicle

F = \frac{W \cdot {v vehicle}^{2}}{2 \cdot [g] \cdot l}

How to Evaluate Weight of Vehicle given Kinetic Energy of Vehicle at Design Speed?

Weight of Vehicle given Kinetic Energy of Vehicle at Design Speed evaluator uses Total Weight of Vehicle = (2*[g]*Maximum Frictional Force*Braking Distance)/Velocity^2 to evaluate the Total Weight of Vehicle, Weight of Vehicle given Kinetic Energy of Vehicle at Design Speed formula is defined as the measure of the weight of a vehicle at its design speed, which is a critical factor in determining the sight distance required for a safe stop, and is influenced by the kinetic energy of the vehicle at that speed. Total Weight of Vehicle is denoted by W symbol.

How to evaluate Weight of Vehicle given Kinetic Energy of Vehicle at Design Speed using this online evaluator? To use this online evaluator for Weight of Vehicle given Kinetic Energy of Vehicle at Design Speed, enter Maximum Frictional Force (F), Braking Distance (l) & Velocity (v_vehicle) and hit the calculate button.

FAQs on Weight of Vehicle given Kinetic Energy of Vehicle at Design Speed

What is the formula to find Weight of Vehicle given Kinetic Energy of Vehicle at Design Speed?

The formula of Weight of Vehicle given Kinetic Energy of Vehicle at Design Speed is expressed as Total Weight of Vehicle = (2*[g]*Maximum Frictional Force*Braking Distance)/Velocity^2. Here is an example- 973.4809 = (2*[g]*194.6963*48)/28.23^2.

How to calculate Weight of Vehicle given Kinetic Energy of Vehicle at Design Speed?

With Maximum Frictional Force (F), Braking Distance (l) & Velocity (v_vehicle) we can find Weight of Vehicle given Kinetic Energy of Vehicle at Design Speed using the formula - Total Weight of Vehicle = (2*[g]*Maximum Frictional Force*Braking Distance)/Velocity^2. This formula also uses Gravitational acceleration on Earth constant(s).

Can the Weight of Vehicle given Kinetic Energy of Vehicle at Design Speed be negative?

No, the Weight of Vehicle given Kinetic Energy of Vehicle at Design Speed, measured in Weight cannot be negative.

Which unit is used to measure Weight of Vehicle given Kinetic Energy of Vehicle at Design Speed?

Weight of Vehicle given Kinetic Energy of Vehicle at Design Speed is usually measured using the Kilogram[kg] for Weight. Gram[kg], Milligram[kg], Ton (Metric)[kg] are the few other units in which Weight of Vehicle given Kinetic Energy of Vehicle at Design Speed can be measured.

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