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Maximum Frictional Force Developed during Braking Operation of Vehicle Formula

GoMaximum Frictional Force given Kinetic Energy of Vehicle at Design Speed Formula

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

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

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

Maximum Frictional Force Developed during Braking Operation of Vehicle Example

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Here is how the Maximum Frictional Force Developed during Braking Operation of Vehicle equation looks like with Values.

Here is how the Maximum Frictional Force Developed during Braking Operation of Vehicle equation looks like with Units.

Here is how the Maximum Frictional Force Developed during Braking Operation of Vehicle equation looks like.

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

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

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

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Maximum Frictional Force Developed during Braking Operation of Vehicle Solution

Follow our step by step solution on how to calculate Maximum Frictional Force Developed during Braking Operation of Vehicle?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

F = \frac{230kg \cdot {28.23m/s}^{2}}{2 \cdot [g] \cdot 48m}

Next Step Substitute values of Constants

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

F = 194.69629345903N

LAST Step Rounding Answer

∴

F = 194.6963N

Maximum Frictional Force Developed during Braking Operation of Vehicle Formula Elements

Variables

Constants

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

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

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

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

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 to find Maximum Frictional Force

Go Maximum Frictional Force given Kinetic Energy of Vehicle at Design Speed

F = \frac{K.E}{l}

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 Weight of Vehicle given Kinetic Energy of Vehicle at Design Speed

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

How to Evaluate Maximum Frictional Force Developed during Braking Operation of Vehicle?

Maximum Frictional Force Developed during Braking Operation of Vehicle evaluator uses Maximum Frictional Force = (Total Weight of Vehicle*Velocity^2)/(2*[g]*Braking Distance) to evaluate the Maximum Frictional Force, Maximum Frictional Force Developed during Braking Operation of Vehicle formula is defined as the maximum force exerted by the vehicle's brakes to bring it to a stop, dependent on the vehicle's weight, velocity, gravity, and stopping distance, providing a critical safety parameter in vehicle design and operation. Maximum Frictional Force is denoted by F symbol.

How to evaluate Maximum Frictional Force Developed during Braking Operation of Vehicle using this online evaluator? To use this online evaluator for Maximum Frictional Force Developed during Braking Operation of Vehicle, enter Total Weight of Vehicle (W), Velocity (v_vehicle) & Braking Distance (l) and hit the calculate button.

FAQs on Maximum Frictional Force Developed during Braking Operation of Vehicle

What is the formula to find Maximum Frictional Force Developed during Braking Operation of Vehicle?

The formula of Maximum Frictional Force Developed during Braking Operation of Vehicle is expressed as Maximum Frictional Force = (Total Weight of Vehicle*Velocity^2)/(2*[g]*Braking Distance). Here is an example- 46.00003 = (230*28.23^2)/(2*[g]*48).

How to calculate Maximum Frictional Force Developed during Braking Operation of Vehicle?

With Total Weight of Vehicle (W), Velocity (v_vehicle) & Braking Distance (l) we can find Maximum Frictional Force Developed during Braking Operation of Vehicle using the formula - Maximum Frictional Force = (Total Weight of Vehicle*Velocity^2)/(2*[g]*Braking Distance). This formula also uses Gravitational acceleration on Earth constant(s).

What are the other ways to Calculate Maximum Frictional Force?

Here are the different ways to Calculate Maximum Frictional Force-

Maximum Frictional Force=Kinetic Energy of Vehicle at Design Speed/Braking Distance

Can the Maximum Frictional Force Developed during Braking Operation of Vehicle be negative?

No, the Maximum Frictional Force Developed during Braking Operation of Vehicle, measured in Force cannot be negative.

Which unit is used to measure Maximum Frictional Force Developed during Braking Operation of Vehicle?

Maximum Frictional Force Developed during Braking Operation of Vehicle is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Maximum Frictional Force Developed during Braking Operation of Vehicle can be measured.

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