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Velocity of Vehicle given Braking Distance after Braking Operation Formula

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

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

v_vehicle - Velocity?f - Coefficient of Friction?l - Braking Distance?[g] - Gravitational acceleration on Earth?

Velocity of Vehicle given Braking Distance after Braking Operation Example

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Here is how the Velocity of Vehicle given Braking Distance after Braking Operation equation looks like with Values.

Here is how the Velocity of Vehicle given Braking Distance after Braking Operation equation looks like with Units.

Here is how the Velocity of Vehicle given Braking Distance after Braking Operation equation looks like.

28.2332 = \sqrt{2 \cdot 9.8066 \cdot 0.8467 \cdot 48}

28.2332m/s = \sqrt{2 \cdot 9.8066m/s² \cdot 0.8467 \cdot 48m}

28.2332 = \sqrt{2 \cdot 9.8066 \cdot 0.8467 \cdot 48}

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Velocity of Vehicle given Braking Distance after Braking Operation Solution

Follow our step by step solution on how to calculate Velocity of Vehicle given Braking Distance after Braking Operation?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

v vehicle = \sqrt{2 \cdot [g] \cdot 0.8467 \cdot 48m}

Next Step Substitute values of Constants

∴

v vehicle = \sqrt{2 \cdot 9.8066m/s² \cdot 0.8467 \cdot 48m}

Next Step Prepare to Evaluate

∴

v vehicle = \sqrt{2 \cdot 9.8066 \cdot 0.8467 \cdot 48}

Next Step Evaluate

∴

v vehicle = 28.2332409276725m/s

LAST Step Rounding Answer

∴

v vehicle = 28.2332m/s

Velocity of Vehicle given Braking Distance after Braking Operation Formula Elements

Variables

Constants

Functions

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

Coefficient of Friction

Coefficient of Friction is a dimensionless value that characterizes the frictional force between two surfaces in contact, affecting the sight distance on a road.

Symbol: f

Measurement: NAUnit: Unitless

Note: Value should be less than 1.

Formulas to find Coefficient of Friction

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

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 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 Velocity of Vehicle given Braking Distance after Braking Operation?

Velocity of Vehicle given Braking Distance after Braking Operation evaluator uses Velocity = sqrt(2*[g]*Coefficient of Friction*Braking Distance) to evaluate the Velocity, Velocity of Vehicle given Braking Distance after Braking Operation formula is defined as a measure of the speed of a vehicle at the instant it starts to brake, which is a critical parameter in determining the stopping distance and safety of a vehicle under various road and traffic conditions. Velocity is denoted by v_vehicle symbol.

How to evaluate Velocity of Vehicle given Braking Distance after Braking Operation using this online evaluator? To use this online evaluator for Velocity of Vehicle given Braking Distance after Braking Operation, enter Coefficient of Friction (f) & Braking Distance (l) and hit the calculate button.

FAQs on Velocity of Vehicle given Braking Distance after Braking Operation

What is the formula to find Velocity of Vehicle given Braking Distance after Braking Operation?

The formula of Velocity of Vehicle given Braking Distance after Braking Operation is expressed as Velocity = sqrt(2*[g]*Coefficient of Friction*Braking Distance). Here is an example- 28.23658 = sqrt(2*[g]*0.8467*48).

How to calculate Velocity of Vehicle given Braking Distance after Braking Operation?

With Coefficient of Friction (f) & Braking Distance (l) we can find Velocity of Vehicle given Braking Distance after Braking Operation using the formula - Velocity = sqrt(2*[g]*Coefficient of Friction*Braking Distance). This formula also uses Gravitational acceleration on Earth constant(s) and Square Root (sqrt) function(s).

Can the Velocity of Vehicle given Braking Distance after Braking Operation be negative?

No, the Velocity of Vehicle given Braking Distance after Braking Operation, measured in Speed cannot be negative.

Which unit is used to measure Velocity of Vehicle given Braking Distance after Braking Operation?

Velocity of Vehicle given Braking Distance after Braking Operation 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 Velocity of Vehicle given Braking Distance after Braking Operation can be measured.

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