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Braking Distance of Vehicle during Braking Operation Formula

GoBraking Distance given Lag Distance and Stopping Sight Distance Formula

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

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

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

Braking Distance of Vehicle during Braking Operation Example

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Here is how the Braking Distance of Vehicle during Braking Operation equation looks like with Values.

Here is how the Braking Distance of Vehicle during Braking Operation equation looks like with Units.

Here is how the Braking Distance of Vehicle during Braking Operation equation looks like.

47.989 = \frac{{28.23}^{2}}{2 \cdot 9.8066 \cdot 0.8467}

47.989m = \frac{{28.23m/s}^{2}}{2 \cdot 9.8066m/s² \cdot 0.8467}

47.989 = \frac{{28.23}^{2}}{2 \cdot 9.8066 \cdot 0.8467}

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Braking Distance of Vehicle during Braking Operation Solution

Follow our step by step solution on how to calculate Braking Distance of Vehicle during Braking Operation?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l = \frac{{28.23m/s}^{2}}{2 \cdot [g] \cdot 0.8467}

Next Step Substitute values of Constants

∴

l = \frac{{28.23m/s}^{2}}{2 \cdot 9.8066m/s² \cdot 0.8467}

Next Step Prepare to Evaluate

∴

l = \frac{{28.23}^{2}}{2 \cdot 9.8066 \cdot 0.8467}

Next Step Evaluate

∴

l = 47.9889806770709m

LAST Step Rounding Answer

∴

l = 47.989m

Braking Distance of Vehicle during Braking Operation Formula Elements

Variables

Constants

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

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

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 Braking Distance

Go Braking Distance given Lag Distance and Stopping Sight Distance

l = SSD - LD

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 Maximum Frictional Force Developed during Braking Operation of Vehicle

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

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 Braking Distance of Vehicle during Braking Operation?

Braking Distance of Vehicle during Braking Operation evaluator uses Braking Distance = Velocity^2/(2*[g]*Coefficient of Friction) to evaluate the Braking Distance, Braking Distance of Vehicle during Braking Operation formula is defined as the total distance travelled by a vehicle from the point of viewing an obstacle to the point where it comes to a complete stop, taking into account the speed of the vehicle and the frictional force acting upon it. Braking Distance is denoted by l symbol.

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

FAQs on Braking Distance of Vehicle during Braking Operation

What is the formula to find Braking Distance of Vehicle during Braking Operation?

The formula of Braking Distance of Vehicle during Braking Operation is expressed as Braking Distance = Velocity^2/(2*[g]*Coefficient of Friction). Here is an example- 47.97765 = 28.23^2/(2*[g]*0.8467).

How to calculate Braking Distance of Vehicle during Braking Operation?

With Velocity (v_vehicle) & Coefficient of Friction (f) we can find Braking Distance of Vehicle during Braking Operation using the formula - Braking Distance = Velocity^2/(2*[g]*Coefficient of Friction). This formula also uses Gravitational acceleration on Earth constant(s).

What are the other ways to Calculate Braking Distance?

Here are the different ways to Calculate Braking Distance-

Braking Distance=Sight Stopping Distance-Lag Distance

Can the Braking Distance of Vehicle during Braking Operation be negative?

No, the Braking Distance of Vehicle during Braking Operation, measured in Length cannot be negative.

Which unit is used to measure Braking Distance of Vehicle during Braking Operation?

Braking Distance of Vehicle during Braking Operation is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Braking Distance of Vehicle during Braking Operation can be measured.

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