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Breaking Distance Formula

GoBreaking Distance given Stopping Sight Distance Formula

GoBraking Distance on Inclined Surface Formula

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Breaking distance is defined as the distance traveled after applying brake till the vehicle stops. Check FAQs

BD = \frac{{V b}^{2}}{2 \cdot [g] \cdot f}

BD - Breaking Distance?V_b - Speed of Slow moving vehicle?f - Design Coefficient of Friction?[g] - Gravitational acceleration on Earth?

Breaking Distance Example

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Here is how the Breaking Distance equation looks like with Values.

Here is how the Breaking Distance equation looks like with Units.

Here is how the Breaking Distance equation looks like.

41.9552 = \frac{{11.11}^{2}}{2 \cdot 9.8066 \cdot 0.15}

41.9552m = \frac{{11.11m/s}^{2}}{2 \cdot 9.8066m/s² \cdot 0.15}

41.9552 = \frac{{11.11}^{2}}{2 \cdot 9.8066 \cdot 0.15}

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Breaking Distance Solution

Follow our step by step solution on how to calculate Breaking Distance?

FIRST Step Consider the formula

BD = \frac{{V b}^{2}}{2 \cdot [g] \cdot f}

Next Step Substitute values of Variables

∴

BD = \frac{{11.11m/s}^{2}}{2 \cdot [g] \cdot 0.15}

Next Step Substitute values of Constants

∴

BD = \frac{{11.11m/s}^{2}}{2 \cdot 9.8066m/s² \cdot 0.15}

Next Step Prepare to Evaluate

∴

BD = \frac{{11.11}^{2}}{2 \cdot 9.8066 \cdot 0.15}

Next Step Evaluate

∴

BD = 41.9552378573043m

LAST Step Rounding Answer

∴

BD = 41.9552m

Breaking Distance Formula Elements

Variables

Constants

Breaking Distance

Breaking distance is defined as the distance traveled after applying brake till the vehicle stops.

Symbol: BD

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Breaking Distance

Speed of Slow moving vehicle

Speed of Slow moving vehicle is the speed of vehicle which has to be overtaken.

Symbol: V_b

Measurement: SpeedUnit: m/s

Note: Value should be greater than 5.

Formulas to find Speed of Slow moving vehicle

Design Coefficient of Friction

Design Coefficient of Friction is a dimensionless number that is defined as the ratio between friction force and normal force.

Symbol: f

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Design 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 Breaking Distance

Go Breaking Distance given Stopping Sight Distance

BD = SSD - LD

Go Braking Distance on Inclined Surface

BD = \frac{{V b}^{2}}{2 \cdot [g] \cdot f + 0.01 \cdot ΔH}

Go Braking Distance on Inclined Surface with Efficiency

BD = \frac{{V b}^{2}}{2 \cdot [g] \cdot f \cdot η x + 0.01 \cdot ΔH}

Go Braking Distance on Level Ground with Efficiency

BD = \frac{{V b}^{2}}{2 \cdot [g] \cdot f}

Other formulas in Braking Distance category

Go Velocity of Vehicle given Breaking Distance

V b = {(BD \cdot (2 \cdot [g] \cdot f))}^{0.5}

Go Velocity of Vehicle in meter per second for Braking Distance

V b = \sqrt{BD \cdot (2 \cdot [g] \cdot f)}

How to Evaluate Breaking Distance?

Breaking Distance evaluator uses Breaking Distance = (Speed of Slow moving vehicle^2)/(2*[g]*Design Coefficient of Friction) to evaluate the Breaking Distance, The Breaking Distance formula is defined as distance travelled by the vehicle after applying the brakes and untill the vehicles stops. Breaking Distance is denoted by BD symbol.

How to evaluate Breaking Distance using this online evaluator? To use this online evaluator for Breaking Distance, enter Speed of Slow moving vehicle (V_b) & Design Coefficient of Friction (f) and hit the calculate button.

FAQs on Breaking Distance

What is the formula to find Breaking Distance?

The formula of Breaking Distance is expressed as Breaking Distance = (Speed of Slow moving vehicle^2)/(2*[g]*Design Coefficient of Friction). Here is an example- 41.95524 = (11.11^2)/(2*[g]*0.15).

How to calculate Breaking Distance?

With Speed of Slow moving vehicle (V_b) & Design Coefficient of Friction (f) we can find Breaking Distance using the formula - Breaking Distance = (Speed of Slow moving vehicle^2)/(2*[g]*Design Coefficient of Friction). This formula also uses Gravitational acceleration on Earth constant(s).

What are the other ways to Calculate Breaking Distance?

Here are the different ways to Calculate Breaking Distance-

Breaking Distance=Stopping Sight Distance-Lag Distance
Breaking Distance=(Speed of Slow moving vehicle^2)/(2*[g]*Design Coefficient of Friction+0.01*Difference in Elevation)
Breaking Distance=(Speed of Slow moving vehicle^2)/(2*[g]*Design Coefficient of Friction*Overall Efficiency from Shaft A to X+0.01*Difference in Elevation)

Can the Breaking Distance be negative?

No, the Breaking Distance, measured in Length cannot be negative.

Which unit is used to measure Breaking Distance?

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

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