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Braking Distance on Inclined Surface Formula

GoBreaking Distance given Stopping Sight Distance Formula

GoBreaking Distance 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 + 0.01 \cdot ΔH}

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

Braking Distance on Inclined Surface Example

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Here is how the Braking Distance on Inclined Surface equation looks like with Values.

Here is how the Braking Distance on Inclined Surface equation looks like with Units.

Here is how the Braking Distance on Inclined Surface equation looks like.

39.9199 = \frac{{11.11}^{2}}{2 \cdot 9.8066 \cdot 0.15 + 0.01 \cdot 15}

39.9199m = \frac{{11.11m/s}^{2}}{2 \cdot 9.8066m/s² \cdot 0.15 + 0.01 \cdot 15m}

39.9199 = \frac{{11.11}^{2}}{2 \cdot 9.8066 \cdot 0.15 + 0.01 \cdot 15}

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Braking Distance on Inclined Surface Solution

Follow our step by step solution on how to calculate Braking Distance on Inclined Surface?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

BD = \frac{{11.11m/s}^{2}}{2 \cdot [g] \cdot 0.15 + 0.01 \cdot 15m}

Next Step Substitute values of Constants

∴

BD = \frac{{11.11m/s}^{2}}{2 \cdot 9.8066m/s² \cdot 0.15 + 0.01 \cdot 15m}

Next Step Prepare to Evaluate

∴

BD = \frac{{11.11}^{2}}{2 \cdot 9.8066 \cdot 0.15 + 0.01 \cdot 15}

Next Step Evaluate

∴

BD = 39.9198899092657m

LAST Step Rounding Answer

∴

BD = 39.9199m

Braking Distance on Inclined Surface 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

Difference in Elevation

Difference in elevation at ends of measured length.

Symbol: ΔH

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Difference in Elevation

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 Breaking Distance

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

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 Braking Distance on Inclined Surface?

Braking Distance on Inclined Surface evaluator uses Breaking Distance = (Speed of Slow moving vehicle^2)/(2*[g]*Design Coefficient of Friction+0.01*Difference in Elevation) to evaluate the Breaking Distance, Braking Distance on Inclined Surface formula is defined as distance vehicle will travel from point when its brakes are fully applied to when it comes to complete stop. Breaking Distance is denoted by BD symbol.

How to evaluate Braking Distance on Inclined Surface using this online evaluator? To use this online evaluator for Braking Distance on Inclined Surface, enter Speed of Slow moving vehicle (V_b), Design Coefficient of Friction (f) & Difference in Elevation (ΔH) and hit the calculate button.

FAQs on Braking Distance on Inclined Surface

What is the formula to find Braking Distance on Inclined Surface?

The formula of Braking Distance on Inclined Surface is expressed as Breaking Distance = (Speed of Slow moving vehicle^2)/(2*[g]*Design Coefficient of Friction+0.01*Difference in Elevation). Here is an example- 39.91989 = (11.11^2)/(2*[g]*0.15+0.01*15).

How to calculate Braking Distance on Inclined Surface?

With Speed of Slow moving vehicle (V_b), Design Coefficient of Friction (f) & Difference in Elevation (ΔH) we can find Braking Distance on Inclined Surface using the formula - Breaking Distance = (Speed of Slow moving vehicle^2)/(2*[g]*Design Coefficient of Friction+0.01*Difference in Elevation). 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)
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 Braking Distance on Inclined Surface be negative?

No, the Braking Distance on Inclined Surface, measured in Length cannot be negative.

Which unit is used to measure Braking Distance on Inclined Surface?

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

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Braking Distance on Inclined Surface Formula

​GoBreaking Distance given Stopping Sight Distance Formula

​GoBreaking Distance Formula

Braking Distance on Inclined Surface Example

Braking Distance on Inclined Surface Solution

Braking Distance on Inclined Surface Formula Elements

Other Formulas to find Breaking Distance

Other formulas in Braking Distance category

How to Evaluate Braking Distance on Inclined Surface?

FAQs on Braking Distance on Inclined Surface

Variable Name

GoBreaking Distance given Stopping Sight Distance Formula

GoBreaking Distance Formula