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Coefficient of Longitudinal Friction given Breaking Distance Formula

GoCoefficient of Friction given Stopping Sight Distance Formula

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

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

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

Coefficient of Longitudinal Friction given Breaking Distance Example

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Here is how the Coefficient of Longitudinal Friction given Breaking Distance equation looks like with Values.

Here is how the Coefficient of Longitudinal Friction given Breaking Distance equation looks like with Units.

Here is how the Coefficient of Longitudinal Friction given Breaking Distance equation looks like.

0.1573 = \frac{{11.11}^{2}}{2 \cdot 9.8066 \cdot 40}

0.1573 = \frac{{11.11m/s}^{2}}{2 \cdot 9.8066m/s² \cdot 40m}

0.1573 = \frac{{11.11}^{2}}{2 \cdot 9.8066 \cdot 40}

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Coefficient of Longitudinal Friction given Breaking Distance Solution

Follow our step by step solution on how to calculate Coefficient of Longitudinal Friction given Breaking Distance?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

f = \frac{{11.11m/s}^{2}}{2 \cdot [g] \cdot 40m}

Next Step Substitute values of Constants

∴

f = \frac{{11.11m/s}^{2}}{2 \cdot 9.8066m/s² \cdot 40m}

Next Step Prepare to Evaluate

∴

f = \frac{{11.11}^{2}}{2 \cdot 9.8066 \cdot 40}

Next Step Evaluate

∴

f = 0.157332141964891

LAST Step Rounding Answer

∴

f = 0.1573

Coefficient of Longitudinal Friction given Breaking Distance Formula Elements

Variables

Constants

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

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

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

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 Design Coefficient of Friction

Go Coefficient of Friction given Stopping Sight Distance

f = \frac{{V b}^{2}}{2 \cdot [g] \cdot (SSD - (V b \cdot t))}

How to Evaluate Coefficient of Longitudinal Friction given Breaking Distance?

Coefficient of Longitudinal Friction given Breaking Distance evaluator uses Design Coefficient of Friction = (Speed of Slow moving vehicle^2)/(2*[g]*Breaking Distance) to evaluate the Design Coefficient of Friction, Coefficient of Longitudinal Friction given Breaking Distance formula is defined as resistive power of road surface. Design Coefficient of Friction is denoted by f symbol.

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

FAQs on Coefficient of Longitudinal Friction given Breaking Distance

What is the formula to find Coefficient of Longitudinal Friction given Breaking Distance?

The formula of Coefficient of Longitudinal Friction given Breaking Distance is expressed as Design Coefficient of Friction = (Speed of Slow moving vehicle^2)/(2*[g]*Breaking Distance). Here is an example- 0.157332 = (11.11^2)/(2*[g]*40).

How to calculate Coefficient of Longitudinal Friction given Breaking Distance?

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

What are the other ways to Calculate Design Coefficient of Friction?

Here are the different ways to Calculate Design Coefficient of Friction-

Design Coefficient of Friction=(Speed of Slow moving vehicle^2)/(2*[g]*(Stopping Sight Distance-(Speed of Slow moving vehicle*Break Reaction Time)))

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