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Velocity of Vehicle given Breaking Distance Formula

GoVelocity of Vehicle in meter per second for Braking Distance Formula

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

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

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

Velocity of Vehicle given Breaking Distance Example

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Here is how the Velocity of Vehicle given Breaking Distance equation looks like with Values.

Here is how the Velocity of Vehicle given Breaking Distance equation looks like with Units.

Here is how the Velocity of Vehicle given Breaking Distance equation looks like.

10.848 = {(40 \cdot (2 \cdot 9.8066 \cdot 0.15))}^{0.5}

10.848m/s = {(40m \cdot (2 \cdot 9.8066m/s² \cdot 0.15))}^{0.5}

10.848 = {(40 \cdot (2 \cdot 9.8066 \cdot 0.15))}^{0.5}

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Velocity of Vehicle given Breaking Distance Solution

Follow our step by step solution on how to calculate Velocity of Vehicle given Breaking Distance?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V b = {(40m \cdot (2 \cdot [g] \cdot 0.15))}^{0.5}

Next Step Substitute values of Constants

∴

V b = {(40m \cdot (2 \cdot 9.8066m/s² \cdot 0.15))}^{0.5}

Next Step Prepare to Evaluate

∴

V b = {(40 \cdot (2 \cdot 9.8066 \cdot 0.15))}^{0.5}

Next Step Evaluate

∴

V b = 10.8480320795986m/s

LAST Step Rounding Answer

∴

V b = 10.848m/s

Velocity of Vehicle given Breaking Distance Formula Elements

Variables

Constants

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

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 Speed of Slow moving vehicle

Go Velocity of Vehicle in meter per second for Braking Distance

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

Other formulas in Braking Distance category

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

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}

How to Evaluate Velocity of Vehicle given Breaking Distance?

Velocity of Vehicle given Breaking Distance evaluator uses Speed of Slow moving vehicle = (Breaking Distance*(2*[g]*Design Coefficient of Friction))^0.5 to evaluate the Speed of Slow moving vehicle, Velocity of Vehicle given Breaking Distance formula is defined as speed at which vehicle moves at road surface. Speed of Slow moving vehicle is denoted by V_b symbol.

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

FAQs on Velocity of Vehicle given Breaking Distance

What is the formula to find Velocity of Vehicle given Breaking Distance?

The formula of Velocity of Vehicle given Breaking Distance is expressed as Speed of Slow moving vehicle = (Breaking Distance*(2*[g]*Design Coefficient of Friction))^0.5. Here is an example- 10.84803 = (40*(2*[g]*0.15))^0.5.

How to calculate Velocity of Vehicle given Breaking Distance?

With Breaking Distance (BD) & Design Coefficient of Friction (f) we can find Velocity of Vehicle given Breaking Distance using the formula - Speed of Slow moving vehicle = (Breaking Distance*(2*[g]*Design Coefficient of Friction))^0.5. This formula also uses Gravitational acceleration on Earth constant(s).

What are the other ways to Calculate Speed of Slow moving vehicle?

Here are the different ways to Calculate Speed of Slow moving vehicle-

Speed of Slow moving vehicle=sqrt(Breaking Distance*(2*[g]*Design Coefficient of Friction))

Can the Velocity of Vehicle given Breaking Distance be negative?

No, the Velocity of Vehicle given Breaking Distance, measured in Speed cannot be negative.

Which unit is used to measure Velocity of Vehicle given Breaking Distance?

Velocity of Vehicle given Breaking Distance 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 Breaking Distance can be measured.

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