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Velocity given Length Formula

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Vehicle Velocity can be described as the amount of distance a vehicle traveled in a particular time. Check FAQs

V = \sqrt{\frac{L c \cdot 100 \cdot f}{g 1 - (g 2)}}

V - Vehicle Velocity?L_c - Length of Curve?f - Allowable Centrifugal Acceleration?g₁ - Upgrade?g₂ - Downgrade?

Velocity given Length Example

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With units

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Here is how the Velocity given Length equation looks like with Values.

Here is how the Velocity given Length equation looks like with Units.

Here is how the Velocity given Length equation looks like.

99.9459 = \sqrt{\frac{616 \cdot 100 \cdot 0.6}{2.2 - (-1.5)}}

99.9459km/h = \sqrt{\frac{616m \cdot 100 \cdot 0.6m/s²}{2.2 - (-1.5)}}

99.9459 = \sqrt{\frac{616 \cdot 100 \cdot 0.6}{2.2 - (-1.5)}}

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Velocity given Length Solution

Follow our step by step solution on how to calculate Velocity given Length?

FIRST Step Consider the formula

V = \sqrt{\frac{L c \cdot 100 \cdot f}{g 1 - (g 2)}}

Next Step Substitute values of Variables

∴

V = \sqrt{\frac{616m \cdot 100 \cdot 0.6m/s²}{2.2 - (-1.5)}}

Next Step Prepare to Evaluate

∴

V = \sqrt{\frac{616 \cdot 100 \cdot 0.6}{2.2 - (-1.5)}}

Next Step Evaluate

∴

V = 27.7627587024555m/s

Next Step Convert to Output's Unit

∴

V = 99.9459313288399km/h

LAST Step Rounding Answer

∴

V = 99.9459km/h

Velocity given Length Formula Elements

Variables

Functions

Vehicle Velocity

Vehicle Velocity can be described as the amount of distance a vehicle traveled in a particular time.

Symbol: V

Measurement: SpeedUnit: km/h

Note: Value can be positive or negative.

Formulas to find Vehicle Velocity

Length of Curve

Length of Curve is determined by the permissible rate of change of grade or from centrifugal consideration as appropriate.

Symbol: L_c

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Length of Curve

Allowable Centrifugal Acceleration

Allowable Centrifugal Acceleration is the maximum limit for the centrifugal acceleration for comfort travel through vertical curves.

Symbol: f

Measurement: AccelerationUnit: m/s²

Note: Value can be positive or negative.

Formulas to find Allowable Centrifugal Acceleration

Upgrade

Upgrade is the gradient or the slope which is towards the crest of a curve. Mentioned by %.

Symbol: g₁

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Upgrade

Downgrade

Downgrade is the gradient or the slope which is guided to the downward direction of a curve. Mentioned by %.

Symbol: g₂

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Downgrade

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in Surveying Vertical Curves category

Go Length of Vertical Curve

L = \frac{N}{P N}

Go Change of Grade given Length

N = L \cdot P N

Go Permissible Grade given Length

P N = \frac{N}{L}

Go Length of Curve Based on Centrifugal Ratio

L c = ((g 1) - (g 2)) \cdot \frac{V^{2}}{100 \cdot f}

How to Evaluate Velocity given Length?

Velocity given Length evaluator uses Vehicle Velocity = sqrt((Length of Curve*100*Allowable Centrifugal Acceleration)/(Upgrade-(Downgrade))) to evaluate the Vehicle Velocity, Velocity given Length is defined as vehicle velocity to be maintained when rate of acceleration and change in gradient of vertical curve are provided. Vehicle Velocity is denoted by V symbol.

How to evaluate Velocity given Length using this online evaluator? To use this online evaluator for Velocity given Length, enter Length of Curve (L_c), Allowable Centrifugal Acceleration (f), Upgrade (g₁) & Downgrade (g₂) and hit the calculate button.

FAQs on Velocity given Length

What is the formula to find Velocity given Length?

The formula of Velocity given Length is expressed as Vehicle Velocity = sqrt((Length of Curve*100*Allowable Centrifugal Acceleration)/(Upgrade-(Downgrade))). Here is an example- 359.8054 = sqrt((616*100*0.6)/(2.2-((-1.5)))).

How to calculate Velocity given Length?

With Length of Curve (L_c), Allowable Centrifugal Acceleration (f), Upgrade (g₁) & Downgrade (g₂) we can find Velocity given Length using the formula - Vehicle Velocity = sqrt((Length of Curve*100*Allowable Centrifugal Acceleration)/(Upgrade-(Downgrade))). This formula also uses Square Root Function function(s).

Can the Velocity given Length be negative?

Yes, the Velocity given Length, measured in Speed can be negative.

Which unit is used to measure Velocity given Length?

Velocity given Length is usually measured using the Kilometer per Hour[km/h] for Speed. Meter per Second[km/h], Meter per Minute[km/h], Meter per Hour[km/h] are the few other units in which Velocity given Length can be measured.

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Velocity given Length Formula

Velocity given Length Example

Velocity given Length Solution

Velocity given Length Formula Elements

Other formulas in Surveying Vertical Curves category

How to Evaluate Velocity given Length?

FAQs on Velocity given Length

Variable Name