Velocity given Length Calculator

✖Length of Curve is determined by the permissible rate of change of grade or from centrifugal consideration as appropriate.ⓘ Length of Curve [L_c]			+10% -10%
✖Allowable Centrifugal Acceleration is the maximum limit for the centrifugal acceleration for comfort travel through vertical curves.ⓘ Allowable Centrifugal Acceleration [f]			+10% -10%
✖Upgrade is the gradient or the slope which is towards the crest of a curve. Mentioned by %.ⓘ Upgrade [g₁]			+10% -10%
✖Downgrade is the gradient or the slope which is guided to the downward direction of a curve. Mentioned by %.ⓘ Downgrade [g₂]			+10% -10%

✖Vehicle Velocity can be described as the amount of distance a vehicle traveled in a particular time.ⓘ Velocity given Length [V]

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Velocity given Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Vehicle Velocity = sqrt((Length of Curve*100*Allowable Centrifugal Acceleration)/(Upgrade-(Downgrade)))
V = sqrt((L_c*100*f)/(g₁-(g₂)))
This formula uses 1 Functions, 5 Variables

Functions Used

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., sqrt(Number)

Variables Used

Vehicle Velocity - (Measured in Kilometer per Hour) - Vehicle Velocity can be described as the amount of distance a vehicle traveled in a particular time.
Length of Curve - (Measured in Meter) - Length of Curve is determined by the permissible rate of change of grade or from centrifugal consideration as appropriate.
Allowable Centrifugal Acceleration - (Measured in Meter per Square Second) - Allowable Centrifugal Acceleration is the maximum limit for the centrifugal acceleration for comfort travel through vertical curves.
Upgrade - Upgrade is the gradient or the slope which is towards the crest of a curve. Mentioned by %.
Downgrade - Downgrade is the gradient or the slope which is guided to the downward direction of a curve. Mentioned by %.

STEP 1: Convert Input(s) to Base Unit

Length of Curve: 616 Meter --> 616 Meter No Conversion Required
Allowable Centrifugal Acceleration: 0.6 Meter per Square Second --> 0.6 Meter per Square Second No Conversion Required
Upgrade: 2.2 --> No Conversion Required
Downgrade: -1.5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = sqrt((L_c*100*f)/(g₁-(g₂))) --> sqrt((616*100*0.6)/(2.2-((-1.5))))

Evaluating ... ...

V = 99.9459313288399

STEP 3: Convert Result to Output's Unit

27.7627587024555 Meter per Second -->99.9459313288399 Kilometer per Hour (Check conversion here)

FINAL ANSWER

99.9459313288399 ≈ 99.94593 Kilometer per Hour <-- Vehicle Velocity

(Calculation completed in 00.004 seconds)

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Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< Surveying Vertical Curves Calculators

Length of Curve Based on Centrifugal Ratio

LaTeX Go Length of Curve = ((Upgrade)-(Downgrade))*Vehicle Velocity^2/(100*Allowable Centrifugal Acceleration)

Permissible Grade given Length

LaTeX Go Permissible Rate = Change in Grade/Length of Vertical Curve

Change of Grade given Length

LaTeX Go Change in Grade = Length of Vertical Curve*Permissible Rate

Length of Vertical Curve

LaTeX Go Length of Vertical Curve = Change in Grade/Permissible Rate

Velocity given Length Formula

LaTeX Go

Vehicle Velocity = sqrt((Length of Curve*100*Allowable Centrifugal Acceleration)/(Upgrade-(Downgrade)))
V = sqrt((L_c*100*f)/(g₁-(g₂)))

What are the Four Ways of Alignment of Vertical Curves?

1. when a descending gradient meets another descending gradient.
2. when a descending gradient meets a flat gradient.
3. when a descending gradient meets an ascending gradient.
4. when an ascending gradient meets another ascending gradient.

How to Calculate Velocity given Length?

Velocity given Length calculator uses Vehicle Velocity = sqrt((Length of Curve*100*Allowable Centrifugal Acceleration)/(Upgrade-(Downgrade))) to calculate 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 calculate Velocity given Length using this online calculator? To use this online calculator for Velocity given Length, enter Length of Curve (L_c), Allowable Centrifugal Acceleration (f), Upgrade (g₁) & Downgrade (g₂) and hit the calculate button. Here is how the Velocity given Length calculation can be explained with given input values -> 359.8054 = sqrt((616*100*0.6)/(2.2-((-1.5)))).

FAQ

What is Velocity given Length?

Velocity given Length is defined as vehicle velocity to be maintained when rate of acceleration and change in gradient of vertical curve are provided and is represented as V = sqrt((L_c*100*f)/(g₁-(g₂))) or Vehicle Velocity = sqrt((Length of Curve*100*Allowable Centrifugal Acceleration)/(Upgrade-(Downgrade))). Length of Curve is determined by the permissible rate of change of grade or from centrifugal consideration as appropriate, Allowable Centrifugal Acceleration is the maximum limit for the centrifugal acceleration for comfort travel through vertical curves, Upgrade is the gradient or the slope which is towards the crest of a curve. Mentioned by % & Downgrade is the gradient or the slope which is guided to the downward direction of a curve. Mentioned by %.

How to calculate Velocity given Length?

Velocity given Length is defined as vehicle velocity to be maintained when rate of acceleration and change in gradient of vertical curve are provided is calculated using Vehicle Velocity = sqrt((Length of Curve*100*Allowable Centrifugal Acceleration)/(Upgrade-(Downgrade))). To calculate Velocity given Length, you need Length of Curve (L_c), Allowable Centrifugal Acceleration (f), Upgrade (g₁) & Downgrade (g₂). With our tool, you need to enter the respective value for Length of Curve, Allowable Centrifugal Acceleration, Upgrade & Downgrade and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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