Downgrade given Length based on Centrifugal Ratio Calculator

✖Upgrade is the gradient or the slope which is towards the crest of a curve. Mentioned by %.ⓘ Upgrade [g₁]			+10% -10%
✖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%
✖Vehicle Velocity can be described as the amount of distance a vehicle traveled in a particular time.ⓘ Vehicle Velocity [V]			+10% -10%

✖Downgrade is the gradient or the slope which is guided to the downward direction of a curve. Mentioned by %.ⓘ Downgrade given Length based on Centrifugal Ratio [g₂]

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Downgrade given Length based on Centrifugal Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Downgrade = Upgrade-(Length of Curve*100*Allowable Centrifugal Acceleration/Vehicle Velocity^2)
g₂ = g₁-(L_c*100*f/V^2)
This formula uses 5 Variables

Variables Used

Downgrade - Downgrade is the gradient or the slope which is guided to the downward direction of a curve. Mentioned by %.
Upgrade - Upgrade is the gradient or the slope which is towards the crest of a curve. Mentioned by %.
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.
Vehicle Velocity - (Measured in Kilometer per Hour) - Vehicle Velocity can be described as the amount of distance a vehicle traveled in a particular time.

STEP 1: Convert Input(s) to Base Unit

Upgrade: 2.2 --> No Conversion Required
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
Vehicle Velocity: 100 Kilometer per Hour --> 100 Kilometer per Hour No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

g₂ = g₁-(L_c*100*f/V^2) --> 2.2-(616*100*0.6/100^2)

Evaluating ... ...

g₂ = -1.496

STEP 3: Convert Result to Output's Unit

-1.496 --> No Conversion Required

FINAL ANSWER

-1.496 <-- Downgrade

(Calculation completed in 00.004 seconds)

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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

Downgrade given Length based on Centrifugal Ratio Formula

LaTeX Go

Downgrade = Upgrade-(Length of Curve*100*Allowable Centrifugal Acceleration/Vehicle Velocity^2)
g₂ = g₁-(L_c*100*f/V^2)

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How to Calculate Downgrade given Length based on Centrifugal Ratio?

Downgrade given Length based on Centrifugal Ratio calculator uses Downgrade = Upgrade-(Length of Curve*100*Allowable Centrifugal Acceleration/Vehicle Velocity^2) to calculate the Downgrade, The Downgrade given Length based on Centrifugal Ratio formula is defined as the downward gradient of the vertical curve which gives or makes a decremental slope. Downgrade is denoted by g₂ symbol.

How to calculate Downgrade given Length based on Centrifugal Ratio using this online calculator? To use this online calculator for Downgrade given Length based on Centrifugal Ratio, enter Upgrade (g₁), Length of Curve (L_c), Allowable Centrifugal Acceleration (f) & Vehicle Velocity (V) and hit the calculate button. Here is how the Downgrade given Length based on Centrifugal Ratio calculation can be explained with given input values -> -1.496 = 2.2-(616*100*0.6/27.7777777777778^2).

FAQ

What is Downgrade given Length based on Centrifugal Ratio?

The Downgrade given Length based on Centrifugal Ratio formula is defined as the downward gradient of the vertical curve which gives or makes a decremental slope and is represented as g₂ = g₁-(L_c*100*f/V^2) or Downgrade = Upgrade-(Length of Curve*100*Allowable Centrifugal Acceleration/Vehicle Velocity^2). Upgrade is the gradient or the slope which is towards the crest of a curve. Mentioned by %, 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 & Vehicle Velocity can be described as the amount of distance a vehicle traveled in a particular time.

How to calculate Downgrade given Length based on Centrifugal Ratio?

The Downgrade given Length based on Centrifugal Ratio formula is defined as the downward gradient of the vertical curve which gives or makes a decremental slope is calculated using Downgrade = Upgrade-(Length of Curve*100*Allowable Centrifugal Acceleration/Vehicle Velocity^2). To calculate Downgrade given Length based on Centrifugal Ratio, you need Upgrade (g₁), Length of Curve (L_c), Allowable Centrifugal Acceleration (f) & Vehicle Velocity (V). With our tool, you need to enter the respective value for Upgrade, Length of Curve, Allowable Centrifugal Acceleration & Vehicle Velocity 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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