Allowable Centrifugal Acceleration given Length Calculator

✖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.ⓘ Vehicle Velocity [V]			+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 given Length [f]

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Formula

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Allowable Centrifugal Acceleration given Length

Formula

`"f" = (("g"_{"1"})-("g"_{"2"}))*"V"^2/(100*"L"_{"c"})`

Example

`"0.600649m/s²"=(("2.2")-("-1.5"))*("100km/h")^2/(100*"616m")`

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Download Surveying Vertical Curves Formulas PDF

Allowable Centrifugal Acceleration given Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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 %.
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.

STEP 1: Convert Input(s) to Base Unit

Upgrade: 2.2 --> No Conversion Required
Downgrade: -1.5 --> No Conversion Required
Vehicle Velocity: 100 Kilometer per Hour --> 100 Kilometer per Hour No Conversion Required
Length of Curve: 616 Meter --> 616 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f = ((g₁)-(g₂))*V^2/(100*L_c) --> ((2.2)-((-1.5)))*100^2/(100*616)

Evaluating ... ...

f = 0.600649350649351

STEP 3: Convert Result to Output's Unit

0.600649350649351 Meter per Square Second --> No Conversion Required

FINAL ANSWER

0.600649350649351 ≈ 0.600649 Meter per Square Second <-- Allowable Centrifugal Acceleration

(Calculation completed in 00.004 seconds)

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NSS College of Engineering (NSSCE), Palakkad

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< 19 Surveying Vertical Curves Calculators

Sight Distance when Length of Curve is Less

Go Sight Distance SSD = 0.5*Length of Curve+(100*(sqrt(Height of Observer)+sqrt(Height of Object))^2)/((Upgrade)-(Downgrade))

Length of Curve when Sight Distance is More

Go Length of Curve = 2*Sight Distance SSD-(200*(sqrt(Height of Observer)+sqrt(Height of Object))^2)/((Upgrade)-(Downgrade))

Length of Curve when S is Less than L

Go Length of Curve = Sight Distance SSD^2*((Upgrade)-(Downgrade))/(200*(sqrt(Height of Observer)+sqrt(Height of Object))^2)

Velocity given Length

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

Sight Distance when S is Less than L and h1 and h2 are same

Go Sight Distance SSD = sqrt((800*Height of Vertical Curves*Length of Curve)/((Upgrade)-(Downgrade)))

Sight Distance when S is Less than L

Go Sight Distance = (1/Tangential Correction)*(sqrt(Height of Observer)+sqrt(Height of Object))

Allowable Centrifugal Acceleration given Length

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

Length of Curve Based on Centrifugal Ratio

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

Upgrade given Length based on Centrifugal Ratio

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

Sight Distance when Length of Curve is Less and Both Height of Observer and Object is Same

Go Sight Distance SSD = (Length of Curve/2)+(400*Height of Vertical Curves/((Upgrade)-(Downgrade)))

Downgrade given Length based on Centrifugal Ratio

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

Length of Curve when S is Less than L and h1 and h2 are same

Go Length of Curve = ((Upgrade)-(Downgrade))*Sight Distance SSD^2/(800*Height of Vertical Curves)

Length of Curve when Height of Observer and Object are Same

Go Length of Curve = 2*Sight Distance SSD-(800*Height of Vertical Curves/((Upgrade)-(Downgrade)))

Length of Curve given Change in Grade where S is more than L

Go Length of Curve = 2*Sight Distance SSD-(800*Height of Vertical Curves/Change in Grade)

Length given S is Less than L and Change of Grade

Go Length of Curve = Change in Grade*Sight Distance SSD^2/(800*Height of Vertical Curves)

Tangential Correction

Go Tangential Correction = (Upgrade-Downgrade)/4*Number of Chords

Permissible Grade given Length

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

Change of Grade given Length

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

Length of Vertical Curve

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

Allowable Centrifugal Acceleration given Length Formula

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

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 Allowable Centrifugal Acceleration given Length?

Allowable Centrifugal Acceleration given Length calculator uses Allowable Centrifugal Acceleration = ((Upgrade)-(Downgrade))*Vehicle Velocity^2/(100*Length of Curve) to calculate the Allowable Centrifugal Acceleration, Allowable Centrifugal Acceleration given Length is defined as maximum limit of centrifugal acceleration provided in vertical curves for comfort travel. allowable rate of change of centrifugal acceleration is limited to comfortable level of about 0.6m/sec^3. . Allowable Centrifugal Acceleration is denoted by f symbol.

How to calculate Allowable Centrifugal Acceleration given Length using this online calculator? To use this online calculator for Allowable Centrifugal Acceleration given Length, enter Upgrade (g₁), Downgrade (g₂), Vehicle Velocity (V) & Length of Curve (L_c) and hit the calculate button. Here is how the Allowable Centrifugal Acceleration given Length calculation can be explained with given input values -> 0.600649 = ((2.2)-((-1.5)))*27.7777777777778^2/(100*616).

FAQ

What is Allowable Centrifugal Acceleration given Length?

Allowable Centrifugal Acceleration given Length is defined as maximum limit of centrifugal acceleration provided in vertical curves for comfort travel. allowable rate of change of centrifugal acceleration is limited to comfortable level of about 0.6m/sec^3. and is represented as f = ((g₁)-(g₂))*V^2/(100*L_c) or Allowable Centrifugal Acceleration = ((Upgrade)-(Downgrade))*Vehicle Velocity^2/(100*Length of Curve). 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 %, Vehicle Velocity can be described as the amount of distance a vehicle traveled in a particular time & Length of Curve is determined by the permissible rate of change of grade or from centrifugal consideration as appropriate.

How to calculate Allowable Centrifugal Acceleration given Length?

Allowable Centrifugal Acceleration given Length is defined as maximum limit of centrifugal acceleration provided in vertical curves for comfort travel. allowable rate of change of centrifugal acceleration is limited to comfortable level of about 0.6m/sec^3. is calculated using Allowable Centrifugal Acceleration = ((Upgrade)-(Downgrade))*Vehicle Velocity^2/(100*Length of Curve). To calculate Allowable Centrifugal Acceleration given Length, you need Upgrade (g₁), Downgrade (g₂), Vehicle Velocity (V) & Length of Curve (L_c). With our tool, you need to enter the respective value for Upgrade, Downgrade, Vehicle Velocity & Length of Curve 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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