Rate of Increase of Radial Acceleration Calculator

✖Vehicle Velocity can be described as the amount of distance vehicle travelled in a perticular time.ⓘ Vehicle Velocity [V_v]			+10% -10%
✖Minimum Length of Spiral can be described as a horizontal circular curve, a vehicle and its contents are immediately subjected to centrifugal forces.ⓘ Minimum Length of Spiral [L]			+10% -10%
✖Radius of Curve for Road can be defined as the radius at which the spiral is joined.ⓘ Radius of Curve for Road [R_t]			+10% -10%

✖Rate of Increase of Radial Acceleration can be defined as an empirical value indicative of the comfort and safety involved.ⓘ Rate of Increase of Radial Acceleration [a_c]

⎘ Copy

👎

Formula

✖

Rate of Increase of Radial Acceleration

Formula

`"a"_{"c"} = (3.15*("V"_{"v"})^3)/ ("L"*"R"_{"t"})`

Example

`"2.000029"= (3.15*("41km/h")^3)/ ("361.83m"*"300m")`

Calculator

LaTeX

Reset

👍

Download Highway and Road Formula PDF

Rate of Increase of Radial Acceleration Solution

STEP 0: Pre-Calculation Summary

Formula Used

Rate of Increase of Radial Acceleration = (3.15*(Vehicle Velocity)^3)/ (Minimum Length of Spiral*Radius of Curve for Road)
a_c = (3.15*(V_v)^3)/ (L*R_t)
This formula uses 4 Variables

Variables Used

Rate of Increase of Radial Acceleration - Rate of Increase of Radial Acceleration can be defined as an empirical value indicative of the comfort and safety involved.
Vehicle Velocity - (Measured in Kilometer per Hour) - Vehicle Velocity can be described as the amount of distance vehicle travelled in a perticular time.
Minimum Length of Spiral - (Measured in Meter) - Minimum Length of Spiral can be described as a horizontal circular curve, a vehicle and its contents are immediately subjected to centrifugal forces.
Radius of Curve for Road - (Measured in Meter) - Radius of Curve for Road can be defined as the radius at which the spiral is joined.

STEP 1: Convert Input(s) to Base Unit

Vehicle Velocity: 41 Kilometer per Hour --> 41 Kilometer per Hour No Conversion Required
Minimum Length of Spiral: 361.83 Meter --> 361.83 Meter No Conversion Required
Radius of Curve for Road: 300 Meter --> 300 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a_c = (3.15*(V_v)^3)/ (L*R_t) --> (3.15*(41)^3)/ (361.83*300)

Evaluating ... ...

a_c = 2.00002901915264

STEP 3: Convert Result to Output's Unit

2.00002901915264 --> No Conversion Required

FINAL ANSWER

2.00002901915264 ≈ 2.000029 <-- Rate of Increase of Radial Acceleration

(Calculation completed in 00.022 seconds)

You are here -

Home » Engineering » Civil » Transportation Engineering » Highway Engineering » Highway and Road » Parabolic and Transition Curves » Transition (Spiral) Curves » Rate of Increase of Radial Acceleration

Credits

Created by M Naveen

National Institute of Technology (NIT), Warangal

M Naveen has created this Calculator and 500+ more calculators!

Verified by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has verified this Calculator and 1700+ more calculators!

< 4 Transition (Spiral) Curves Calculators

Rate of Increase of Radial Acceleration

Go Rate of Increase of Radial Acceleration = (3.15*(Vehicle Velocity)^3)/ (Minimum Length of Spiral*Radius of Curve for Road)

Vehicle Velocity given Minimum Length of Spiral

Go Vehicle Velocity = ((Minimum Length of Spiral*Radius of Curve for Road*Rate of Increase of Radial Acceleration)/3.15)^(1/3)

Radius of Circular Curve Minimum Length

Go Radius of Curve for Road = (3.15*(Vehicle Velocity^3))/(Minimum Length of Spiral*Rate of Increase of Radial Acceleration)

Minimum Length of Spiral

Go Minimum Length of Spiral = (3.15*(Vehicle Velocity^3))/(Radius of Curve for Road*Rate of Increase of Radial Acceleration)

Rate of Increase of Radial Acceleration Formula

Rate of Increase of Radial Acceleration = (3.15*(Vehicle Velocity)^3)/ (Minimum Length of Spiral*Radius of Curve for Road)
a_c = (3.15*(V_v)^3)/ (L*R_t)

What is empirical value of Rate of increase of radial acceleration?

Rate of increase of radial acceleration values are often used for highways range from 1 to 3, for railroads the empirical value used as unity(1).

How to Calculate Rate of Increase of Radial Acceleration?

Rate of Increase of Radial Acceleration calculator uses Rate of Increase of Radial Acceleration = (3.15*(Vehicle Velocity)^3)/ (Minimum Length of Spiral*Radius of Curve for Road) to calculate the Rate of Increase of Radial Acceleration, The Rate of Increase of Radial Acceleration given formula is defined as an empirical value indicative of the comfort and safety involved. Rate of Increase of Radial Acceleration is denoted by a_c symbol.

How to calculate Rate of Increase of Radial Acceleration using this online calculator? To use this online calculator for Rate of Increase of Radial Acceleration, enter Vehicle Velocity (V_v), Minimum Length of Spiral (L) & Radius of Curve for Road (R_t) and hit the calculate button. Here is how the Rate of Increase of Radial Acceleration calculation can be explained with given input values -> 1.444452 = (3.15*(11.3888888888889)^3)/ (361.83*300).

FAQ

What is Rate of Increase of Radial Acceleration?

The Rate of Increase of Radial Acceleration given formula is defined as an empirical value indicative of the comfort and safety involved and is represented as a_c = (3.15*(V_v)^3)/ (L*R_t) or Rate of Increase of Radial Acceleration = (3.15*(Vehicle Velocity)^3)/ (Minimum Length of Spiral*Radius of Curve for Road). Vehicle Velocity can be described as the amount of distance vehicle travelled in a perticular time, Minimum Length of Spiral can be described as a horizontal circular curve, a vehicle and its contents are immediately subjected to centrifugal forces & Radius of Curve for Road can be defined as the radius at which the spiral is joined.

How to calculate Rate of Increase of Radial Acceleration?

The Rate of Increase of Radial Acceleration given formula is defined as an empirical value indicative of the comfort and safety involved is calculated using Rate of Increase of Radial Acceleration = (3.15*(Vehicle Velocity)^3)/ (Minimum Length of Spiral*Radius of Curve for Road). To calculate Rate of Increase of Radial Acceleration, you need Vehicle Velocity (V_v), Minimum Length of Spiral (L) & Radius of Curve for Road (R_t). With our tool, you need to enter the respective value for Vehicle Velocity, Minimum Length of Spiral & Radius of Curve for Road and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search