Minimum Length of Spiral Solution

STEP 0: Pre-Calculation Summary
Formula Used
Minimum Length of Spiral = (3.15*(Vehicle Velocity^3))/(Radius of Curve for Road*Rate of Increase of Radial Acceleration)
L = (3.15*(Vv^3))/(Rt*ac)
This formula uses 4 Variables
Variables Used
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.
Vehicle Velocity - (Measured in Kilometer per Hour) - Vehicle Velocity can be described as the amount of distance vehicle travelled in a perticular time.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Vehicle Velocity: 41 Kilometer per Hour --> 41 Kilometer per Hour No Conversion Required
Radius of Curve for Road: 300 Meter --> 300 Meter No Conversion Required
Rate of Increase of Radial Acceleration: 2 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
L = (3.15*(Vv^3))/(Rt*ac) --> (3.15*(41^3))/(300*2)
Evaluating ... ...
L = 361.83525
STEP 3: Convert Result to Output's Unit
361.83525 Meter --> No Conversion Required
FINAL ANSWER
361.83525 361.8352 Meter <-- Minimum Length of Spiral
(Calculation completed in 00.004 seconds)

Credits

Created by M Naveen
National Institute of Technology (NIT), Warangal
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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)

Minimum Length of Spiral Formula

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

what is minimum spiral length?

What is minimum spiral length is defined as the minimum circular curve length required to avoid the sudden impact of centrifugal force.

How to Calculate Minimum Length of Spiral?

Minimum Length of Spiral calculator uses Minimum Length of Spiral = (3.15*(Vehicle Velocity^3))/(Radius of Curve for Road*Rate of Increase of Radial Acceleration) to calculate the Minimum Length of Spiral, The Minimum Length of Spiral formula is defined as a three-dimensional curve that turns around an axis at a constant or continuously varying distance while moving parallel to the axis. Minimum Length of Spiral is denoted by L symbol.

How to calculate Minimum Length of Spiral using this online calculator? To use this online calculator for Minimum Length of Spiral, enter Vehicle Velocity (Vv), Radius of Curve for Road (Rt) & Rate of Increase of Radial Acceleration (ac) and hit the calculate button. Here is how the Minimum Length of Spiral calculation can be explained with given input values -> 361.8352 = (3.15*(11.3888888888889^3))/(300*2).

FAQ

What is Minimum Length of Spiral?
The Minimum Length of Spiral formula is defined as a three-dimensional curve that turns around an axis at a constant or continuously varying distance while moving parallel to the axis and is represented as L = (3.15*(Vv^3))/(Rt*ac) or Minimum Length of Spiral = (3.15*(Vehicle Velocity^3))/(Radius of Curve for Road*Rate of Increase of Radial Acceleration). Vehicle Velocity can be described as the amount of distance vehicle travelled in a perticular time, Radius of Curve for Road can be defined as the radius at which the spiral is joined & Rate of Increase of Radial Acceleration can be defined as an empirical value indicative of the comfort and safety involved.
How to calculate Minimum Length of Spiral?
The Minimum Length of Spiral formula is defined as a three-dimensional curve that turns around an axis at a constant or continuously varying distance while moving parallel to the axis is calculated using Minimum Length of Spiral = (3.15*(Vehicle Velocity^3))/(Radius of Curve for Road*Rate of Increase of Radial Acceleration). To calculate Minimum Length of Spiral, you need Vehicle Velocity (Vv), Radius of Curve for Road (Rt) & Rate of Increase of Radial Acceleration (ac). With our tool, you need to enter the respective value for Vehicle Velocity, Radius of Curve for Road & Rate of Increase of Radial Acceleration 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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