Minimum Length of Spiral Calculator

✖The Vehicle Velocity is referred as amount of distance vehicle travelled in a particular time.ⓘ Vehicle Velocity [V_v]			+10% -10%
✖The Radius of Curve is defined as the horizontal curve with a specific radius which quantifies smoothness and ease of vehicle movement through a curve.ⓘ Radius of Curve [R_t]			+10% -10%
✖The Rate of Increase of Radial Acceleration is referred as gradual increase in acceleration experienced by an object moving in a circular path.ⓘ Rate of Increase of Radial Acceleration [a_c]			+10% -10%

✖The Minimum Length of Spiral is defined as a horizontal circular curve, a vehicle and its contents are immediately subjected to centrifugal forces.ⓘ Minimum Length of Spiral [L]

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Formula

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Minimum Length of Spiral

Formula

L = \frac{3.15 \cdot ({V v}^{3})}{R t \cdot a c}

Example

361.8352 m = \frac{3.15 \cdot ({41 km/h}^{3})}{300 m \cdot 2}

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Minimum Length of Spiral Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Minimum Length of Spiral - (Measured in Meter) - The Minimum Length of Spiral is defined as a horizontal circular curve, a vehicle and its contents are immediately subjected to centrifugal forces.
Vehicle Velocity - (Measured in Kilometer per Hour) - The Vehicle Velocity is referred as amount of distance vehicle travelled in a particular time.
Radius of Curve - (Measured in Meter) - The Radius of Curve is defined as the horizontal curve with a specific radius which quantifies smoothness and ease of vehicle movement through a curve.
Rate of Increase of Radial Acceleration - The Rate of Increase of Radial Acceleration is referred as gradual increase in acceleration experienced by an object moving in a circular path.

STEP 1: Convert Input(s) to Base Unit

Vehicle Velocity: 41 Kilometer per Hour --> 41 Kilometer per Hour No Conversion Required
Radius of Curve: 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*(V_v^3))/(R_t*a_c) --> (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)

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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

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< Transition (Spiral) Curves Calculators

Vehicle Velocity given Minimum Length of Spiral

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

Radius of Circular Curve Minimum Length

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

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)

Minimum Length of Spiral

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

Minimum Length of Spiral Formula

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

What is Minimum Spiral Length?

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*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 (V_v), Radius of Curve (R_t) & Rate of Increase of Radial Acceleration (a_c) 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*(V_v^3))/(R_t*a_c) or Minimum Length of Spiral = (3.15*(Vehicle Velocity^3))/(Radius of Curve*Rate of Increase of Radial Acceleration). The Vehicle Velocity is referred as amount of distance vehicle travelled in a particular time, The Radius of Curve is defined as the horizontal curve with a specific radius which quantifies smoothness and ease of vehicle movement through a curve & The Rate of Increase of Radial Acceleration is referred as gradual increase in acceleration experienced by an object moving in a circular path.

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*Rate of Increase of Radial Acceleration). To calculate Minimum Length of Spiral, you need Vehicle Velocity (V_v), Radius of Curve (R_t) & Rate of Increase of Radial Acceleration (a_c). With our tool, you need to enter the respective value for Vehicle Velocity, Radius of Curve & 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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