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Minimum Length of Spiral Formula

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The Minimum Length of Spiral is defined as a horizontal circular curve, a vehicle and its contents are immediately subjected to centrifugal forces. Check FAQs

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

L - Minimum Length of Spiral?V_v - Vehicle Velocity?R_t - Radius of Curve?a_c - Rate of Increase of Radial Acceleration?

Minimum Length of Spiral Example

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Here is how the Minimum Length of Spiral equation looks like with Values.

Here is how the Minimum Length of Spiral equation looks like with Units.

Here is how the Minimum Length of Spiral equation looks like.

361.8352 = \frac{3.15 \cdot (41^{3})}{300 \cdot 2}

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

361.8352 = \frac{3.15 \cdot (41^{3})}{300 \cdot 2}

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Minimum Length of Spiral Solution

Follow our step by step solution on how to calculate Minimum Length of Spiral?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

L = \frac{3.15 \cdot (41^{3})}{300 \cdot 2}

Next Step Evaluate

∴

L = 361.83525m

LAST Step Rounding Answer

∴

L = 361.8352m

Minimum Length of Spiral Formula Elements

Variables

Minimum Length of Spiral

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

Symbol: L

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Minimum Length of Spiral

Vehicle Velocity

The Vehicle Velocity is referred as amount of distance vehicle travelled in a particular time.

Symbol: V_v

Measurement: SpeedUnit: km/h

Note: Value should be greater than 0.

Formulas to find Vehicle Velocity

Radius of Curve

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.

Symbol: R_t

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of 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.

Symbol: a_c

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Rate of Increase of Radial Acceleration

Other formulas in Transition (Spiral) Curves category

Go Vehicle Velocity given Minimum Length of Spiral

V v = {(\frac{L \cdot R t \cdot a c}{3.15})}^{\frac{1}{3}}

Go Radius of Circular Curve Minimum Length

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

Go Rate of Increase of Radial Acceleration

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

How to Evaluate Minimum Length of Spiral?

Minimum Length of Spiral evaluator uses Minimum Length of Spiral = (3.15*(Vehicle Velocity^3))/(Radius of Curve*Rate of Increase of Radial Acceleration) to evaluate 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 evaluate Minimum Length of Spiral using this online evaluator? To use this online evaluator 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.

FAQs on Minimum Length of Spiral

What is the formula to find Minimum Length of Spiral?

The formula of Minimum Length of Spiral is expressed as Minimum Length of Spiral = (3.15*(Vehicle Velocity^3))/(Radius of Curve*Rate of Increase of Radial Acceleration). Here is an example- 361.8352 = (3.15*(11.3888888888889^3))/(300*2).

How to calculate Minimum Length of Spiral?

With Vehicle Velocity (V_v), Radius of Curve (R_t) & Rate of Increase of Radial Acceleration (a_c) we can find Minimum Length of Spiral using the formula - Minimum Length of Spiral = (3.15*(Vehicle Velocity^3))/(Radius of Curve*Rate of Increase of Radial Acceleration).

Can the Minimum Length of Spiral be negative?

No, the Minimum Length of Spiral, measured in Length cannot be negative.

Which unit is used to measure Minimum Length of Spiral?

Minimum Length of Spiral is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Minimum Length of Spiral can be measured.

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Minimum Length of Spiral Formula

Minimum Length of Spiral Example

Minimum Length of Spiral Solution

Minimum Length of Spiral Formula Elements

Other formulas in Transition (Spiral) Curves category

How to Evaluate Minimum Length of Spiral?

FAQs on Minimum Length of Spiral

Variable Name