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Radius of Circular Curve Minimum Length Formula

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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. Check FAQs

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

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

Radius of Circular Curve Minimum Length Example

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Here is how the Radius of Circular Curve Minimum Length equation looks like with Values.

Here is how the Radius of Circular Curve Minimum Length equation looks like with Units.

Here is how the Radius of Circular Curve Minimum Length equation looks like.

300.0044 = \frac{3.15 \cdot (41^{3})}{361.83 \cdot 2}

300.0044m = \frac{3.15 \cdot ({41km/h}^{3})}{361.83m \cdot 2}

300.0044 = \frac{3.15 \cdot (41^{3})}{361.83 \cdot 2}

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Radius of Circular Curve Minimum Length Solution

Follow our step by step solution on how to calculate Radius of Circular Curve Minimum Length?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R t = \frac{3.15 \cdot ({41km/h}^{3})}{361.83m \cdot 2}

Next Step Prepare to Evaluate

∴

R t = \frac{3.15 \cdot (41^{3})}{361.83 \cdot 2}

Next Step Evaluate

∴

R t = 300.004352872896m

LAST Step Rounding Answer

∴

R t = 300.0044m

Radius of Circular Curve Minimum Length Formula Elements

Variables

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

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

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

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 Minimum Length of Spiral

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

Go Vehicle Velocity given Minimum Length of Spiral

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

Go Rate of Increase of Radial Acceleration

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

How to Evaluate Radius of Circular Curve Minimum Length?

Radius of Circular Curve Minimum Length evaluator uses Radius of Curve = (3.15*(Vehicle Velocity^3))/(Minimum Length of Spiral*Rate of Increase of Radial Acceleration) to evaluate the Radius of Curve, The Radius of Circular Curve Minimum Length formula is defined as the radius of a circular curve at which in a point of spiral. Radius of Curve is denoted by R_t symbol.

How to evaluate Radius of Circular Curve Minimum Length using this online evaluator? To use this online evaluator for Radius of Circular Curve Minimum Length, enter Vehicle Velocity (V_v), Minimum Length of Spiral (L) & Rate of Increase of Radial Acceleration (a_c) and hit the calculate button.

FAQs on Radius of Circular Curve Minimum Length

What is the formula to find Radius of Circular Curve Minimum Length?

The formula of Radius of Circular Curve Minimum Length is expressed as Radius of Curve = (3.15*(Vehicle Velocity^3))/(Minimum Length of Spiral*Rate of Increase of Radial Acceleration). Here is an example- 216.6678 = (3.15*(11.3888888888889^3))/(361.83*2).

How to calculate Radius of Circular Curve Minimum Length?

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

Can the Radius of Circular Curve Minimum Length be negative?

No, the Radius of Circular Curve Minimum Length, measured in Length cannot be negative.

Which unit is used to measure Radius of Circular Curve Minimum Length?

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

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Radius of Circular Curve Minimum Length Formula

Radius of Circular Curve Minimum Length Example

Radius of Circular Curve Minimum Length Solution

Radius of Circular Curve Minimum Length Formula Elements

Other formulas in Transition (Spiral) Curves category

How to Evaluate Radius of Circular Curve Minimum Length?

FAQs on Radius of Circular Curve Minimum Length

Variable Name