✖The Vehicle Velocity is referred as amount of distance vehicle travelled in a particular time.ⓘ Vehicle Velocity [V_v]			+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]			+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 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 Circular Curve Minimum Length [R_t]

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Formula

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Radius of Circular Curve Minimum Length

Formula

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

Example

`"300.0044m"=(3.15*(("41km/h")^3))/("361.83m"*"2")`

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Radius of Circular Curve Minimum Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
Vehicle Velocity - (Measured in Kilometer per Hour) - The Vehicle Velocity is referred as amount of distance vehicle travelled in a particular time.
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.
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
Minimum Length of Spiral: 361.83 Meter --> 361.83 Meter No Conversion Required
Rate of Increase of Radial Acceleration: 2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_t = (3.15*(V_v^3))/(L*a_c) --> (3.15*(41^3))/(361.83*2)

Evaluating ... ...

R_t = 300.004352872896

STEP 3: Convert Result to Output's Unit

300.004352872896 Meter --> No Conversion Required

FINAL ANSWER

300.004352872896 ≈ 300.0044 Meter <-- Radius of Curve

(Calculation completed in 00.006 seconds)

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< 4 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)

Radius of Circular Curve Minimum Length Formula

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

How to calculate Radius of the circular curve?

Radius of a circular curve can be calculated based on the centrifugal force acting on the vehicle and can be calculated by using the emphirical formula mentioned above.

How to Calculate Radius of Circular Curve Minimum Length?

Radius of Circular Curve Minimum Length calculator uses Radius of Curve = (3.15*(Vehicle Velocity^3))/(Minimum Length of Spiral*Rate of Increase of Radial Acceleration) to calculate 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 calculate Radius of Circular Curve Minimum Length using this online calculator? To use this online calculator 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. Here is how the Radius of Circular Curve Minimum Length calculation can be explained with given input values -> 216.6678 = (3.15*(11.3888888888889^3))/(361.83*2).

FAQ

What is Radius of Circular Curve Minimum Length?

The Radius of Circular Curve Minimum Length formula is defined as the radius of a circular curve at which in a point of spiral and is represented as R_t = (3.15*(V_v^3))/(L*a_c) or Radius of Curve = (3.15*(Vehicle Velocity^3))/(Minimum Length of Spiral*Rate of Increase of Radial Acceleration). The Vehicle Velocity is referred as amount of distance vehicle travelled in a particular time, The Minimum Length of Spiral is defined as a horizontal circular curve, a vehicle and its contents are immediately subjected to centrifugal forces & 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 Radius of Circular Curve Minimum Length?

The Radius of Circular Curve Minimum Length formula is defined as the radius of a circular curve at which in a point of spiral is calculated using Radius of Curve = (3.15*(Vehicle Velocity^3))/(Minimum Length of Spiral*Rate of Increase of Radial Acceleration). To calculate Radius of Circular Curve Minimum Length, you need Vehicle Velocity (V_v), Minimum Length of Spiral (L) & Rate of Increase of Radial Acceleration (a_c). With our tool, you need to enter the respective value for Vehicle Velocity, Minimum Length of Spiral & 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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