Radius of Circular Curve Minimum Length Solution

STEP 0: Pre-Calculation Summary
Formula Used
Radius of Curve for Road = (3.15*(Vehicle Velocity^3))/(Minimum Length of Spiral*Rate of Increase of Radial Acceleration)
Rt = (3.15*(Vv^3))/(L*ac)
This formula uses 4 Variables
Variables Used
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.
Vehicle Velocity - (Measured in Kilometer per Hour) - Vehicle Velocity can be described as the amount of distance vehicle travelled in a perticular time.
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.
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
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
Rt = (3.15*(Vv^3))/(L*ac) --> (3.15*(41^3))/(361.83*2)
Evaluating ... ...
Rt = 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 for Road
(Calculation completed in 00.004 seconds)

Credits

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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)

Radius of Circular Curve Minimum Length Formula

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

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 for Road = (3.15*(Vehicle Velocity^3))/(Minimum Length of Spiral*Rate of Increase of Radial Acceleration) to calculate the Radius of Curve for Road, 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 for Road is denoted by Rt 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 (Vv), Minimum Length of Spiral (L) & Rate of Increase of Radial Acceleration (ac) 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 Rt = (3.15*(Vv^3))/(L*ac) or Radius of Curve for Road = (3.15*(Vehicle Velocity^3))/(Minimum Length of Spiral*Rate of Increase of Radial Acceleration). Vehicle Velocity can be described as the amount of distance vehicle travelled in a perticular time, Minimum Length of Spiral can be described as a horizontal circular curve, a vehicle and its contents are immediately subjected to centrifugal forces & Rate of Increase of Radial Acceleration can be defined as an empirical value indicative of the comfort and safety involved.
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 for Road = (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 (Vv), Minimum Length of Spiral (L) & Rate of Increase of Radial Acceleration (ac). 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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