Vehicle Velocity given Minimum Length of Spiral Calculator

✖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 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 Vehicle Velocity is referred as amount of distance vehicle travelled in a particular time.ⓘ Vehicle Velocity given Minimum Length of Spiral [V_v]

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Formula

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Vehicle Velocity given Minimum Length of Spiral

Formula

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

Example

40.9998 km/h = {(\frac{361.83 m \cdot 300 m \cdot 2}{3.15})}^{\frac{1}{3}}

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Vehicle Velocity given Minimum Length of Spiral Solution

STEP 0: Pre-Calculation Summary

Formula Used

Vehicle Velocity = ((Minimum Length of Spiral*Radius of Curve*Rate of Increase of Radial Acceleration)/3.15)^(1/3)
V_v = ((L*R_t*a_c)/3.15)^(1/3)
This formula uses 4 Variables

Variables Used

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.
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

Minimum Length of Spiral: 361.83 Meter --> 361.83 Meter 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

V_v = ((L*R_t*a_c)/3.15)^(1/3) --> ((361.83*300*2)/3.15)^(1/3)

Evaluating ... ...

V_v = 40.9998017043751

STEP 3: Convert Result to Output's Unit

11.3888338067709 Meter per Second -->40.9998017043751 Kilometer per Hour (Check conversion here)

FINAL ANSWER

40.9998017043751 ≈ 40.9998 Kilometer per Hour <-- Vehicle Velocity

(Calculation completed in 00.020 seconds)

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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)

Vehicle Velocity given Minimum Length of Spiral Formula

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

How to calculate Vehicle velocity?

Vehicle velocity can be calculated by using above emperical formula on the basis of minimum length of spiral.

How to Calculate Vehicle Velocity given Minimum Length of Spiral?

Vehicle Velocity given Minimum Length of Spiral calculator uses Vehicle Velocity = ((Minimum Length of Spiral*Radius of Curve*Rate of Increase of Radial Acceleration)/3.15)^(1/3) to calculate the Vehicle Velocity, The Vehicle Velocity given Minimum Length of Spiral formula is defined as the amount of distance traveled by a vehicle in a particular time. Vehicle Velocity is denoted by V_v symbol.

How to calculate Vehicle Velocity given Minimum Length of Spiral using this online calculator? To use this online calculator for Vehicle Velocity given Minimum Length of Spiral, enter Minimum Length of Spiral (L), Radius of Curve (R_t) & Rate of Increase of Radial Acceleration (a_c) and hit the calculate button. Here is how the Vehicle Velocity given Minimum Length of Spiral calculation can be explained with given input values -> 164.5111 = ((361.83*300*2)/3.15)^(1/3).

FAQ

What is Vehicle Velocity given Minimum Length of Spiral?

The Vehicle Velocity given Minimum Length of Spiral formula is defined as the amount of distance traveled by a vehicle in a particular time and is represented as V_v = ((L*R_t*a_c)/3.15)^(1/3) or Vehicle Velocity = ((Minimum Length of Spiral*Radius of Curve*Rate of Increase of Radial Acceleration)/3.15)^(1/3). The Minimum Length of Spiral is defined as a horizontal circular curve, a vehicle and its contents are immediately subjected to centrifugal forces, 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 Vehicle Velocity given Minimum Length of Spiral?

The Vehicle Velocity given Minimum Length of Spiral formula is defined as the amount of distance traveled by a vehicle in a particular time is calculated using Vehicle Velocity = ((Minimum Length of Spiral*Radius of Curve*Rate of Increase of Radial Acceleration)/3.15)^(1/3). To calculate Vehicle Velocity given Minimum Length of Spiral, you need Minimum Length of Spiral (L), Radius of Curve (R_t) & Rate of Increase of Radial Acceleration (a_c). With our tool, you need to enter the respective value for Minimum Length of Spiral, 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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