Vehicle Velocity given Minimum Length of Spiral Calculator

✖Minimum Length of Spiral can be described as a horizontal circular curve, a vehicle and its contents are immediately subjected to centrifugal forces.ⓘ Minimum Length of Spiral [L]			+10% -10%
✖Radius of Curve for Road can be defined as the radius at which the spiral is joined.ⓘ Radius of Curve for Road [R_t]			+10% -10%
✖Rate of Increase of Radial Acceleration can be defined as an empirical value indicative of the comfort and safety involved.ⓘ Rate of Increase of Radial Acceleration [a_c]			+10% -10%

✖Vehicle Velocity can be described as the amount of distance vehicle travelled in a perticular 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"} = (("L"*"R"_{"t"}*"a"_{"c"})/3.15)^(1/3)`

Example

`"40.9998km/h"=(("361.83m"*"300m"*"2")/3.15)^(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 for Road*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) - 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.
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.
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

Minimum Length of Spiral: 361.83 Meter --> 361.83 Meter No Conversion Required
Radius of Curve for Road: 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 00.004 seconds)

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Created by M Naveen

National Institute of Technology (NIT), Warangal

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NSS College of Engineering (NSSCE), Palakkad

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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 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)

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)

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)

Vehicle Velocity given Minimum Length of Spiral Formula

Vehicle Velocity = ((Minimum Length of Spiral*Radius of Curve for Road*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 for Road*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 for Road (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 for Road*Rate of Increase of Radial Acceleration)/3.15)^(1/3). Minimum Length of Spiral can be described as a horizontal circular curve, a vehicle and its contents are immediately subjected to centrifugal forces, Radius of Curve for Road can be defined as the radius at which the spiral is joined & Rate of Increase of Radial Acceleration can be defined as an empirical value indicative of the comfort and safety involved.

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 for Road*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 for Road (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 for Road & 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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