✖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 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]

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Formula

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Rate of Increase of Radial Acceleration

Formula

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

Example

`"2.000029"=(3.15*("41km/h")^3)/("361.83m"*"300m")`

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Rate of Increase of Radial Acceleration Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.

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
Radius of Curve: 300 Meter --> 300 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a_c = (3.15*(V_v)^3)/(L*R_t) --> (3.15*(41)^3)/(361.83*300)

Evaluating ... ...

a_c = 2.00002901915264

STEP 3: Convert Result to Output's Unit

2.00002901915264 --> No Conversion Required

FINAL ANSWER

2.00002901915264 ≈ 2.000029 <-- Rate of Increase of Radial Acceleration

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Transportation Engineering » Highway Engineering » Highway and Road » Parabolic and Transition Curves » Transition (Spiral) Curves » Rate of Increase of Radial Acceleration

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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)

Rate of Increase of Radial Acceleration Formula

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

What is empirical value of Rate of increase of radial acceleration?

Rate of increase of radial acceleration values are often used for highways range from 1 to 3, for railroads the empirical value used as unity(1).

How to Calculate Rate of Increase of Radial Acceleration?

Rate of Increase of Radial Acceleration calculator uses Rate of Increase of Radial Acceleration = (3.15*(Vehicle Velocity)^3)/(Minimum Length of Spiral*Radius of Curve) to calculate the Rate of Increase of Radial Acceleration, The Rate of Increase of Radial Acceleration given formula is defined as an empirical value indicative of the comfort and safety involved. Rate of Increase of Radial Acceleration is denoted by a_c symbol.

How to calculate Rate of Increase of Radial Acceleration using this online calculator? To use this online calculator for Rate of Increase of Radial Acceleration, enter Vehicle Velocity (V_v), Minimum Length of Spiral (L) & Radius of Curve (R_t) and hit the calculate button. Here is how the Rate of Increase of Radial Acceleration calculation can be explained with given input values -> 1.444452 = (3.15*(11.3888888888889)^3)/(361.83*300).

FAQ

What is Rate of Increase of Radial Acceleration?

The Rate of Increase of Radial Acceleration given formula is defined as an empirical value indicative of the comfort and safety involved and is represented as a_c = (3.15*(V_v)^3)/(L*R_t) or Rate of Increase of Radial Acceleration = (3.15*(Vehicle Velocity)^3)/(Minimum Length of Spiral*Radius of Curve). 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 Radius of Curve is defined as the horizontal curve with a specific radius which quantifies smoothness and ease of vehicle movement through a curve.

How to calculate Rate of Increase of Radial Acceleration?

The Rate of Increase of Radial Acceleration given formula is defined as an empirical value indicative of the comfort and safety involved is calculated using Rate of Increase of Radial Acceleration = (3.15*(Vehicle Velocity)^3)/(Minimum Length of Spiral*Radius of Curve). To calculate Rate of Increase of Radial Acceleration, you need Vehicle Velocity (V_v), Minimum Length of Spiral (L) & Radius of Curve (R_t). With our tool, you need to enter the respective value for Vehicle Velocity, Minimum Length of Spiral & Radius of Curve 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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