Design Speed of Highway Calculator

✖Curve Radius is the radius of a circle whose part, say, arc is taken for consideration.ⓘ Curve Radius [R_Curve]			+10% -10%
✖The Acceleration due to Gravity is acceleration gained by an object because of gravitational force.ⓘ Acceleration due to Gravity [g]			+10% -10%

✖Design Speed on Highways is the maximum limit of speed of vehicle that can be arrived in highways.ⓘ Design Speed of Highway [V₁]

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Design Speed of Highway Solution

STEP 0: Pre-Calculation Summary

Formula Used

Design Speed on Highways = sqrt((Curve Radius*Acceleration due to Gravity)/4)
V₁ = sqrt((R_Curve*g)/4)
This formula uses 1 Functions, 3 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Design Speed on Highways - (Measured in Kilometer per Hour) - Design Speed on Highways is the maximum limit of speed of vehicle that can be arrived in highways.
Curve Radius - (Measured in Meter) - Curve Radius is the radius of a circle whose part, say, arc is taken for consideration.
Acceleration due to Gravity - (Measured in Meter per Square Second) - The Acceleration due to Gravity is acceleration gained by an object because of gravitational force.

STEP 1: Convert Input(s) to Base Unit

Curve Radius: 200 Meter --> 200 Meter No Conversion Required
Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V₁ = sqrt((R_Curve*g)/4) --> sqrt((200*9.8)/4)

Evaluating ... ...

V₁ = 22.1359436211787

STEP 3: Convert Result to Output's Unit

6.14887322810518 Meter per Second -->22.1359436211787 Kilometer per Hour (Check conversion here)

FINAL ANSWER

22.1359436211787 ≈ 22.13594 Kilometer per Hour <-- Design Speed on Highways

(Calculation completed in 00.004 seconds)

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Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has created this Calculator and 500+ more calculators!

Verified by M Naveen

National Institute of Technology (NIT), Warangal

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< Centrifugal Ratio Calculators

Speed of Vehicle given Centrifugal Force

LaTeX Go Vehicle Velocity = sqrt(Centrifugal Force*Acceleration due to Gravity*Curve Radius/Weight of Vehicle)

Radius of Curve given Centrifugal Force

LaTeX Go Curve Radius = (Weight of Vehicle*Vehicle Velocity^2)/(Acceleration due to Gravity*Centrifugal Force)

Centrifugal Force Acting on Vehicle

LaTeX Go Centrifugal Force = (Weight of Vehicle*Vehicle Velocity^2)/(Acceleration due to Gravity*Curve Radius)

Centrifugal Ratio

LaTeX Go Centrifugal Ratio = Vehicle Velocity^2/(Curve Radius*Acceleration due to Gravity)

Design Speed of Highway Formula

LaTeX Go

Design Speed on Highways = sqrt((Curve Radius*Acceleration due to Gravity)/4)
V₁ = sqrt((R_Curve*g)/4)

What is a Transition Curve?

For high-speed traffics over alignment on which the curves are circular arcs, an abrupt change from a straight path to a circular path is required at the point of curvature. It is obviously impossible to make this change instantaneously. A curve of varying radius and varying curvature, introduced between the tangent length and a circular curve or between two branches of a compound curve, or a reverse curve to provide such a transition is known as a transition or an easement curve.

What are the Advantages of Transition Curve?

1. It allows a gradual transition of curvature from the tangent to the circular curve or from the circular curve to the tangent.
2. The radius of curvature increases or decreases gradually.
3. It is provided for the gradual change in super elevation in a convenient manner.
4. It eliminates the danger of derailment, overturning or side slipping of vehicles, and discomfort to passengers.

How to Calculate Design Speed of Highway?

Design Speed of Highway calculator uses Design Speed on Highways = sqrt((Curve Radius*Acceleration due to Gravity)/4) to calculate the Design Speed on Highways, The Design Speed of Highway formula is defined as the geometric factor which is used for the highway design. It is defined as the highest continuous speed at which individual vehicles can travel safely on the highway when weather conditions are conducive. Design Speed on Highways is denoted by V₁ symbol.

How to calculate Design Speed of Highway using this online calculator? To use this online calculator for Design Speed of Highway, enter Curve Radius (R_Curve) & Acceleration due to Gravity (g) and hit the calculate button. Here is how the Design Speed of Highway calculation can be explained with given input values -> 79.6894 = sqrt((200*9.8)/4).

FAQ

What is Design Speed of Highway?

The Design Speed of Highway formula is defined as the geometric factor which is used for the highway design. It is defined as the highest continuous speed at which individual vehicles can travel safely on the highway when weather conditions are conducive and is represented as V₁ = sqrt((R_Curve*g)/4) or Design Speed on Highways = sqrt((Curve Radius*Acceleration due to Gravity)/4). Curve Radius is the radius of a circle whose part, say, arc is taken for consideration & The Acceleration due to Gravity is acceleration gained by an object because of gravitational force.

How to calculate Design Speed of Highway?

The Design Speed of Highway formula is defined as the geometric factor which is used for the highway design. It is defined as the highest continuous speed at which individual vehicles can travel safely on the highway when weather conditions are conducive is calculated using Design Speed on Highways = sqrt((Curve Radius*Acceleration due to Gravity)/4). To calculate Design Speed of Highway, you need Curve Radius (R_Curve) & Acceleration due to Gravity (g). With our tool, you need to enter the respective value for Curve Radius & Acceleration due to Gravity 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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