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Velocity of Vehicle when General Equation of Super-elevation on Road is Given Solution

STEP 0: Pre-Calculation Summary
Formula Used
velocity = sqrt((Superelevation+Coefficient of Friction)*([g]*Radius))
v = sqrt((S+μ)*([g]*r))
This formula uses 1 Constants, 1 Functions, 3 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665 Meter/Second²
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Superelevation - Superelevation is the amount of raise of outer edge with respect to the inner edge of the road surface. In case of railways the amount by which the outer rail is raised is known as superelevation. (Measured in Meter)
Coefficient of Friction- The Coefficient of Friction (μ) is the ratio defining the force that resists the motion of one body in relation to another body in contact with it. This ratio is dependent on material properties and most materials have a value between 0 and 1.
Radius - Radius is a radial line from the focus to any point of a curve. (Measured in Centimeter)
STEP 1: Convert Input(s) to Base Unit
Superelevation: 3 Meter --> 3 Meter No Conversion Required
Coefficient of Friction: 0.2 --> No Conversion Required
Radius: 18 Centimeter --> 0.18 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
v = sqrt((S+μ)*([g]*r)) --> sqrt((3+0.2)*([g]*0.18))
Evaluating ... ...
v = 2.37668474981433
STEP 3: Convert Result to Output's Unit
2.37668474981433 Meter per Second --> No Conversion Required
FINAL ANSWER
2.37668474981433 Meter per Second <-- Velocity
(Calculation completed in 00.018 seconds)

10+ Horizontal Curves Calculators

Velocity of Vehicle when Centrifugal Force on vehicle on road without super elevation is Given
velocity = sqrt((Centrifugal force*([g]*Radius))/Weight) Go
Centrifugal Force on a vehicle moving on road without superelevation
centrifugal_force = (Weight of vehicle*(Vehicle velocity^2))/([g]*Radius) Go
Weight of Vehicle when Centrifugal Force on vehicle on road without super elevation is Given
weight_in_kgs = Centrifugal force/((Velocity^2))/([g]*Radius) Go
Radius of Curve when Centrifugal Force on vehicle on road without super elevation is Given
radius = (Weight*(Velocity^2))/([g]*Centrifugal force) Go
Velocity of vehicle when Impact Factor on road without super elevation is Given
velocity = sqrt(Impact factor*([g]*Radius)) Go
Impact Factor on road without super elevation
impact_factor = (Vehicle velocity^2)/([g]*Radius) Go
Radius of Curve when Impact Factor on road without super elevation is Given
radius = (Velocity^2)/([g]*Impact factor) Go
Weight of Vehicle when Centrifugal Ratio on road without super elevation is Given
weight_in_kgs = Centrifugal force/Centrifugal ratio Go
Centrifugal Force when Centrifugal Ratio on road without super elevation is Given
centrifugal_force = (Centrifugal ratio*Weight) Go
Centrifugal Ratio on road without super elevation
centrifugal_ratio = Centrifugal force/Weight Go

Velocity of Vehicle when General Equation of Super-elevation on Road is Given Formula

velocity = sqrt((Superelevation+Coefficient of Friction)*([g]*Radius))
v = sqrt((S+μ)*([g]*r))

What is super elevation ?

Super elevation on the horizontal curve is one of the most important features in the construction of the roads. It is very essential to provide super elevation in roads for the safe movement of vehicles on the curved portion of the roads.

How to Calculate Velocity of Vehicle when General Equation of Super-elevation on Road is Given?

Velocity of Vehicle when General Equation of Super-elevation on Road is Given calculator uses velocity = sqrt((Superelevation+Coefficient of Friction)*([g]*Radius)) to calculate the Velocity, The Velocity of Vehicle when General Equation of Super-elevation on Road is Given formula is defined as the speed of vehicle at which it moves on road. Velocity and is denoted by v symbol.

How to calculate Velocity of Vehicle when General Equation of Super-elevation on Road is Given using this online calculator? To use this online calculator for Velocity of Vehicle when General Equation of Super-elevation on Road is Given, enter Superelevation (S), Coefficient of Friction (μ) and Radius (r) and hit the calculate button. Here is how the Velocity of Vehicle when General Equation of Super-elevation on Road is Given calculation can be explained with given input values -> 2.376685 = sqrt((3+0.2)*([g]*0.18)).

FAQ

What is Velocity of Vehicle when General Equation of Super-elevation on Road is Given?
The Velocity of Vehicle when General Equation of Super-elevation on Road is Given formula is defined as the speed of vehicle at which it moves on road and is represented as v = sqrt((S+μ)*([g]*r)) or velocity = sqrt((Superelevation+Coefficient of Friction)*([g]*Radius)). Superelevation is the amount of raise of outer edge with respect to the inner edge of the road surface. In case of railways the amount by which the outer rail is raised is known as superelevation, The Coefficient of Friction (μ) is the ratio defining the force that resists the motion of one body in relation to another body in contact with it. This ratio is dependent on material properties and most materials have a value between 0 and 1. and Radius is a radial line from the focus to any point of a curve.
How to calculate Velocity of Vehicle when General Equation of Super-elevation on Road is Given?
The Velocity of Vehicle when General Equation of Super-elevation on Road is Given formula is defined as the speed of vehicle at which it moves on road is calculated using velocity = sqrt((Superelevation+Coefficient of Friction)*([g]*Radius)). To calculate Velocity of Vehicle when General Equation of Super-elevation on Road is Given, you need Superelevation (S), Coefficient of Friction (μ) and Radius (r). With our tool, you need to enter the respective value for Superelevation, Coefficient of Friction and Radius and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Velocity?
In this formula, Velocity uses Superelevation, Coefficient of Friction and Radius. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • centrifugal_force = (Weight of vehicle*(Vehicle velocity^2))/([g]*Radius)
  • weight_in_kgs = Centrifugal force/((Velocity^2))/([g]*Radius)
  • velocity = sqrt((Centrifugal force*([g]*Radius))/Weight)
  • radius = (Weight*(Velocity^2))/([g]*Centrifugal force)
  • centrifugal_ratio = Centrifugal force/Weight
  • centrifugal_force = (Centrifugal ratio*Weight)
  • weight_in_kgs = Centrifugal force/Centrifugal ratio
  • impact_factor = (Vehicle velocity^2)/([g]*Radius)
  • velocity = sqrt(Impact factor*([g]*Radius))
  • radius = (Velocity^2)/([g]*Impact factor)
Where is the Velocity of Vehicle when General Equation of Super-elevation on Road is Given calculator used?
Among many, Velocity of Vehicle when General Equation of Super-elevation on Road is Given calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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