Speed of Vehicle given Centrifugal Force Calculator

✖Centrifugal Force is the apparent outward force on a mass when it is rotated.ⓘ Centrifugal Force [F_c]			+10% -10%
✖The Acceleration due to Gravity is acceleration gained by an object because of gravitational force.ⓘ Acceleration due to Gravity [g]			+10% -10%
✖Curve Radius is the radius of a circle whose part, say, arc is taken for consideration.ⓘ Curve Radius [R_Curve]			+10% -10%
✖Weight of vehicle is the total safe weight of the vehicle which passes through the centre of gravity.ⓘ Weight of Vehicle [W]			+10% -10%

✖Vehicle Velocity can be described as the amount of distance vehicle travelled in a perticular time.ⓘ Speed of Vehicle given Centrifugal Force [V]

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Formula

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Speed of Vehicle given Centrifugal Force

Formula

`"V" = sqrt("F"_{"c"}*"g"*"R"_{"Curve"}/"W")`

Example

`"79.14742km/h"=sqrt("163N"*"9.8m/s²"*"200m"/"51kg")`

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Speed of Vehicle given Centrifugal Force Solution

STEP 0: Pre-Calculation Summary

Formula Used

Vehicle Velocity = sqrt(Centrifugal Force*Acceleration due to Gravity*Curve Radius/Weight of Vehicle)
V = sqrt(F_c*g*R_Curve/W)
This formula uses 1 Functions, 5 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

Vehicle Velocity - (Measured in Kilometer per Hour) - Vehicle Velocity can be described as the amount of distance vehicle travelled in a perticular time.
Centrifugal Force - (Measured in Newton) - Centrifugal Force is the apparent outward force on a mass when it is rotated.
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.
Curve Radius - (Measured in Meter) - Curve Radius is the radius of a circle whose part, say, arc is taken for consideration.
Weight of Vehicle - (Measured in Kilogram) - Weight of vehicle is the total safe weight of the vehicle which passes through the centre of gravity.

STEP 1: Convert Input(s) to Base Unit

Centrifugal Force: 163 Newton --> 163 Newton No Conversion Required
Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Curve Radius: 200 Meter --> 200 Meter No Conversion Required
Weight of Vehicle: 51 Kilogram --> 51 Kilogram No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = sqrt(F_c*g*R_Curve/W) --> sqrt(163*9.8*200/51)

Evaluating ... ...

V = 79.1474176804916

STEP 3: Convert Result to Output's Unit

21.9853938001366 Meter per Second -->79.1474176804916 Kilometer per Hour (Check conversion here)

FINAL ANSWER

79.1474176804916 ≈ 79.14742 Kilometer per Hour <-- Vehicle Velocity

(Calculation completed in 00.004 seconds)

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Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

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National Institute of Technology (NIT), Warangal

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< 6 Centrifugal Ratio Calculators

Speed of Vehicle given Centrifugal Force

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

Radius of Curve given Centrifugal Force

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

Centrifugal Force Acting on Vehicle

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

Centrifugal Ratio

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

Design Speed of Highway

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

Design Speed of Railway

Go Design Speed on Railways = sqrt(Curve Radius*Acceleration due to Gravity/8)

Speed of Vehicle given Centrifugal Force Formula

Vehicle Velocity = sqrt(Centrifugal Force*Acceleration due to Gravity*Curve Radius/Weight of Vehicle)
V = sqrt(F_c*g*R_Curve/W)

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 Speed of Vehicle given Centrifugal Force?

Speed of Vehicle given Centrifugal Force calculator uses Vehicle Velocity = sqrt(Centrifugal Force*Acceleration due to Gravity*Curve Radius/Weight of Vehicle) to calculate the Vehicle Velocity, The Speed of Vehicle given Centrifugal Force formula is defined as the velocity or speed of the vehicle when travelling through a transition curve. It relates parameters, centrifugal force, the radius of the curve, the weight of the vehicle and acceleration due to gravity. Vehicle Velocity is denoted by V symbol.

How to calculate Speed of Vehicle given Centrifugal Force using this online calculator? To use this online calculator for Speed of Vehicle given Centrifugal Force, enter Centrifugal Force (F_c), Acceleration due to Gravity (g), Curve Radius (R_Curve) & Weight of Vehicle (W) and hit the calculate button. Here is how the Speed of Vehicle given Centrifugal Force calculation can be explained with given input values -> 284.9307 = sqrt(163*9.8*200/51).

FAQ

What is Speed of Vehicle given Centrifugal Force?

The Speed of Vehicle given Centrifugal Force formula is defined as the velocity or speed of the vehicle when travelling through a transition curve. It relates parameters, centrifugal force, the radius of the curve, the weight of the vehicle and acceleration due to gravity and is represented as V = sqrt(F_c*g*R_Curve/W) or Vehicle Velocity = sqrt(Centrifugal Force*Acceleration due to Gravity*Curve Radius/Weight of Vehicle). Centrifugal Force is the apparent outward force on a mass when it is rotated, The Acceleration due to Gravity is acceleration gained by an object because of gravitational force, Curve Radius is the radius of a circle whose part, say, arc is taken for consideration & Weight of vehicle is the total safe weight of the vehicle which passes through the centre of gravity.

How to calculate Speed of Vehicle given Centrifugal Force?

The Speed of Vehicle given Centrifugal Force formula is defined as the velocity or speed of the vehicle when travelling through a transition curve. It relates parameters, centrifugal force, the radius of the curve, the weight of the vehicle and acceleration due to gravity is calculated using Vehicle Velocity = sqrt(Centrifugal Force*Acceleration due to Gravity*Curve Radius/Weight of Vehicle). To calculate Speed of Vehicle given Centrifugal Force, you need Centrifugal Force (F_c), Acceleration due to Gravity (g), Curve Radius (R_Curve) & Weight of Vehicle (W). With our tool, you need to enter the respective value for Centrifugal Force, Acceleration due to Gravity, Curve Radius & Weight of Vehicle 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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