Centrifugal Ratio Calculator

✖Vehicle Velocity can be described as the amount of distance vehicle travelled in a perticular time.ⓘ Vehicle Velocity [V]			+10% -10%
✖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%

✖Centrifugal Ratio is defined as the ratio of centrifugal force to weight of vehicle.ⓘ Centrifugal Ratio [PW_ratio]

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Formula

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Centrifugal Ratio

Formula

`"PW"_{"ratio"} = "V"^2/("R"_{"Curve"}*"g")`

Example

`"3.265306"=("80km/h")^2/("200m"*"9.8m/s²")`

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Centrifugal Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Centrifugal Ratio = Vehicle Velocity^2/(Curve Radius*Acceleration due to Gravity)
PW_ratio = V^2/(R_Curve*g)
This formula uses 4 Variables

Variables Used

Centrifugal Ratio - Centrifugal Ratio is defined as the ratio of centrifugal force to weight of vehicle.
Vehicle Velocity - (Measured in Kilometer per Hour) - Vehicle Velocity can be described as the amount of distance vehicle travelled in a perticular time.
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

Vehicle Velocity: 80 Kilometer per Hour --> 80 Kilometer per Hour No Conversion Required
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

PW_ratio = V^2/(R_Curve*g) --> 80^2/(200*9.8)

Evaluating ... ...

PW_ratio = 3.26530612244898

STEP 3: Convert Result to Output's Unit

3.26530612244898 --> No Conversion Required

FINAL ANSWER

3.26530612244898 ≈ 3.265306 <-- Centrifugal Ratio

(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)

Centrifugal Ratio Formula

Centrifugal Ratio = Vehicle Velocity^2/(Curve Radius*Acceleration due to Gravity)
PW_ratio = V^2/(R_Curve*g)

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 Centrifugal Ratio?

Centrifugal Ratio calculator uses Centrifugal Ratio = Vehicle Velocity^2/(Curve Radius*Acceleration due to Gravity) to calculate the Centrifugal Ratio, The Centrifugal Ratio formula is defined as the ratio of centrifugal force to the weight of the vehicle. It relates the velocity of a vehicle to its weight and radius of the curve. Centrifugal Ratio is denoted by PW_ratio symbol.

How to calculate Centrifugal Ratio using this online calculator? To use this online calculator for Centrifugal Ratio, enter Vehicle Velocity (V), Curve Radius (R_Curve) & Acceleration due to Gravity (g) and hit the calculate button. Here is how the Centrifugal Ratio calculation can be explained with given input values -> 3.265306 = 22.2222222222222^2/(200*9.8).

FAQ

What is Centrifugal Ratio?

The Centrifugal Ratio formula is defined as the ratio of centrifugal force to the weight of the vehicle. It relates the velocity of a vehicle to its weight and radius of the curve and is represented as PW_ratio = V^2/(R_Curve*g) or Centrifugal Ratio = Vehicle Velocity^2/(Curve Radius*Acceleration due to Gravity). Vehicle Velocity can be described as the amount of distance vehicle travelled in a perticular time, 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 Centrifugal Ratio?

The Centrifugal Ratio formula is defined as the ratio of centrifugal force to the weight of the vehicle. It relates the velocity of a vehicle to its weight and radius of the curve is calculated using Centrifugal Ratio = Vehicle Velocity^2/(Curve Radius*Acceleration due to Gravity). To calculate Centrifugal Ratio, you need Vehicle Velocity (V), Curve Radius (R_Curve) & Acceleration due to Gravity (g). With our tool, you need to enter the respective value for Vehicle Velocity, 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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