Velocity of Vehicle for Psychological Widening Calculator

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Design of Transition Curves and Setback Distances

✖Psychological Widening at Horizontal Curves is used when some extra space is to be provided for more clearance for the crossing and overtaking operations on curves.ⓘ Psychological Widening at Horizontal Curves [W_ps]			+10% -10%
✖Mean Radius of Curve is the mean radius of the horizontal curve of the road.ⓘ Mean Radius of Curve [R_mean]			+10% -10%

✖Velocity is the rate of change of distance of the vehicle with respect to time.ⓘ Velocity of Vehicle for Psychological Widening [v_vehicle]

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Formula

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Velocity of Vehicle for Psychological Widening

Formula

`"v"_{"vehicle"} = 2.64*"W"_{"ps"}*sqrt("R"_{"mean"})`

Example

`"27.50375m/s"=2.64*"0.565m"*sqrt("340m")`

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Velocity of Vehicle for Psychological Widening Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity = 2.64*Psychological Widening at Horizontal Curves*sqrt(Mean Radius of Curve)
v_vehicle = 2.64*W_ps*sqrt(R_mean)
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

Velocity - (Measured in Meter per Second) - Velocity is the rate of change of distance of the vehicle with respect to time.
Psychological Widening at Horizontal Curves - (Measured in Meter) - Psychological Widening at Horizontal Curves is used when some extra space is to be provided for more clearance for the crossing and overtaking operations on curves.
Mean Radius of Curve - (Measured in Meter) - Mean Radius of Curve is the mean radius of the horizontal curve of the road.

STEP 1: Convert Input(s) to Base Unit

Psychological Widening at Horizontal Curves: 0.565 Meter --> 0.565 Meter No Conversion Required
Mean Radius of Curve: 340 Meter --> 340 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v_vehicle = 2.64*W_ps*sqrt(R_mean) --> 2.64*0.565*sqrt(340)

Evaluating ... ...

v_vehicle = 27.5037450249961

STEP 3: Convert Result to Output's Unit

27.5037450249961 Meter per Second --> No Conversion Required

FINAL ANSWER

27.5037450249961 ≈ 27.50375 Meter per Second <-- Velocity

(Calculation completed in 00.004 seconds)

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Created by Avayjit Das

University of Engineering and Management,Kolkata (UEMK), Kolkata

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Verified by Kartikay Pandit

National Institute Of Technology (NIT), Hamirpur

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< 12 Design of Superelevation Calculators

Total Widening needed at Horizontal Curve

Go Total Widening Needed at Horizontal Curve = (Number of Lanes*Distance between Front and Rear Wheel^2)/(2*Mean Radius of Curve)+Velocity/(2.64*sqrt(Mean Radius of Curve))

Distance between Front and Rear Wheel

Go Distance between Front and Rear Wheel = 2*Radius of Outer Track Line of Front Wheel*Mechanical Widening on Horizontal Curves-Mechanical Widening on Horizontal Curves^2

Velocity of Vehicle for Ruling Minimum Radius

Go Velocity = sqrt(Ruling Minimum Radius*[g]*(Rate of Super Elevation+Coefficient of Lateral Friction))

Radius of Outer Track Line of Front Wheel

Go Radius of Outer Track Line of Front Wheel = sqrt(Radius of Outer Track Line of Rear Wheel^2+Distance between Front and Rear Wheel^2)

Radius of Outer Track Line of Rear Wheel

Go Radius of Outer Track Line of Rear Wheel = sqrt(Radius of Outer Track Line of Front Wheel^2-Distance between Front and Rear Wheel^2)

Ruling Minimum Radius

Go Ruling Minimum Radius = Velocity^2/([g]*(Rate of Super Elevation+Coefficient of Lateral Friction))

Mechanical Widening needed for Large Radius of Road Curve

Go Mechanical Widening on Horizontal Curves = (Number of Lanes*Distance between Front and Rear Wheel^2)/(2*Mean Radius of Curve)

Number of Lanes in Horizontal Curve

Go Number of Lanes = (2*Mechanical Widening on Horizontal Curves*Mean Radius of Curve)/Distance between Front and Rear Wheel^2

Psychological Widening at Horizontal Curves

Go Psychological Widening at Horizontal Curves = Velocity/(2.64*sqrt(Mean Radius of Curve))

Velocity of Vehicle for Psychological Widening

Go Velocity = 2.64*Psychological Widening at Horizontal Curves*sqrt(Mean Radius of Curve)

Rate of Super Elevation

Go Rate of Super Elevation = (0.75*Velocity^2)/([g]*Mean Radius of Curve)

Allowable Speed of Vehicle in Horizontal Curve

Go Allowable Speed = sqrt(0.22*[g]*Mean Radius of Curve)

Velocity of Vehicle for Psychological Widening Formula

Velocity = 2.64*Psychological Widening at Horizontal Curves*sqrt(Mean Radius of Curve)
v_vehicle = 2.64*W_ps*sqrt(R_mean)

What is Psychological Effect?

Due to psychological effect, vehicles need more width to cross or overtake an other vehicle on the horizontal curve than straight path.

How to Calculate Velocity of Vehicle for Psychological Widening?

Velocity of Vehicle for Psychological Widening calculator uses Velocity = 2.64*Psychological Widening at Horizontal Curves*sqrt(Mean Radius of Curve) to calculate the Velocity, The Velocity of Vehicle for Psychological Widening formula is defined as velocity of vehicle occur due to Psychological Widening in Horizontal curve. Velocity is denoted by v_vehicle symbol.

How to calculate Velocity of Vehicle for Psychological Widening using this online calculator? To use this online calculator for Velocity of Vehicle for Psychological Widening, enter Psychological Widening at Horizontal Curves (W_ps) & Mean Radius of Curve (R_mean) and hit the calculate button. Here is how the Velocity of Vehicle for Psychological Widening calculation can be explained with given input values -> 27.50375 = 2.64*0.565*sqrt(340).

FAQ

What is Velocity of Vehicle for Psychological Widening?

The Velocity of Vehicle for Psychological Widening formula is defined as velocity of vehicle occur due to Psychological Widening in Horizontal curve and is represented as v_vehicle = 2.64*W_ps*sqrt(R_mean) or Velocity = 2.64*Psychological Widening at Horizontal Curves*sqrt(Mean Radius of Curve). Psychological Widening at Horizontal Curves is used when some extra space is to be provided for more clearance for the crossing and overtaking operations on curves & Mean Radius of Curve is the mean radius of the horizontal curve of the road.

How to calculate Velocity of Vehicle for Psychological Widening?

The Velocity of Vehicle for Psychological Widening formula is defined as velocity of vehicle occur due to Psychological Widening in Horizontal curve is calculated using Velocity = 2.64*Psychological Widening at Horizontal Curves*sqrt(Mean Radius of Curve). To calculate Velocity of Vehicle for Psychological Widening, you need Psychological Widening at Horizontal Curves (W_ps) & Mean Radius of Curve (R_mean). With our tool, you need to enter the respective value for Psychological Widening at Horizontal Curves & Mean Radius of Curve 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 Psychological Widening at Horizontal Curves & Mean Radius of Curve. We can use 1 other way(s) to calculate the same, which is/are as follows -

Velocity = sqrt(Ruling Minimum Radius*[g]*(Rate of Super Elevation+Coefficient of Lateral Friction))

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