Hands-Off Velocity Calculator

✖The Acceleration due to Gravity is acceleration gained by an object because of gravitational force.ⓘ Acceleration due to Gravity [g]			+10% -10%
✖Radius of Curve is the radius of a circle whose part, say, arc is taken for consideration.ⓘ Radius of Curve [R]			+10% -10%
✖Angle of Super Elevation is the angle with which the road or rail is raised for proper transportation for vehicles.ⓘ Angle of Super Elevation [θ]			+10% -10%

✖Hands off velocity is the velocity with which the vehicle moves without using the steering wheel.ⓘ Hands-Off Velocity [v]

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Formula

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Hands-Off Velocity

Formula

`"v" = sqrt("g"*"R"*tan("θ"))`

Example

`"13.3546m/s"=sqrt("9.8m/s²"*"50m"*tan("20°"))`

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Hands-Off Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Hands off Velocity = sqrt(Acceleration due to Gravity*Radius of Curve*tan(Angle of Super Elevation))
v = sqrt(g*R*tan(θ))
This formula uses 2 Functions, 4 Variables

Functions Used

tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)
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

Hands off Velocity - (Measured in Meter per Second) - Hands off velocity is the velocity with which the vehicle moves without using the steering wheel.
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.
Radius of Curve - (Measured in Meter) - Radius of Curve is the radius of a circle whose part, say, arc is taken for consideration.
Angle of Super Elevation - (Measured in Radian) - Angle of Super Elevation is the angle with which the road or rail is raised for proper transportation for vehicles.

STEP 1: Convert Input(s) to Base Unit

Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Radius of Curve: 50 Meter --> 50 Meter No Conversion Required
Angle of Super Elevation: 20 Degree --> 0.3490658503988 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v = sqrt(g*R*tan(θ)) --> sqrt(9.8*50*tan(0.3490658503988))

Evaluating ... ...

v = 13.3546027567428

STEP 3: Convert Result to Output's Unit

13.3546027567428 Meter per Second --> No Conversion Required

FINAL ANSWER

13.3546027567428 ≈ 13.3546 Meter per Second <-- Hands off Velocity

(Calculation completed in 00.004 seconds)

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Credits

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

M Naveen has verified this Calculator and 900+ more calculators!

< 10+ Length of Transition Curve Calculators

Length given Angle of Super Elevation

Go Transition Curve Length = (Acceleration due to Gravity*tan(Super Elevation Angle))^1.5*sqrt(Curve Radius)/Rate of Radial Acceleration

Length of Transition Curve given Time Rate

Go Transition Curve Length = Railway Gauge*Vehicle Velocity^3/(Super Elevation Time Rate*Acceleration due to Gravity*Curve Radius)

Time Rate given Length of Transition Curve

Go Super Elevation Time Rate = Railway Gauge*Vehicle Velocity^3/(Transition Curve Length*Acceleration due to Gravity*Curve Radius)

Hands-Off Velocity

Go Hands off Velocity = sqrt(Acceleration due to Gravity*Radius of Curve*tan(Angle of Super Elevation))

Rate of Change of Radial Acceleration

Go Rate of Radial Acceleration = (Vehicle Velocity^2/(Curve Radius*Time taken to Travel))

Time Taken given Radial Acceleration

Go Time taken to Travel = (Vehicle Velocity^2/(Curve Radius*Rate of Radial Acceleration))

Length of Transition Curve given Shift

Go Transition Curve Length = sqrt(Shift*24*Curve Radius)

Shift of Curve

Go Shift = Transition Curve Length^2/(24*Curve Radius)

Length when Comfort Condition Holds Good for Highways

Go Transition Curve Length = 12.80*sqrt(Curve Radius)

Length when Comfort Condition Holds Good for Railways

Go Transition Curve Length = 4.52*sqrt(Curve Radius)

Hands-Off Velocity Formula

Hands off Velocity = sqrt(Acceleration due to Gravity*Radius of Curve*tan(Angle of Super Elevation))
v = sqrt(g*R*tan(θ))

What are the Requirements of Transition Curve?

The curve originates tangentially from the straight line, meets tangentially with the circular curve, and has an infinite radius at the origin of the straight line. Its radius at the junction with the circular curve is the same as that of the circular curve. In other words, the curve starts at a straight line and curves away from it, meeting the circular curve at a tangent. The radius of the curve is infinite at the origin, meaning that the curve is essentially a straight line at that point. The radius of the curve then decreases until it reaches the same radius as the circular curve, at which point the curve joins the circular curve.

How to Calculate Hands-Off Velocity?

Hands-Off Velocity calculator uses Hands off Velocity = sqrt(Acceleration due to Gravity*Radius of Curve*tan(Angle of Super Elevation)) to calculate the Hands off Velocity, The Hands-Off Velocity formula is defined as when the vehicle steers itself along the curve without the driver using the steering wheel. Hands off Velocity is denoted by v symbol.

How to calculate Hands-Off Velocity using this online calculator? To use this online calculator for Hands-Off Velocity, enter Acceleration due to Gravity (g), Radius of Curve (R) & Angle of Super Elevation (θ) and hit the calculate button. Here is how the Hands-Off Velocity calculation can be explained with given input values -> 13.3546 = sqrt(9.8*50*tan(0.3490658503988)).

FAQ

What is Hands-Off Velocity?

The Hands-Off Velocity formula is defined as when the vehicle steers itself along the curve without the driver using the steering wheel and is represented as v = sqrt(g*R*tan(θ)) or Hands off Velocity = sqrt(Acceleration due to Gravity*Radius of Curve*tan(Angle of Super Elevation)). The Acceleration due to Gravity is acceleration gained by an object because of gravitational force, Radius of Curve is the radius of a circle whose part, say, arc is taken for consideration & Angle of Super Elevation is the angle with which the road or rail is raised for proper transportation for vehicles.

How to calculate Hands-Off Velocity?

The Hands-Off Velocity formula is defined as when the vehicle steers itself along the curve without the driver using the steering wheel is calculated using Hands off Velocity = sqrt(Acceleration due to Gravity*Radius of Curve*tan(Angle of Super Elevation)). To calculate Hands-Off Velocity, you need Acceleration due to Gravity (g), Radius of Curve (R) & Angle of Super Elevation (θ). With our tool, you need to enter the respective value for Acceleration due to Gravity, Radius of Curve & Angle of Super Elevation 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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