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Hands-Off Velocity Formula

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Hands off velocity is the velocity with which the vehicle moves without using the steering wheel. Check FAQs

v = \sqrt{g \cdot R \cdot \tan (θ)}

v - Hands off Velocity?g - Acceleration due to Gravity?R - Radius of Curve?θ - Angle of Super Elevation?

Hands-Off Velocity Example

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Here is how the Hands-Off Velocity equation looks like with Values.

Here is how the Hands-Off Velocity equation looks like with Units.

Here is how the Hands-Off Velocity equation looks like.

13.3546 = \sqrt{9.8 \cdot 50 \cdot \tan (20)}

13.3546m/s = \sqrt{9.8m/s² \cdot 50m \cdot \tan (20°)}

13.3546 = \sqrt{9.8 \cdot 50 \cdot \tan (20)}

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Hands-Off Velocity Solution

Follow our step by step solution on how to calculate Hands-Off Velocity?

FIRST Step Consider the formula

v = \sqrt{g \cdot R \cdot \tan (θ)}

Next Step Substitute values of Variables

∴

v = \sqrt{9.8m/s² \cdot 50m \cdot \tan (20°)}

Next Step Convert Units

∴

v = \sqrt{9.8m/s² \cdot 50m \cdot \tan (0.3491rad)}

Next Step Prepare to Evaluate

∴

v = \sqrt{9.8 \cdot 50 \cdot \tan (0.3491)}

Next Step Evaluate

∴

v = 13.3546027567428m/s

LAST Step Rounding Answer

∴

v = 13.3546m/s

Hands-Off Velocity Formula Elements

Variables

Functions

Hands off Velocity

Hands off velocity is the velocity with which the vehicle moves without using the steering wheel.

Symbol: v

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Hands off Velocity

Acceleration due to Gravity

The Acceleration due to Gravity is acceleration gained by an object because of gravitational force.

Symbol: g

Measurement: AccelerationUnit: m/s²

Note: Value can be positive or negative.

Formulas to find Acceleration due to Gravity

Radius of Curve

Radius of Curve is the radius of a circle whose part, say, arc is taken for consideration.

Symbol: R

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Radius of Curve

Angle of Super Elevation

Angle of Super Elevation is the angle with which the road or rail is raised for proper transportation for vehicles.

Symbol: θ

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Angle of Super Elevation

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.

Syntax: 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.

Syntax: sqrt(Number)

Other formulas in Length of Transition Curve category

Go Length of Transition Curve given Time Rate

L a = G \cdot \frac{V^{3}}{x \cdot g \cdot R Curve}

Go Time Rate given Length of Transition Curve

x = G \cdot \frac{V^{3}}{L a \cdot g \cdot R Curve}

Go Rate of Change of Radial Acceleration

α = (\frac{V^{2}}{R Curve \cdot t})

Go Time Taken given Radial Acceleration

t = (\frac{V^{2}}{R Curve \cdot α})

How to Evaluate Hands-Off Velocity?

Hands-Off Velocity evaluator uses Hands off Velocity = sqrt(Acceleration due to Gravity*Radius of Curve*tan(Angle of Super Elevation)) to evaluate 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 evaluate Hands-Off Velocity using this online evaluator? To use this online evaluator for Hands-Off Velocity, enter Acceleration due to Gravity (g), Radius of Curve (R) & Angle of Super Elevation (θ) and hit the calculate button.

FAQs on Hands-Off Velocity

What is the formula to find Hands-Off Velocity?

The formula of Hands-Off Velocity is expressed as Hands off Velocity = sqrt(Acceleration due to Gravity*Radius of Curve*tan(Angle of Super Elevation)). Here is an example- 13.3546 = sqrt(9.8*50*tan(0.3490658503988)).

How to calculate Hands-Off Velocity?

With Acceleration due to Gravity (g), Radius of Curve (R) & Angle of Super Elevation (θ) we can find Hands-Off Velocity using the formula - Hands off Velocity = sqrt(Acceleration due to Gravity*Radius of Curve*tan(Angle of Super Elevation)). This formula also uses Tangent (tan), Square Root (sqrt) function(s).

Can the Hands-Off Velocity be negative?

Yes, the Hands-Off Velocity, measured in Speed can be negative.

Which unit is used to measure Hands-Off Velocity?

Hands-Off Velocity is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Hands-Off Velocity can be measured.

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Hands-Off Velocity Formula

Hands-Off Velocity Example

Hands-Off Velocity Solution

Hands-Off Velocity Formula Elements

Other formulas in Length of Transition Curve category

How to Evaluate Hands-Off Velocity?

FAQs on Hands-Off Velocity

Variable Name