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Longitudinal Slip Velocity Formula

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Longitudinal Slip Velocity is the speed at which the tire's rotational velocity differs from its translational velocity during acceleration or braking in a racing car. Check FAQs

v longitudinal = V Roadway \cdot \cos (α slip) - V B

v_longitudinal - Longitudinal Slip Velocity?V_Roadway - Axle Speed over Roadway?α_slip - Slip Angle?V_B - Circumferential Velocity of Tire under Traction?

Longitudinal Slip Velocity Example

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Here is how the Longitudinal Slip Velocity equation looks like with Values.

Here is how the Longitudinal Slip Velocity equation looks like with Units.

Here is how the Longitudinal Slip Velocity equation looks like.

4.8865 = 30 \cdot \cos (0.087) - 25

4.8865m/s = 30m/s \cdot \cos (0.087rad) - 25m/s

4.8865 = 30 \cdot \cos (0.087) - 25

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Longitudinal Slip Velocity Solution

Follow our step by step solution on how to calculate Longitudinal Slip Velocity?

FIRST Step Consider the formula

v longitudinal = V Roadway \cdot \cos (α slip) - V B

Next Step Substitute values of Variables

∴

v longitudinal = 30m/s \cdot \cos (0.087rad) - 25m/s

Next Step Prepare to Evaluate

∴

v longitudinal = 30 \cdot \cos (0.087) - 25

Next Step Evaluate

∴

v longitudinal = 4.88653659413593m/s

LAST Step Rounding Answer

∴

v longitudinal = 4.8865m/s

Longitudinal Slip Velocity Formula Elements

Variables

Functions

Longitudinal Slip Velocity

Longitudinal Slip Velocity is the speed at which the tire's rotational velocity differs from its translational velocity during acceleration or braking in a racing car.

Symbol: v_longitudinal

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Longitudinal Slip Velocity

Axle Speed over Roadway

Axle Speed over Roadway is the speed of the axle in relation to the roadway, influencing the tire behavior and overall performance of a racing car.

Symbol: V_Roadway

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Axle Speed over Roadway

Slip Angle

Slip Angle is the angle between the direction of the tire's motion and the direction of the force it is experiencing on the road surface.

Symbol: α_slip

Measurement: AngleUnit: rad

Note: Value should be less than 361.

Formulas to find Slip Angle

Circumferential Velocity of Tire under Traction

Circumferential Velocity of Tire under Traction is the speed at which the tire rotates while maintaining contact with the road surface during racing.

Symbol: V_B

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Circumferential Velocity of Tire under Traction

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other formulas in Tire Rolling and Slipping category

Go Rolling Radius of Tire

R w = \frac{2}{3} \cdot R g + \frac{1}{3} \cdot R h

Go Rolling Resistance Coefficient

f r = \frac{a v}{r}

Go Rolling Resistance at Wheels

F r = P \cdot f r

Go Gradient Resistance of Vehicle

F g = M v \cdot g \cdot \sin (α)

How to Evaluate Longitudinal Slip Velocity?

Longitudinal Slip Velocity evaluator uses Longitudinal Slip Velocity = Axle Speed over Roadway*cos(Slip Angle)-Circumferential Velocity of Tire under Traction to evaluate the Longitudinal Slip Velocity, Longitudinal Slip Velocity formula is defined as a measure of the velocity of a vehicle in the longitudinal direction, which is influenced by the roadway velocity and the slip angle, providing a critical parameter in evaluating vehicle stability and traction control. Longitudinal Slip Velocity is denoted by v_longitudinal symbol.

How to evaluate Longitudinal Slip Velocity using this online evaluator? To use this online evaluator for Longitudinal Slip Velocity, enter Axle Speed over Roadway (V_Roadway), Slip Angle (α_slip) & Circumferential Velocity of Tire under Traction (V_B) and hit the calculate button.

FAQs on Longitudinal Slip Velocity

What is the formula to find Longitudinal Slip Velocity?

The formula of Longitudinal Slip Velocity is expressed as Longitudinal Slip Velocity = Axle Speed over Roadway*cos(Slip Angle)-Circumferential Velocity of Tire under Traction. Here is an example- 4.886537 = 30*cos(0.087)-25.

How to calculate Longitudinal Slip Velocity?

With Axle Speed over Roadway (V_Roadway), Slip Angle (α_slip) & Circumferential Velocity of Tire under Traction (V_B) we can find Longitudinal Slip Velocity using the formula - Longitudinal Slip Velocity = Axle Speed over Roadway*cos(Slip Angle)-Circumferential Velocity of Tire under Traction. This formula also uses Cosine (cos) function(s).

Can the Longitudinal Slip Velocity be negative?

No, the Longitudinal Slip Velocity, measured in Speed cannot be negative.

Which unit is used to measure Longitudinal Slip Velocity?

Longitudinal Slip 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 Longitudinal Slip Velocity can be measured.

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Longitudinal Slip Velocity Formula

Longitudinal Slip Velocity Example

Longitudinal Slip Velocity Solution

Longitudinal Slip Velocity Formula Elements

Other formulas in Tire Rolling and Slipping category

How to Evaluate Longitudinal Slip Velocity?

FAQs on Longitudinal Slip Velocity

Variable Name