Longitudinal Slip Velocity Calculator

✖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.ⓘ Axle Speed over Roadway [V_Roadway]			+10% -10%
✖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.ⓘ Slip Angle [α_slip]			+10% -10%
✖Circumferential Velocity of Tire under Traction is the speed at which the tire rotates while maintaining contact with the road surface during racing.ⓘ Circumferential Velocity of Tire under Traction [V_B]			+10% -10%

✖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.ⓘ Longitudinal Slip Velocity [v_longitudinal]

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Longitudinal Slip Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Longitudinal Slip Velocity = Axle Speed over Roadway*cos(Slip Angle)-Circumferential Velocity of Tire under Traction
v_longitudinal = V_Roadway*cos(α_slip)-V_B
This formula uses 1 Functions, 4 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Longitudinal Slip Velocity - (Measured in Meter per Second) - 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.
Axle Speed over Roadway - (Measured in Meter per Second) - 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.
Slip Angle - (Measured in Radian) - 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.
Circumferential Velocity of Tire under Traction - (Measured in Meter per Second) - Circumferential Velocity of Tire under Traction is the speed at which the tire rotates while maintaining contact with the road surface during racing.

STEP 1: Convert Input(s) to Base Unit

Axle Speed over Roadway: 30 Meter per Second --> 30 Meter per Second No Conversion Required
Slip Angle: 0.087 Radian --> 0.087 Radian No Conversion Required
Circumferential Velocity of Tire under Traction: 25 Meter per Second --> 25 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v_longitudinal = V_Roadway*cos(α_slip)-V_B --> 30*cos(0.087)-25

Evaluating ... ...

v_longitudinal = 4.88653659413593

STEP 3: Convert Result to Output's Unit

4.88653659413593 Meter per Second --> No Conversion Required

FINAL ANSWER

4.88653659413593 ≈ 4.886537 Meter per Second <-- Longitudinal Slip Velocity

(Calculation completed in 00.020 seconds)

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Home » Physics » Automobile » Race Car Vehicle Dynamics » Tire Behavior in Racing Car » Mechanical » Tire Rolling and Slipping » Longitudinal Slip Velocity

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Created by Peri Krishna Karthik

National Institute of Technology Calicut (NIT Calicut), Calicut, Kerala

Peri Krishna Karthik has created this Calculator and 200+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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Longitudinal Slip Velocity Formula

LaTeX Go

Longitudinal Slip Velocity = Axle Speed over Roadway*cos(Slip Angle)-Circumferential Velocity of Tire under Traction
v_longitudinal = V_Roadway*cos(α_slip)-V_B

What are the Effects of Slip Angle?

The ratios between the slip angles of the front and rear axles (a function of the slip angles of the front and rear tires respectively) will determine the vehicle's behavior in a given turn. If the ratio of front to rear slip angles is greater than 1:1, the vehicle will tend to understeer, while a ratio of less than 1:1 will produce oversteer. Actual instantaneous slip angles depend on many factors, including the condition of the road surface, but a vehicle's suspension can be designed to promote specific dynamic characteristics. A principal means of adjusting developed slip angles is to alter the relative roll couple (the rate at which weight transfers from the inside to the outside wheel in a turn) front to rear by varying the relative amount of front and rear lateral load transfer. This can be achieved by modifying the height of the roll centers, or by adjusting roll stiffness, either through suspension changes or the addition of an anti-roll bar.

How to Calculate Longitudinal Slip Velocity?

Longitudinal Slip Velocity calculator uses Longitudinal Slip Velocity = Axle Speed over Roadway*cos(Slip Angle)-Circumferential Velocity of Tire under Traction to calculate 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 calculate Longitudinal Slip Velocity using this online calculator? To use this online calculator 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. Here is how the Longitudinal Slip Velocity calculation can be explained with given input values -> 4.886537 = 30*cos(0.087)-25.

FAQ

What is 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 and is represented as v_longitudinal = V_Roadway*cos(α_slip)-V_B or Longitudinal Slip Velocity = Axle Speed over Roadway*cos(Slip Angle)-Circumferential Velocity of Tire under Traction. 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, 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 & Circumferential Velocity of Tire under Traction is the speed at which the tire rotates while maintaining contact with the road surface during racing.

How to calculate 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 is calculated using Longitudinal Slip Velocity = Axle Speed over Roadway*cos(Slip Angle)-Circumferential Velocity of Tire under Traction. To calculate Longitudinal Slip Velocity, you need Axle Speed over Roadway (V_Roadway), Slip Angle (α_slip) & Circumferential Velocity of Tire under Traction (V_B). With our tool, you need to enter the respective value for Axle Speed over Roadway, Slip Angle & Circumferential Velocity of Tire under Traction 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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