Longitudinal Slip Velocity for Zero Slip Angle Calculator

✖Angular Velocity of Driven or Braked Wheel is the rate of change of angular displacement of a wheel in a racing car, affecting its speed and handling.ⓘ Angular Velocity of Driven or Braked Wheel [Ω]			+10% -10%
✖Angular Velocity of Free Rolling Wheel is the speed at which a wheel rotates around its axis when it is not driven by a torque.ⓘ Angular Velocity of Free Rolling Wheel [Ω₀]			+10% -10%

✖Longitudinal Slip Angular Velocity is the speed at which the tire slips in the longitudinal direction during cornering or braking in a racing car.ⓘ Longitudinal Slip Velocity for Zero Slip Angle [s_ltd]

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Formula

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Longitudinal Slip Velocity for Zero Slip Angle

Formula

s ltd = Ω - Ω 0

Example

9 rad/s = 58.5 rad/s - 49.5 rad/s

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Longitudinal Slip Velocity for Zero Slip Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Longitudinal Slip Angular Velocity = Angular Velocity of Driven or Braked Wheel-Angular Velocity of Free Rolling Wheel
s_ltd = Ω-Ω₀
This formula uses 3 Variables

Variables Used

Longitudinal Slip Angular Velocity - (Measured in Radian per Second) - Longitudinal Slip Angular Velocity is the speed at which the tire slips in the longitudinal direction during cornering or braking in a racing car.
Angular Velocity of Driven or Braked Wheel - (Measured in Radian per Second) - Angular Velocity of Driven or Braked Wheel is the rate of change of angular displacement of a wheel in a racing car, affecting its speed and handling.
Angular Velocity of Free Rolling Wheel - (Measured in Radian per Second) - Angular Velocity of Free Rolling Wheel is the speed at which a wheel rotates around its axis when it is not driven by a torque.

STEP 1: Convert Input(s) to Base Unit

Angular Velocity of Driven or Braked Wheel: 58.5 Radian per Second --> 58.5 Radian per Second No Conversion Required
Angular Velocity of Free Rolling Wheel: 49.5 Radian per Second --> 49.5 Radian per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

s_ltd = Ω-Ω₀ --> 58.5-49.5

Evaluating ... ...

s_ltd = 9

STEP 3: Convert Result to Output's Unit

9 Radian per Second --> No Conversion Required

FINAL ANSWER

9 Radian per Second <-- Longitudinal Slip Angular Velocity

(Calculation completed in 00.004 seconds)

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Created by Peri Krishna Karthik

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

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Longitudinal Slip Velocity for Zero Slip Angle Formula

Longitudinal Slip Angular Velocity = Angular Velocity of Driven or Braked Wheel-Angular Velocity of Free Rolling Wheel
s_ltd = Ω-Ω₀

What is Longitudinal Slip Velocity?

Longitudinal slip velocity refers to the difference in speed between the vehicle's wheel and the road surface in the direction of travel. It occurs when the wheel is either accelerating or decelerating, causing it to rotate at a speed that does not perfectly match the vehicle's forward speed. This can result in either slipping or sliding, such as during hard braking (causing the wheel to slow down more than the vehicle) or rapid acceleration (causing the wheel to spin faster than the vehicle's speed). Longitudinal slip velocity is an important factor in understanding tire behavior, traction, and the effectiveness of vehicle control systems like ABS and traction control.

How to Calculate Longitudinal Slip Velocity for Zero Slip Angle?

Longitudinal Slip Velocity for Zero Slip Angle calculator uses Longitudinal Slip Angular Velocity = Angular Velocity of Driven or Braked Wheel-Angular Velocity of Free Rolling Wheel to calculate the Longitudinal Slip Angular Velocity, Longitudinal Slip Velocity for Zero Slip Angle formula is defined as a measure of the velocity at which a wheel is rotating when the slip angle is zero, providing insight into the tire's behavior and its interaction with the road surface during cornering or braking maneuvers. Longitudinal Slip Angular Velocity is denoted by s_ltd symbol.

How to calculate Longitudinal Slip Velocity for Zero Slip Angle using this online calculator? To use this online calculator for Longitudinal Slip Velocity for Zero Slip Angle, enter Angular Velocity of Driven or Braked Wheel (Ω) & Angular Velocity of Free Rolling Wheel (Ω₀) and hit the calculate button. Here is how the Longitudinal Slip Velocity for Zero Slip Angle calculation can be explained with given input values -> 9.5 = 58.5-49.5.

FAQ

What is Longitudinal Slip Velocity for Zero Slip Angle?

Longitudinal Slip Velocity for Zero Slip Angle formula is defined as a measure of the velocity at which a wheel is rotating when the slip angle is zero, providing insight into the tire's behavior and its interaction with the road surface during cornering or braking maneuvers and is represented as s_ltd = Ω-Ω₀ or Longitudinal Slip Angular Velocity = Angular Velocity of Driven or Braked Wheel-Angular Velocity of Free Rolling Wheel. Angular Velocity of Driven or Braked Wheel is the rate of change of angular displacement of a wheel in a racing car, affecting its speed and handling & Angular Velocity of Free Rolling Wheel is the speed at which a wheel rotates around its axis when it is not driven by a torque.

How to calculate Longitudinal Slip Velocity for Zero Slip Angle?

Longitudinal Slip Velocity for Zero Slip Angle formula is defined as a measure of the velocity at which a wheel is rotating when the slip angle is zero, providing insight into the tire's behavior and its interaction with the road surface during cornering or braking maneuvers is calculated using Longitudinal Slip Angular Velocity = Angular Velocity of Driven or Braked Wheel-Angular Velocity of Free Rolling Wheel. To calculate Longitudinal Slip Velocity for Zero Slip Angle, you need Angular Velocity of Driven or Braked Wheel (Ω) & Angular Velocity of Free Rolling Wheel (Ω₀). With our tool, you need to enter the respective value for Angular Velocity of Driven or Braked Wheel & Angular Velocity of Free Rolling Wheel 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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