Slip Ratio given Longitudinal Slip Velocity and Velocity of Free Rolling Wheel Calculator

✖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 Angular Velocity [s_ltd]			+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%

✖Slip Ratio is the ratio of the difference between the tire's rotational speed and its translational speed to its translational speed in tire behavior.ⓘ Slip Ratio given Longitudinal Slip Velocity and Velocity of Free Rolling Wheel [SR]

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Slip Ratio given Longitudinal Slip Velocity and Velocity of Free Rolling Wheel Solution

STEP 0: Pre-Calculation Summary

Formula Used

Slip Ratio = Longitudinal Slip Angular Velocity/Angular Velocity of Free Rolling Wheel
SR = s_ltd/Ω₀
This formula uses 3 Variables

Variables Used

Slip Ratio - Slip Ratio is the ratio of the difference between the tire's rotational speed and its translational speed to its translational speed in tire behavior.
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 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

Longitudinal Slip Angular Velocity: 9 Radian per Second --> 9 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

SR = s_ltd/Ω₀ --> 9/49.5

Evaluating ... ...

SR = 0.181818181818182

STEP 3: Convert Result to Output's Unit

0.181818181818182 --> No Conversion Required

FINAL ANSWER

0.181818181818182 ≈ 0.181818 <-- Slip Ratio

(Calculation completed in 00.006 seconds)

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Slip Ratio given Longitudinal Slip Velocity and Velocity of Free Rolling Wheel Formula

LaTeX Go

Slip Ratio = Longitudinal Slip Angular Velocity/Angular Velocity of Free Rolling Wheel
SR = s_ltd/Ω₀

What is Velocity of Free Rolling Wheel?

The velocity of a free-rolling wheel refers to the speed at which the wheel moves along a surface without slipping or skidding. In this state, the linear velocity of the wheel's center matches the product of the wheel's angular velocity and its radius. This means the wheel rolls smoothly with no relative motion between the point of contact on the tire and the road surface. The velocity of a free-rolling wheel is essential for efficient and controlled vehicle motion, contributing to fuel efficiency, tire longevity, and overall driving stability.

How to Calculate Slip Ratio given Longitudinal Slip Velocity and Velocity of Free Rolling Wheel?

Slip Ratio given Longitudinal Slip Velocity and Velocity of Free Rolling Wheel calculator uses Slip Ratio = Longitudinal Slip Angular Velocity/Angular Velocity of Free Rolling Wheel to calculate the Slip Ratio, Slip Ratio given Longitudinal Slip Velocity and Velocity of Free Rolling Wheel formula is defined as a dimensionless quantity that expresses the degree of wheel slip during vehicle motion, providing a measure of the difference between the angular velocity of the wheel and its actual velocity. Slip Ratio is denoted by SR symbol.

How to calculate Slip Ratio given Longitudinal Slip Velocity and Velocity of Free Rolling Wheel using this online calculator? To use this online calculator for Slip Ratio given Longitudinal Slip Velocity and Velocity of Free Rolling Wheel, enter Longitudinal Slip Angular Velocity (s_ltd) & Angular Velocity of Free Rolling Wheel (Ω₀) and hit the calculate button. Here is how the Slip Ratio given Longitudinal Slip Velocity and Velocity of Free Rolling Wheel calculation can be explained with given input values -> 0.181818 = 9/49.5.

FAQ

What is Slip Ratio given Longitudinal Slip Velocity and Velocity of Free Rolling Wheel?

Slip Ratio given Longitudinal Slip Velocity and Velocity of Free Rolling Wheel formula is defined as a dimensionless quantity that expresses the degree of wheel slip during vehicle motion, providing a measure of the difference between the angular velocity of the wheel and its actual velocity and is represented as SR = s_ltd/Ω₀ or Slip Ratio = Longitudinal Slip Angular Velocity/Angular Velocity of Free Rolling Wheel. 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 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 Slip Ratio given Longitudinal Slip Velocity and Velocity of Free Rolling Wheel?

Slip Ratio given Longitudinal Slip Velocity and Velocity of Free Rolling Wheel formula is defined as a dimensionless quantity that expresses the degree of wheel slip during vehicle motion, providing a measure of the difference between the angular velocity of the wheel and its actual velocity is calculated using Slip Ratio = Longitudinal Slip Angular Velocity/Angular Velocity of Free Rolling Wheel. To calculate Slip Ratio given Longitudinal Slip Velocity and Velocity of Free Rolling Wheel, you need Longitudinal Slip Angular Velocity (s_ltd) & Angular Velocity of Free Rolling Wheel (Ω₀). With our tool, you need to enter the respective value for Longitudinal Slip Angular Velocity & 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.

How many ways are there to calculate Slip Ratio?

In this formula, Slip Ratio uses Longitudinal Slip Angular Velocity & Angular Velocity of Free Rolling Wheel. We can use 3 other way(s) to calculate the same, which is/are as follows -

Slip Ratio = Angular Velocity of Driven or Braked Wheel/Angular Velocity of Free Rolling Wheel-1
Slip Ratio = Wheel Angular Velocity*Effective Rolling Radius for Free Rolling/(Axle Speed over Roadway*cos(Slip Angle))-1
Slip Ratio = Wheel Angular Velocity*Height of Axle above Road Surface (Loaded Radius)/(Axle Speed over Roadway*cos(Slip Angle))-1

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