Slip Ratio given Velocity of Driven Wheel and Free Rolling Wheel 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%

✖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 Velocity of Driven Wheel and Free Rolling Wheel [SR]

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

STEP 0: Pre-Calculation Summary

Formula Used

Slip Ratio = Angular Velocity of Driven or Braked Wheel/Angular Velocity of Free Rolling Wheel-1
SR = Ω/Ω₀-1
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.
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

SR = Ω/Ω₀-1 --> 58.5/49.5-1

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 00.004 seconds)

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

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

LaTeX Go

Slip Ratio = Angular Velocity of Driven or Braked Wheel/Angular Velocity of Free Rolling Wheel-1
SR = Ω/Ω₀-1

What is Slip Ratio?

Slip ratio is a measure of the difference between the actual speed of a wheel and the speed at which the vehicle is moving, expressed as a percentage. It indicates how much the wheel is slipping compared to its ideal rolling speed. Slip ratio is crucial in assessing tire performance, particularly during acceleration, braking, and cornering. It helps in optimizing traction and stability by understanding the interaction between the tire and the road surface.

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

Slip Ratio given Velocity of Driven Wheel and Free Rolling Wheel calculator uses Slip Ratio = Angular Velocity of Driven or Braked Wheel/Angular Velocity of Free Rolling Wheel-1 to calculate the Slip Ratio, Slip Ratio given Velocity of Driven Wheel and Free Rolling Wheel formula is defined as a dimensionless quantity that measures the difference between the rotational speed of the driven wheel and the free rolling wheel in a vehicle, providing insight into the wheel's traction and slip behavior during acceleration or braking. Slip Ratio is denoted by SR symbol.

How to calculate Slip Ratio given Velocity of Driven Wheel and Free Rolling Wheel using this online calculator? To use this online calculator for Slip Ratio given Velocity of Driven Wheel and Free Rolling Wheel, 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 Slip Ratio given Velocity of Driven Wheel and Free Rolling Wheel calculation can be explained with given input values -> 0.191919 = 58.5/49.5-1.

FAQ

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

Slip Ratio given Velocity of Driven Wheel and Free Rolling Wheel formula is defined as a dimensionless quantity that measures the difference between the rotational speed of the driven wheel and the free rolling wheel in a vehicle, providing insight into the wheel's traction and slip behavior during acceleration or braking and is represented as SR = Ω/Ω₀-1 or Slip Ratio = Angular Velocity of Driven or Braked Wheel/Angular Velocity of Free Rolling Wheel-1. 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 Slip Ratio given Velocity of Driven Wheel and Free Rolling Wheel?

Slip Ratio given Velocity of Driven Wheel and Free Rolling Wheel formula is defined as a dimensionless quantity that measures the difference between the rotational speed of the driven wheel and the free rolling wheel in a vehicle, providing insight into the wheel's traction and slip behavior during acceleration or braking is calculated using Slip Ratio = Angular Velocity of Driven or Braked Wheel/Angular Velocity of Free Rolling Wheel-1. To calculate Slip Ratio given Velocity of Driven Wheel and Free Rolling Wheel, 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.

How many ways are there to calculate Slip Ratio?

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

Slip Ratio = Longitudinal Slip Angular Velocity/Angular Velocity of Free Rolling Wheel
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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