Slip Ratio Defined According to Goodyear 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%
✖Wheel Angular Velocity is the speed at which a wheel rotates around its axis, affecting the racing car's traction, handling, and overall performance.ⓘ Wheel Angular Velocity [Ω_w]			+10% -10%
✖Effective Rolling Radius for Free Rolling is the distance from the center of the wheel to the point of contact with the road surface during free rolling tire behavior.ⓘ Effective Rolling Radius for Free Rolling [R_e]			+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 Defined According to Goodyear [SR]

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Slip Ratio Defined According to Goodyear Solution

STEP 0: Pre-Calculation Summary

Formula Used

Slip Ratio = 1-(Axle Speed over Roadway*cos(Slip Angle))/(Wheel Angular Velocity*Effective Rolling Radius for Free Rolling)
SR = 1-(V_Roadway*cos(α_slip))/(Ω_w*R_e)
This formula uses 1 Functions, 5 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

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.
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.
Wheel Angular Velocity - (Measured in Radian per Second) - Wheel Angular Velocity is the speed at which a wheel rotates around its axis, affecting the racing car's traction, handling, and overall performance.
Effective Rolling Radius for Free Rolling - (Measured in Meter) - Effective Rolling Radius for Free Rolling is the distance from the center of the wheel to the point of contact with the road surface during free rolling tire behavior.

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
Wheel Angular Velocity: 44 Radian per Second --> 44 Radian per Second No Conversion Required
Effective Rolling Radius for Free Rolling: 0.82 Meter --> 0.82 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

SR = 1-(V_Roadway*cos(α_slip))/(Ω_w*R_e) --> 1-(30*cos(0.087))/(44*0.82)

Evaluating ... ...

SR = 0.171659185306654

STEP 3: Convert Result to Output's Unit

0.171659185306654 --> No Conversion Required

FINAL ANSWER

0.171659185306654 ≈ 0.171659 <-- Slip Ratio

(Calculation completed in 00.004 seconds)

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Home » Physics » Automobile » Race Car Vehicle Dynamics » Tire Behavior in Racing Car » Mechanical » Tire Rolling and Slipping » Slip Ratio Defined According to Goodyear

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Slip Ratio Defined According to Goodyear Formula

LaTeX Go

Slip Ratio = 1-(Axle Speed over Roadway*cos(Slip Angle))/(Wheel Angular Velocity*Effective Rolling Radius for Free Rolling)
SR = 1-(V_Roadway*cos(α_slip))/(Ω_w*R_e)

What is Goodyear?

Goodyear is a major American tire manufacturing company, officially known as The Goodyear Tire & Rubber Company. Founded in 1898, Goodyear is one of the world's largest tire companies, producing tires for a wide range of vehicles, including cars, trucks, motorcycles, airplanes, and industrial equipment. The company is also known for its innovation in tire technology and its involvement in motorsports. In addition to tires, Goodyear manufactures other rubber-related products and has a global presence, with operations and facilities in multiple countries. The company is named after Charles Goodyear, the inventor of vulcanized rubber.

How to Calculate Slip Ratio Defined According to Goodyear?

Slip Ratio Defined According to Goodyear calculator uses Slip Ratio = 1-(Axle Speed over Roadway*cos(Slip Angle))/(Wheel Angular Velocity*Effective Rolling Radius for Free Rolling) to calculate the Slip Ratio, Slip Ratio Defined According to Goodyear formula is defined as a measure of the difference between the vehicle's wheel speed and its road speed, which is influenced by the tire's slip angle and the road's surface characteristics, providing valuable insights into a vehicle's traction and stability. Slip Ratio is denoted by SR symbol.

How to calculate Slip Ratio Defined According to Goodyear using this online calculator? To use this online calculator for Slip Ratio Defined According to Goodyear, enter Axle Speed over Roadway (V_Roadway), Slip Angle (α_slip), Wheel Angular Velocity (Ω_w) & Effective Rolling Radius for Free Rolling (R_e) and hit the calculate button. Here is how the Slip Ratio Defined According to Goodyear calculation can be explained with given input values -> 0.171659 = 1-(30*cos(0.087))/(44*0.82).

FAQ

What is Slip Ratio Defined According to Goodyear?

Slip Ratio Defined According to Goodyear formula is defined as a measure of the difference between the vehicle's wheel speed and its road speed, which is influenced by the tire's slip angle and the road's surface characteristics, providing valuable insights into a vehicle's traction and stability and is represented as SR = 1-(V_Roadway*cos(α_slip))/(Ω_w*R_e) or Slip Ratio = 1-(Axle Speed over Roadway*cos(Slip Angle))/(Wheel Angular Velocity*Effective Rolling Radius for Free Rolling). 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, Wheel Angular Velocity is the speed at which a wheel rotates around its axis, affecting the racing car's traction, handling, and overall performance & Effective Rolling Radius for Free Rolling is the distance from the center of the wheel to the point of contact with the road surface during free rolling tire behavior.

How to calculate Slip Ratio Defined According to Goodyear?

Slip Ratio Defined According to Goodyear formula is defined as a measure of the difference between the vehicle's wheel speed and its road speed, which is influenced by the tire's slip angle and the road's surface characteristics, providing valuable insights into a vehicle's traction and stability is calculated using Slip Ratio = 1-(Axle Speed over Roadway*cos(Slip Angle))/(Wheel Angular Velocity*Effective Rolling Radius for Free Rolling). To calculate Slip Ratio Defined According to Goodyear, you need Axle Speed over Roadway (V_Roadway), Slip Angle (α_slip), Wheel Angular Velocity (Ω_w) & Effective Rolling Radius for Free Rolling (R_e). With our tool, you need to enter the respective value for Axle Speed over Roadway, Slip Angle, Wheel Angular Velocity & Effective Rolling Radius for Free Rolling 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 Axle Speed over Roadway, Slip Angle, Wheel Angular Velocity & Effective Rolling Radius for Free Rolling. 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 = 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

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