Slip Ratio Defined According to Calspan TIRF Calculator

✖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%
✖Height of Axle above Road Surface (Loaded Radius) is the distance from the road surface to the axle when the racing car is fully loaded.ⓘ Height of Axle above Road Surface (Loaded Radius) [R_l]			+10% -10%
✖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%

✖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 Calspan TIRF [SR]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Tire Rolling and Slipping Formulas PDF PDF Image

Slip Ratio Defined According to Calspan TIRF Solution

STEP 0: Pre-Calculation Summary

Formula Used

Slip Ratio = Wheel Angular Velocity*Height of Axle above Road Surface (Loaded Radius)/(Axle Speed over Roadway*cos(Slip Angle))-1
SR = Ω_w*R_l/(V_Roadway*cos(α_slip))-1
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.
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.
Height of Axle above Road Surface (Loaded Radius) - (Measured in Meter) - Height of Axle above Road Surface (Loaded Radius) is the distance from the road surface to the axle when the racing car is fully loaded.
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.

STEP 1: Convert Input(s) to Base Unit

Wheel Angular Velocity: 44 Radian per Second --> 44 Radian per Second No Conversion Required
Height of Axle above Road Surface (Loaded Radius): 0.8 Meter --> 0.8 Meter No Conversion Required
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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

SR = Ω_w*R_l/(V_Roadway*cos(α_slip))-1 --> 44*0.8/(30*cos(0.087))-1

Evaluating ... ...

SR = 0.17778786073548

STEP 3: Convert Result to Output's Unit

0.17778786073548 --> No Conversion Required

FINAL ANSWER

0.17778786073548 ≈ 0.177788 <-- Slip Ratio

(Calculation completed in 00.004 seconds)

You are here -

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

Credits

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

Anshika Arya has verified this Calculator and 2500+ more calculators!

< Tire Rolling and Slipping Calculators

Gradient Resistance of Vehicle

LaTeX Go Gradient Resistance = Vehicle Weight in Newtons*Acceleration due to Gravity*sin(Angle of Inclination of Ground from Horizontal)

Rolling Resistance Coefficient

LaTeX Go Rolling Resistance Coefficient = Distance of Opposing Torque from Vertical/Effective Wheel Radius

Rolling Resistance at Wheels

LaTeX Go Rolling Resistance at Wheel = Normal Load on Wheels*Rolling Resistance Coefficient

Rolling Radius of Tire

LaTeX Go Rolling Radius of Tire = 2/3*Geometrical Radius of Tire+1/3*Loaded Height of Tire

Slip Ratio Defined According to Calspan TIRF Formula

LaTeX Go

Slip Ratio = Wheel Angular Velocity*Height of Axle above Road Surface (Loaded Radius)/(Axle Speed over Roadway*cos(Slip Angle))-1
SR = Ω_w*R_l/(V_Roadway*cos(α_slip))-1

What is Calspan TIRF?

Calspan Tire Research Facility (TIRF) is a specialized testing facility located in Buffalo, New York, that focuses on advanced tire testing and research. It is known for its state-of-the-art equipment and capabilities in evaluating tire performance under various conditions. The facility conducts tests on tire traction, rolling resistance, wear, and other key performance metrics, often using high-speed and high-load simulations. TIRF is widely used by automotive manufacturers, tire companies, and researchers to develop and optimize tire designs for better safety, efficiency, and performance.

How to Calculate Slip Ratio Defined According to Calspan TIRF?

Slip Ratio Defined According to Calspan TIRF calculator uses Slip Ratio = Wheel Angular Velocity*Height of Axle above Road Surface (Loaded Radius)/(Axle Speed over Roadway*cos(Slip Angle))-1 to calculate the Slip Ratio, Slip Ratio Defined According to Calspan TIRF formula is defined as a measure of the difference between the vehicle's wheel speed and its road speed, providing insight into the vehicle's traction and stability during cornering or braking maneuvers. Slip Ratio is denoted by SR symbol.

How to calculate Slip Ratio Defined According to Calspan TIRF using this online calculator? To use this online calculator for Slip Ratio Defined According to Calspan TIRF, enter Wheel Angular Velocity (Ω_w), Height of Axle above Road Surface (Loaded Radius) (R_l), Axle Speed over Roadway (V_Roadway) & Slip Angle (α_slip) and hit the calculate button. Here is how the Slip Ratio Defined According to Calspan TIRF calculation can be explained with given input values -> 0.177788 = 44*0.8/(30*cos(0.087))-1.

FAQ

What is Slip Ratio Defined According to Calspan TIRF?

Slip Ratio Defined According to Calspan TIRF formula is defined as a measure of the difference between the vehicle's wheel speed and its road speed, providing insight into the vehicle's traction and stability during cornering or braking maneuvers and is represented as SR = Ω_w*R_l/(V_Roadway*cos(α_slip))-1 or Slip Ratio = Wheel Angular Velocity*Height of Axle above Road Surface (Loaded Radius)/(Axle Speed over Roadway*cos(Slip Angle))-1. Wheel Angular Velocity is the speed at which a wheel rotates around its axis, affecting the racing car's traction, handling, and overall performance, Height of Axle above Road Surface (Loaded Radius) is the distance from the road surface to the axle when the racing car is fully loaded, 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.

How to calculate Slip Ratio Defined According to Calspan TIRF?

Slip Ratio Defined According to Calspan TIRF formula is defined as a measure of the difference between the vehicle's wheel speed and its road speed, providing insight into the vehicle's traction and stability during cornering or braking maneuvers is calculated using Slip Ratio = Wheel Angular Velocity*Height of Axle above Road Surface (Loaded Radius)/(Axle Speed over Roadway*cos(Slip Angle))-1. To calculate Slip Ratio Defined According to Calspan TIRF, you need Wheel Angular Velocity (Ω_w), Height of Axle above Road Surface (Loaded Radius) (R_l), Axle Speed over Roadway (V_Roadway) & Slip Angle (α_slip). With our tool, you need to enter the respective value for Wheel Angular Velocity, Height of Axle above Road Surface (Loaded Radius), Axle Speed over Roadway & Slip Angle 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 Wheel Angular Velocity, Height of Axle above Road Surface (Loaded Radius), Axle Speed over Roadway & Slip Angle. 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

Home

FREE PDFs

🔍 Search