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Contents of the Tire Rolling and Slipping PDF

List of 16 Tire Rolling and Slipping Formulas

Gradient Resistance of Vehicle
Lateral Slip Velocity
Longitudinal Slip Velocity
Roll rate or Roll stiffness
Rolling Radius of Tire
Rolling Resistance at Wheels
Rolling Resistance Coefficient
Slip of Tire
Slip Ratio Defined According to Calspan TIRF
Slip Ratio Defined According to Goodyear
Slip Ratio Defined According to SAE J670
Slip Ratio given Longitudinal Slip Velocity and Velocity of Free Rolling Wheel
Slip Ratio given Velocity of Driven Wheel and Free Rolling Wheel
Traction Force Required to Climb Curb
Tractive Effort in Multi-Geared Vehicle at any given Gear
Wheel rate given Roll rate

Variables used in Tire Rolling and Slipping PDF

  1. a Track Width of Vehicle (Meter)
  2. av Distance of Opposing Torque from Vertical (Meter)
  3. Fg Gradient Resistance (Newton)
  4. fr Rolling Resistance Coefficient
  5. Fr Rolling Resistance at Wheel (Newton)
  6. Ft Tractive Effort in Multi-geared Vehicle (Newton)
  7. g Acceleration due to Gravity (Meter per Square Second)
  8. G Weight on Single Wheel (Newton)
  9. ig Gear Ratio of Transmission
  10. io Gear Ratio of Final Drive
  11. Kt Wheel Rate of Vehicle (Newton per Meter)
  12. KΦ Roll Rate/ Roll Stiffness (Newton Meter per Radian)
  13. Mv Vehicle Weight in Newtons (Newton)
  14. P Normal Load on Wheels (Newton)
  15. r Effective Wheel Radius (Meter)
  16. R Traction Force required to Climb Curb (Newton)
  17. rd Effective Radius of Wheel (Meter)
  18. Re Effective Rolling Radius for Free Rolling (Meter)
  19. Rg Geometrical Radius of Tire (Meter)
  20. Rh Loaded Height of Tire (Meter)
  21. Rl Height of Axle above Road Surface (Loaded Radius) (Meter)
  22. Rw Rolling Radius of Tire (Meter)
  23. sltd Longitudinal Slip Angular Velocity (Radian per Second)
  24. SR Slip Ratio
  25. Tp Torque Output of Vehicle (Newton Meter)
  26. v Forward Velocity of Vehicle (Meter per Second)
  27. VB Circumferential Velocity of Tire under Traction (Meter per Second)
  28. vlateral Lateral Slip Velocity (Meter per Second)
  29. vlongitudinal Longitudinal Slip Velocity (Meter per Second)
  30. VRoadway Axle Speed over Roadway (Meter per Second)
  31. α Angle of Inclination of Ground from Horizontal (Radian)
  32. αslip Slip Angle (Radian)
  33. ηt Transmission Efficiency of Vehicle
  34. θ Angle between Traction Force and Horizontal Axis (Radian)
  35. λ Slip of Tire
  36. ω Vehicle Wheel Angular Velocity (Radian per Second)
  37. Ω Angular Velocity of Driven or Braked Wheel (Radian per Second)
  38. Ω0 Angular Velocity of Free Rolling Wheel (Radian per Second)
  39. Ωw Wheel Angular Velocity (Radian per Second)

Constants, Functions and Measurements used in Tire Rolling and Slipping PDF

  1. Function: cos, cos(Angle)
    Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.
  2. Function: sin, sin(Angle)
    Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.
  3. Measurement: Length in Meter (m)
    Length Unit Conversion
  4. Measurement: Speed in Meter per Second (m/s)
    Speed Unit Conversion
  5. Measurement: Acceleration in Meter per Square Second (m/s²)
    Acceleration Unit Conversion
  6. Measurement: Force in Newton (N)
    Force Unit Conversion
  7. Measurement: Angle in Radian (rad)
    Angle Unit Conversion
  8. Measurement: Surface Tension in Newton per Meter (N/m)
    Surface Tension Unit Conversion
  9. Measurement: Angular Velocity in Radian per Second (rad/s)
    Angular Velocity Unit Conversion
  10. Measurement: Torque in Newton Meter (N*m)
    Torque Unit Conversion
  11. Measurement: Torsion Constant in Newton Meter per Radian (Nm/rad)
    Torsion Constant Unit Conversion

Free Tire Rolling and Slipping PDF

Get Free Tire Rolling and Slipping PDF for Download today. Examples are included after each Formula with a link to a live Calculator! All the Formulas and Calculators support Unit Conversion as well. This PDF features 16 calculators from Race Car Vehicle Dynamics. Inside, you'll discover a list of formulas such as Rolling Radius of Tire, Rolling Resistance Coefficient and 16 more formulas!. The Variables, Functions and Constants are summarized at the end. Explore and share Tire Rolling and Slipping PDFs!

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