Rolling Radius of Tire Calculator

Rolling Radius of Tire Formula:

\[ R_w = \frac{2}{3} \times R_g + \frac{1}{3} \times R_h \]

Rolling Radius of Tire (Rw):

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1. What is Rolling Radius of Tire?

The Rolling Radius of Tire is the distance from the center of the wheel to the point of contact with the road, affecting tire behavior in racing cars. It represents the effective radius when the tire is in motion under load.

2. How Does the Calculator Work?

The calculator uses the Rolling Radius formula:

\[ R_w = \frac{2}{3} \times R_g + \frac{1}{3} \times R_h \]

Where:

\( R_w \) — Rolling Radius of Tire (m)
\( R_g \) — Geometrical Radius of Tire (m)
\( R_h \) — Loaded Height of Tire (m)

Explanation: This formula provides an empirical estimation of the rolling radius by combining the geometrical radius and loaded height with specific weightings (2/3 and 1/3 respectively).

3. Importance of Rolling Radius Calculation

Details: Accurate rolling radius calculation is crucial for determining vehicle speed, gear ratios, and overall performance in racing applications. It affects traction, handling, and power delivery to the road surface.

4. Using the Calculator

Tips: Enter the geometrical radius and loaded height in meters. Both values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: Why is rolling radius different from geometrical radius?
A: Rolling radius accounts for tire deformation under load, while geometrical radius is the physical measurement of the undeformed tire.

Q2: How does rolling radius affect vehicle performance?
A: It influences the effective gear ratio, speed calculation, traction, and overall handling characteristics of the vehicle.

Q3: When should this calculation be used?
A: Primarily in racing and high-performance applications where precise tire behavior modeling is required for optimal performance.

Q4: Are there limitations to this formula?
A: This is an empirical formula and may need adjustment based on specific tire characteristics, inflation pressure, and load conditions.

Q5: How does tire pressure affect rolling radius?
A: Higher pressure generally increases rolling radius by reducing deformation, while lower pressure decreases it due to increased deformation under load.