Home Back

Slip Ratio Given Velocity Of Driven Wheel And Free Rolling Wheel Calculator

Slip Ratio Formula:

\[ SR = \frac{\Omega}{\Omega_0} - 1 \]

rad/s
rad/s

Unit Converter ▲

Unit Converter ▼

From: To:

1. What is 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. It's a crucial parameter in vehicle dynamics and tire performance analysis.

2. How Does the Calculator Work?

The calculator uses the Slip Ratio formula:

\[ SR = \frac{\Omega}{\Omega_0} - 1 \]

Where:

Explanation: The slip ratio quantifies the relative difference between the actual rotational speed of a driven or braked wheel and the rotational speed it would have if it were freely rolling.

3. Importance of Slip Ratio Calculation

Details: Accurate slip ratio calculation is essential for optimizing vehicle traction, braking performance, and stability control systems. It helps in understanding tire-road interaction and maximizing grip in various driving conditions.

4. Using the Calculator

Tips: Enter both angular velocity values in radians per second. Both values must be positive and greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What does a positive slip ratio indicate?
A: A positive slip ratio typically indicates wheel spin during acceleration, where the driven wheel rotates faster than it would in free rolling conditions.

Q2: What does a negative slip ratio indicate?
A: A negative slip ratio usually indicates wheel lock during braking, where the braked wheel rotates slower than it would in free rolling conditions.

Q3: What is the ideal slip ratio for maximum traction?
A: The ideal slip ratio varies by tire and surface conditions, but typically falls between 10-20% for maximum acceleration traction and around -10% to -20% for maximum braking efficiency.

Q4: How is slip ratio used in vehicle control systems?
A: Anti-lock braking systems (ABS) and traction control systems (TCS) use slip ratio measurements to prevent wheel lock-up during braking and wheel spin during acceleration, respectively.

Q5: Can slip ratio be greater than 1?
A: Yes, slip ratio can exceed 1, particularly during aggressive acceleration where the driven wheel rotates significantly faster than the free-rolling condition would allow.

Slip Ratio Given Velocity Of Driven Wheel And Free Rolling Wheel Calculator© - All Rights Reserved 2025