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The Angular Velocity of Free Rolling Wheel is the speed at which a wheel rotates around its axis when it is not driven by a torque. This represents the natural rotational speed of a wheel moving without external driving or braking forces.
The calculator uses the formula:
Where:
Explanation: This formula calculates the free rolling angular velocity by accounting for the slip ratio, which represents the difference between the actual wheel speed and the theoretical free-rolling speed.
Details: Accurate calculation of free rolling angular velocity is crucial for vehicle dynamics analysis, tire behavior modeling, and understanding the relationship between driven/braked wheel performance and natural wheel rotation.
Tips: Enter the angular velocity of the driven or braked wheel in rad/s and the slip ratio (unitless). Both values must be valid (angular velocity > 0, slip ratio ≥ 0).
Q1: What is slip ratio in vehicle dynamics?
A: Slip ratio is the ratio of the difference between the tire's rotational speed and its translational speed to its translational speed, indicating the degree of slip between the tire and road surface.
Q2: How does slip ratio affect wheel angular velocity?
A: Higher slip ratios indicate greater differences between driven/braked wheel speed and free rolling speed, affecting traction, vehicle stability, and tire wear.
Q3: When is this calculation most important?
A: This calculation is particularly important in racing applications, vehicle testing, and tire performance analysis where precise understanding of wheel dynamics is required.
Q4: Are there limitations to this formula?
A: The formula provides a simplified model and may not account for all real-world factors such as tire deformation, road surface conditions, or extreme operating conditions.
Q5: What units should be used for angular velocity?
A: Angular velocity should be measured in radians per second (rad/s) for consistent results with this formula.