To calculate the linear speed of a vehicle based on wheel diameter and rotation speed, the formula used is diameter (in meters) multiplied by π, then multiplied by revolutions per minute (rev/min), and finally adjusted to convert to kilometers per hour. For a wheel diameter of 1.075 meters rotating at 300 rev/min, the calculated speed is approximately 60.79 km/h, though this was initially deemed incorrect. A discussion participant confirmed that significant figures might affect the results when entering answers in systems like WebAssign. Another example from a textbook calculated a linear speed of 63.36 km/h for wheels with a diameter of 600 mm at 560 rev/min, while a participant's calculation was slightly different at 63.3345079 km/h. The conversation highlights the importance of precision and understanding the relationship between linear speed and wheel rotation.