Final answer:
Each wheel makes approximately 137.5 complete revolutions in 10 minutes when the car is traveling at a speed of 66 km/h.
Step-by-step explanation:
To calculate the number of complete revolutions made by each wheel in 10 minutes, we need to determine the linear speed of the car in cm/min and then divide it by the circumference of the wheel.
The linear speed of the car is 66 km/h, which is equivalent to 66,000 cm/h. To convert this to cm/min, we divide it by 60, resulting in a linear speed of 1,100 cm/min.
The circumference of each wheel is given as 80 cm. Therefore, to find the number of complete revolutions, we divide the linear speed (1,100 cm/min) by the circumference of the wheel (80 cm). This gives us 13.75 rotations per minute. Since the question asks for the number of complete revolutions in 10 minutes, we multiply the rotations per minute by 10, resulting in 137.5 complete revolutions. Therefore, each wheel makes approximately 137.5 complete revolutions in 10 minutes when the car is traveling at a speed of 66 km/h.