Final answer:
The front wheels of the car had to turn approximately 91530 times to cover a distance of 100 miles in two hours with an average velocity of 50 miles per hour. The radius of the car's wheels is 28 cm.
Step-by-step explanation:
To find the number of times the front wheels of the car had to turn, we need to determine the distance they covered in two hours. The average velocity of the car is given as 50 miles per hour. Therefore, in two hours, the car travels a distance of 100 miles (50 miles/hour * 2 hours).
To calculate the number of times the front wheels turned, we need to find the distance covered by one revolution of the wheels. The circumference of a circle is given by 2πr, where r is the radius. In this case, the radius of the car's wheels is 28 cm. Converting the radius to meters (0.28 m), we can calculate the distance covered by one revolution as 2π * 0.28 = 1.76 m.
Since the car travels 100 miles (160.934 km), we can find the number of wheel revolutions by dividing the total distance by the distance covered by one revolution: (160.934 km * 1000 m/km) / 1.76 m = 91529.55 revolutions. Therefore, the front wheels had to turn approximately 91530 times to cover the given distance.