Answer:
8.98 miles/hour
Step-by-step explanation:
To find the speed of the vehicle in miles per hour, you can first convert the number of rotations per minute to the number of rotations per hour by multiplying it by 60. So, the number of rotations per hour is 800 rotations/minute * 60 minutes/hour = <<800*60=48000>>48000 rotations/hour.
Then, you can use the formula for the circumference of a circle to find the distance traveled by one of the wheels in one rotation: C = 2 * pi * r, where C is the circumference, pi is approximately 3.14, and r is the radius of the wheel. So, the circumference of each wheel is 2 * 3.14 * 16 inches = <<23.1416=100.48>>100.48 inches.
Then, you can use the formula for speed: distance traveled / time traveled. Since the distance traveled by one of the wheels in one rotation is 100.48 inches, and there are 48000 rotations per hour, the distance traveled by one of the wheels in one hour is 48000 rotations/hour * 100.48 inches/rotation = 4.81E5 inches.
To convert this distance to miles, you can divide it by the number of inches per mile: 4.81E5 inches / (12 inches/foot * 5280 feet/mile) = 8.98 miles/hour. This is the speed of the vehicle.