To find the number of revolutions per minute that the wheels of the car are rotating, we need to use the information provided and convert the units accordingly. Here are the steps to solve this problem:
Step 1: Convert the rate from miles per hour to feet per hour.
Since the diameter of the wheels is given in feet, we need to work with the same unit of measurement. There are 5,280 feet in a mile, so we can convert the rate by multiplying it by 5,280.
65 miles/hour * 5,280 feet/mile = 343,200 feet/hour
Step 2: Calculate the distance traveled by the car in one minute.
To find the distance traveled in one minute, we need to divide the distance per hour by 60 since there are 60 minutes in an hour.
343,200 feet/hour รท 60 minutes/hour = 5,720 feet/minute
Step 3: Calculate the circumference of the wheels.
The circumference of a circle can be calculated using the formula: Circumference = ฯ * diameter. Given that the diameter of the wheels is 2.5 feet, we can find the circumference by multiplying it by ฯ (approximately 3.14159).
Circumference = 3.14159 * 2.5 feet = 7.85475 feet
Step 4: Calculate the number of revolutions per minute.
We can find the number of revolutions per minute by dividing the distance traveled in one minute by the circumference of the wheels.
Number of revolutions per minute = Distance traveled in one minute รท Circumference of the wheels
Number of revolutions per minute = 5,720 feet/minute รท 7.85475 feet = 729.265
Therefore, the wheels of the car are rotating approximately 729.265 revolutions per minute.