Calculating Car Tire Revolutions at 45mph

TLDR; Calculate the number of revolutions per second for a car tire spinning at 45 miles per hour.

⏱️ Determining the Given Information

The car tire has 14-inch rims and a 4-inch thickness, making the diameter of the tire 14 inches.

The radius of the tire, which is crucial for this problem, is 11 inches.

The task is to determine the speed of the tire in revolutions per second when the car is traveling at 45 miles per hour.

⚙️ Converting Units

Converting 45 miles per hour into inches per second involves multiple unit fraction conversions.

Miles are converted to feet, then feet to inches. Hours are converted to minutes, then minutes to seconds.

The resulting speed when traveling 45 miles per hour is 792 inches per second.

🔄 Calculating Revolutions

The speed in inches per second is divided by the distance traveled by one revolution of the tire, which is the circumference of the tire (2πr).

After using a calculator to perform the necessary multiplication and division, it is determined that the car tire spins at roughly 11.46 revolutions per second when the car is traveling at 45 miles per hour.