To find the number of rotations per second the front left tire is making, we can use a few conversion factors.
First, let's convert the speed from miles per hour to feet per second. Since 1 mile is equal to 5280 feet and there are 60 minutes in an hour, we can multiply the speed by the conversion factor:
65 miles/hour × (5280 feet/1 mile) × (1 hour/60 minutes) × (1 minute/60 seconds) = 95.333... feet/second
Next, let's find the circumference of the tire. The circumference of a circle is given by the formula:
Circumference = π × diameter
The diameter of the tire is 25 inches, so the circumference is:
Circumference = π × 25 inches
Now, we need to convert the circumference from inches to feet. Since there are 12 inches in a foot, we can divide the circumference by the conversion factor:
Circumference = (π × 25 inches) ÷ (12 inches/1 foot) = (25/12)π feet
Finally, we can find the number of rotations per second by dividing the speed by the circumference:
Rotations per second = 95.333... feet/second ÷ ((25/12)π feet) = 7.675... rotations/second
Rounded to the nearest tenth, the front left tire is making approximately 7.7 rotations per second.