Question content area top
Part 1
Lucy's car has tires with a radius of 31 in. How many complete revolutions do her wheels make in 1 mile? (Hint: First determine how many inches are in 1 mile.) Use 3.14 for pi.
Question content area bottom
Part 1
The exact number of revolutions is
enter your response here.
(Type a whole number or a decimal rounded to the nearest hundredth as needed.)
To determine how many inches are in 1 mile, we would first convert 1 mile to inches.
1 mile = 5280 feet
1 foot = 12 inches
So, 1 mile = 5280 feet * 12 inches = 63,360 inches
Now we can find the circumference of the tire:
circumference = 2 * pi * radius
circumference = 2 * 3.14 * 31 inches
circumference ≈ 194.84 inches
To find the number of revolutions in 1 mile, we divide the total distance traveled in 1 mile by the circumference of the tire:
number of revolutions = 63,360 inches / 194.84 inches
number of revolutions ≈ 325.00
Therefore, Lucy's wheels make approximately 325 complete revolutions in 1 mile.