Find the number of revolutions a wheel which has a radius of 1 foot would make over a 2 miles journey. Write your answer to the nearest mile.
The circumference of the wheel is 2πr = 2π(1) = 2π feet.
To find the number of revolutions the wheel would make over a 2-mile journey, we need to first find the total distance the wheel would travel in feet:
2 miles = 2 x 5280 feet = 10560 feet
Now, we can use the formula:
Number of revolutions = Total distance traveled / Circumference of the wheel
Number of revolutions = 10560 / 2π
Number of revolutions ≈ 1678 revolutions (rounded to the nearest whole number)
Therefore, the wheel would make approximately 1678 revolutions over a 2 miles journey.