Question

In a 5K one mile wheelchair race, one competitor used a front wheel which converted the wheelchair into a racing tricycle. If the two large wheels have a diameter of 18", and the diameter of the added front wheel is ¾ that diameter, how many more revolutions does it make during the one mile race?​

Answer 1

The front wheel makes approximately 966.3 revolutions more than the large wheels during the one mile race.

Step-by-step explanation:

The diameter of the two large wheels is 18 inches. The diameter of the added front wheel is 3/4 of that, which is 18 * (3/4) = 13.5 inches. To find the circumference of each wheel, we multiply the diameter by pi (π). The circumference of the large wheels is 18 * π inches and the circumference of the front wheel is 13.5 * π inches.

Since the race is one mile long, which is equal to 5280 feet or 63360 inches, we can find the number of revolutions of each wheel by dividing the distance by the circumference. The large wheels make 63360 inches / (18 * π inches) revolutions, and the front wheel makes 63360 inches / (13.5 * π inches) revolutions.

To find the difference in revolutions, subtract the number of revolutions made by the large wheels from the number of revolutions made by the front wheel.

The front wheel makes approximately 966.3 revolutions more than the large wheels during the one mile race.