Final answer:
To find the diameter of the wheel in inches, convert the distance traveled from feet to inches. Then, find the distance traveled per rotation and use the formula for the circumference of a circle to solve for the radius. Finally, double the radius to find the diameter of the wheel.
Step-by-step explanation:
To find the diameter of the wheel in inches, we first need to convert the distance traveled from feet to inches. Since 1 foot is equal to 12 inches, the bicycle travels 43.18 ft * 12 in/ft = 518.16 inches.
Next, we need to find the distance traveled per rotation of the wheel. Since the wheel makes 5 rotations, the distance traveled per rotation is 518.16 in / 5 = 103.632 inches.
Finally, to find the diameter of the wheel, we can use the formula for the circumference of a circle: C = 2 * π * r, where C is the circumference and r is the radius. The distance traveled per rotation is equal to the circumference, so we can solve for the radius:
103.632 in = 2 * 3.14 * r
Dividing both sides by 6.28, we get r ≈ 16.5 inches. Since the diameter is twice the radius, the diameter of the wheel is approximately 33 inches.