To solve this problem, we need to determine how many full turns the bicycle's wheel makes to cover a distance of 800 meters.

Steps:

1. Calculate the circumference of the wheel: The circumference $C$ of a circle is given by the formula: $C = 2\pi r$ where $r$ is the radius of the wheel and $\pi \approx 3.1416$.

   Given: $r = 0.35 \, \text{meters}$ Substituting into the formula: $C = 2 \times 3.1416 \times 0.35$

2. Determine the number of turns: To find how many full turns the wheel makes, divide the total distance traveled by the circumference of the wheel: $\text{Number of turns} = \frac{\text{Distance}}{\text{Circumference}} = \frac{800}{C}$

Let me calculate this for you.The wheel will need to make approximately 363.78 full turns to cover a distance of 800 meters.

Would you like more details or further clarifications?

Here are some related questions you might find interesting:

1. What if the radius of the wheel was 0.5 meters? How many turns would it take?
2. How would the answer change if the distance traveled was 1 kilometer instead?
3. What is the relationship between wheel radius and the number of turns for a given distance?
4. How many turns would it take to cover 1 mile if the radius remained 0.35 meters?
5. How can the distance per wheel rotation be maximized?

Tip: The circumference of a circle increases linearly with the radius, so a larger wheel will cover more distance per rotation.