Answer:
<h2>He will travel 2,826 yards approximately, after the wheel completes 1,000 rotations.</h2>
Step-by-step explanation:
How far it travels refers to the arc length of the circular movement.
The arc length is defined as
Where is the angle of rotation and is the radius of the circle.
Now, from the problem we know that the wheel completes 1,000 rotations. We also now that 1 rotation is , this means that 1,000 rotations would be
On the other hand, we know that the circumference is 0.9 yards, that means the radius is half of it, by definition
Replacing all values, we have
But, , then
Therefore, he will travel 2,826 yards approximately, after the wheel completes 1,000 rotations.