Answer:
Juan travel 31.4 feet farther than Fred in one rotation.
Step-by-step explanation:
In this problem we need to determine the change in linear position of Fred and Juan, whose formula is:
(Eq. 1)
Where:
- Radius, measured in feet.
- Angular arch, measured in radians.
- Change in linear position, measured in feet.
If both makes one rotation in the carousel, we obtain the change in linear position of each player:
Fred (,
)
Juan (,
)
And the difference between both travelled distances is:
Juan travel 31.4 feet farther than Fred in one rotation.