Final answer:
To find the linear distance between each two adjacent teacups on the teacup ride, calculate the circumference of the circle formed by the teacups and divide it by the number of cups.
Step-by-step explanation:
To find the linear distance between each two adjacent teacups on the teacup ride, we need to calculate the circumference of the circle formed by the teacups. The circumference of a circle can be found using the formula πd, where d is the diameter of the circle. In this case, the diameter of the circle is twice the length of the arm, so it is 2 * 25 ft = 50 ft.
Using the formula, the circumference of the circle is π * 50 ft = 50π ft.
Since there are equal spaces between each teacup on the circle, the linear distance between each two adjacent cups is equal to the circumference divided by the number of cups. Let's say there are n cups. Then, the linear distance between each two adjacent cups is (50π ft) / n.