Answer:
The speed of the watte at a radius of 3 feet is 25 ft per sec.
Step-by-step explanation:
Let s represents the speed of water and r represents the radius,
Since, the speed of water in a whirlpool varies inversely with the radius,
[tex]\implies s\propto \frac{1}{r}[/tex]
[tex]\implies s = \frac{k}{r}------(1)[/tex]
Where, k is the constant of proportionality,
Given,
When, s = 2.5 ft per sec then, r = 30 ft,
So, from equation (1),
[tex]2.5 = \frac{k}{30}[/tex]
[tex]\implies k = 75[/tex]
Again from equation (1),
The equation that shows the relation between r and s is,
[tex]s = \frac{75}{r}[/tex]
If r = 3 ft,
[tex]s=\frac{75}{3}=25\text{ ft per sec}[/tex]
