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## The speed of the water in a whirlpoil varies inversely with the radius. if the water speed is 2.5 feet per second at a radius of 30 feet wha

Question

The speed of the water in a whirlpoil varies inversely with the radius. if the water speed is 2.5 feet per second at a radius of 30 feet what js the speed of the water at a radius of 3 feet?

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Mathematics
5 months
2021-08-10T20:42:33+00:00
2021-08-10T20:42:33+00:00 1 Answers
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## Answers ( )

Answer:25 feet per second.

Step-by-step explanation:Let

srepresent the speed of the water andrrepresent the radius of the whirlpool.The speed in a whirlpool varies inversely with the radius. Therefore, we can write that:

Where

kis the constant of variation.We know that the speed is 2.5 feet per second when the radius is 30 feet.

So,

s= 2.5 whenr= 30. Substitute:Solve for

k:So, our equation is:

Then when the radius is three feet,

r= 3. Evaluate fors:So, the speed of the water in a whirlpool with a radius of three feet is 25 feet per second.