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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
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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 what js the speed of the water at a radius of 3 feet?
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Mathematics
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2021-08-10T20:42:33+00:00
2021-08-10T20:42:33+00:00 1 Answers
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Answer:
25 feet per second.
Step-by-step explanation:
Let s represent the speed of the water and r represent the radius of the whirlpool.
The speed in a whirlpool varies inversely with the radius. Therefore, we can write that:
Where k is 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 when r = 30. Substitute:
Solve for k:
So, our equation is:
Then when the radius is three feet, r = 3. Evaluate for s:
So, the speed of the water in a whirlpool with a radius of three feet is 25 feet per second.