A large storage tank, open to the atmosphere at the top and filled with water, develops a small hole in its side at a point 16.0 m below the water level. If the rate of flow from the leak is 2.50 x 10-3 m3 /min, determine (a) the speed at which the water leaves the hole and (b) the diameter of the hole.

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Asked Dec 23, 2019
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A large storage tank, open to the atmosphere at the top and filled with water, develops a small hole in its side at a point 16.0 m below the water level. If the rate of flow from the leak is 2.50 x 10-3 m3 /min, determine (a) the speed at which the water leaves the hole and (b) the diameter of the hole.

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Expert Answer

Step 1

(a) Using the Bernoulli’s equation at the top and the hole.

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[R = P, R+pr; + pgh = P, +pv + pgh, R+pr =R+pr - pg(4, – 4) pv + pg(h, - h) [½-4 = h] [4 - = || [1] 1; = /2 gh

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Step 2

Substitute the value in equation (1) to find the speed at which the water leaves the hole.

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2(9.8m/s°)(16.0 m) 1V = = 17.70m/s

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Step 3

(b) The rate of...

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= Av, Vịt [2]

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