   Chapter 9, Problem 44P

Chapter
Section
Textbook Problem

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 × 10−3m3/min, determine (a) the speed at which the water levels the hole and (b) the diameter of the hole.

(a)

To determine
The speed at which the water leaves the hole.

Explanation
Use Bernoulli’s equation for the speed of water leaving the hole that located below the surface of the water. Assuming that the speed of water at top of the opening is v10m/s . Now the equation becomes as (1/2)ρvh2+ρgyh=ρgyt since Pt=PhPatm and the speed of the water that leaving is vh=2g(ytyh)=2gh .

Given info: The acceleration due to gravity is 9.80m/s2 and the distance of the hole from top of the tank is 16.0m

(b)

To determine
The diameter of the hole.

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