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Chapter 10: Q43P (page 260)

(I)How fast does water flow from a hole at the bottom of a very wide, 4.7-m-deep storage tank filled with water? Ignore viscosity.

Short Answer

Expert verified

The speed of water flowing from the hole at the bottom is \(9.6\;{\rm{m/s}}\).

Step by step solution

01

Understanding Torricelli’s theorem

In this problem, the speed of the water flow from a hole can be calculated by the applying Torricelli鈥檚 theorem.

02

Given data

The height of storage tank is \(h = 4.7\;{\rm{m}}\).

03

Calculation of speed of the water

According to Torricelli鈥檚 equation,

\(v = \sqrt {2gh} \)

Here, g is the gravitational acceleration.

Substitute the values in the above relation.

\(\begin{array}{c}v = \sqrt {2 \times \left( {9.8\;{\rm{m/}}{{\rm{s}}^2}} \right)\left( {4.7\;{\rm{m}}} \right)} \\v = 9.6\;{\rm{m/s}}\end{array}\)

Hence, the speed of water is \(9.6\;{\rm{m/s}}\).

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