Problem

Solutions For Fundamentals of Physics Chapter 14 Problem 62P

Step-by-Step Solution

Solution 1

The difference of pressure \(\Delta P=180 P_{a}\)

The speed of air \((v)=?\)

The density of air \(\left(\rho_{\text {air }}\right)=0.031 \mathrm{~kg} / \mathrm{m}^{3}\)

The density of alcohol \(\rho_{e}=810 \mathrm{~kg} / \mathrm{m}^{3}\)

From Bernoulli's Theorem,

The speed of air \((v)=\sqrt{\frac{2 \Delta P}{\rho_{\text {air }}}}\)

\(=\sqrt{\frac{2 \times 180}{0.031}}\)

\(=107.76 \mathrm{~m} / \mathrm{s}\)

\(v=108 \mathrm{~m} / \mathrm{s}\)

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