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 $$(v)=\sqrt{\frac{2 \Delta P}{\rho_{\text {air }}}}$$

$$=\sqrt{\frac{2 \times 180}{0.031}}$$

$$=107.76 \mathrm{~m} / \mathrm{s}$$

$$v=108 \mathrm{~m} / \mathrm{s}$$