User:Virusys/PHYS225


 * $$f_H = \frac{c}{2\pi}\sqrt{\frac{\sqrt{A}}{V}}$$
 * $$\sqrt{A}$$


 * $$f_H = \frac{344m/s}{2\pi}\sqrt{\frac{0.068}{0.015m^3}}$$
 * $$f_H \simeq 116.57 Hz $$


 * $$P_{monopole} = (2\pi)^3\rho c^{-1}{U_0^2}{a^4}{f^2} $$


 * $$P_{monopole} = \frac{(2\pi^3)(1.2kg/m^3)(0.04^4)(116.57^2)}{(344m/s)} $$


 * $$P_{monopole} \simeq 0.0301 W$$


 * $$P_{dipole} = P_{monopole} * \frac{2\pi^2}{3}\frac{d^2}{\lambda^2} $$


 * $$P_{monopole} \simeq 0.0482 W$$


 * $$P_{dipole} \simeq \frac{(2\pi^3)(1.2kg/m^3)(0.045^4)(219^2)}{344m/s} * \frac{2\pi^2}{3}\frac{0.09^2}{1.57^2}$$
 * $$P_{dipole} \simeq 0.170 * 0.04324 \simeq 0.0074 W $$


 * $$P = 2\pi\rho ca^2U_0^2 $$


 * $$P_{monopole} = \frac{(2\pi^3)(1.2kg/m^3)(0.04^4)(1000^2)}{(344m/s)} $$


 * $$0.005 W = \frac{(2\pi^3)(1.2kg/m^3)(0.045^4)U_0^2(110^2)}{(344m/s)} $$


 * U_0 = \sqrt{\frac{(344m/s)(0.005W)}{(2\pi^3)(1.2kg/m^3)(0.045^4)(110^2)}}