Water is to be moved from a large, closed tank in which the air pressure is \(20 \mathrm{psi}\) into a large, open tank through \(2000 \mathrm{ft}\) of smooth pipe at the rate of \(3 \mathrm{ft}^{3} / \mathrm{s}\). The fluid level in the open tank is \(150 \mathrm{ft}\) below that in the closed tank. Determine the required diameter of the pipe. Neglect minor losses.