Water flows through a tee in a horizontal pipe system. The velocity in the stem of the tee is \(15 \mathrm{ft} / \mathrm{s}\), and the diameter is \(12 \mathrm{in}\). Each branch is of 6 in. diameter. If the pressure in the stem is \(20 \mathrm{psi}\), calculate magnitude and direction of the force of the water on the tee if the flow rates in the branches are the same.