Avalve on a hot water line is opened just enough to allow a flow of 0.06 fps. the feed water is maintained at 180⁰f and the inside wall of the ½ in schedule 40 water line is at 80⁰f. what is the heat loss through 5 ft of water line under these conditions? what is the exit water temperature?

Asimple speed reducer is composed of 2 spur gears. the pinion gear has a pitch diameter of 0.75" and 36 teeth while the driven gear has a pitch diameter of 4.0" and 192 teeth. a)-what is the diametral pitch of each gear? b)-if an electric motor rotating ccw at 3000 rpm is coupled to the pinion, what is the rotational speed of the driven gear? c)-if the torque delivered to the pinion is 1 n-m, what is the torque on the driven gear? d)-what is the power transmitted by the gear train?