A 1020 cold-drawn steel shaft is to transmit 20 hp while rotating at 1750 RPM. Determine the minimum diameter for the shaft to support the required torque T with a minimum factor of safety of 3 based on the MSS theory. It may be helpful to recall that the power in a rotating shaft is given by H = T, and unit conversion will be necessary.

Water in a partially filled large tank is to be supplied to the roof top, which is 8 m above the water level in the tank, through a 2.2-cm-internal-diameter pipe by maintaining a constant air pressure of 300 kpa (gage) in the tank. if the head loss in the piping is 2 m of water, determine the discharge rate of the supply of water to the roof top in liters per second.