Consider a tornado as air moving in a circular pattern in the horizontal plane. If the wind speed is 200 mph and the diameter of the tornado is 200 ft, determine the radial pressure gradient. If it is desired to model the tornado using water in a 6 in. diameter tube, what speed is needed to give the same radial pressure gradient?

At steady state, air at 200 kpa, 325 k, and mass flow rate of 0.5 kg/s enters an insulated duct having differing inlet and exit cross-sectional areas. the inlet cross-sectional area is 6 cm2. at the duct exit, the pressure of the air is 100 kpa and the velocity is 250 m/s. neglecting potential energy effects and modeling air as an 1.008 kj/kg k, determine ideal gas with constant cp = (a) the velocity of the air at the inlet, in m/s. (b) the temperature of the air at the exit, in k. (c) the exit cross-sectional area, in cm2