2 The motion of an oscillating flywheel is defined by the relation θ = θ0e–3πt cos 4πt, where θ is expressed in radians and t in seconds. Knowing that θ0 = 0.5 rad, determine the angular coordinate, the angular velocity, and the angular acceleration of the flywheel when (a) t = 0, (b) t = 0.125 s

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