The A-36 solid steel shaft is 3.3 m long and has a diameter of 50 mm. It is required to transmit 35 kW of power from the engine E to the generator G. The shear modulus of elasticity for A-36 steel is 75 GPa

Determine the smallest angular velocity of the shaft if it is restricted not to twist more than 1°.

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