Consider a tube for transporting steam that is not centered properly in a cylindrical insulation material (k = 0.73 W/m∙K). The tube diameter is D1 = 20 mm and the insulation diameter is D2 = 40 mm. The distance between the center of the tube and the center of the insulation is z = 5 mm. If the surface of the tube maintains a temperature of 100°C and the outer surface temperature of the insulation is constant at 30°C, determine the rate of heat transfer per unit length of the tube through the insulation.

What precautions should you take to prevent injuries when dealing with heavy loads?

Aloaded platform of total mass 500 kg is supported by a dashpot and by a set of springs of effective stiffness 72 kn/m. it is observed that when the platform is depressed through a distance x = 12.5 cm below its equilibrium position and then released without any initial velocity; it reaches its equilibrium position in the shortest possible time without overshoot. find the position and velocity of the loaded platform 0.10 sec. after its release. if a further load of 400 kg is added to the platform, find, i) the frequency of damped vibrations, and i) the amplitude of vibration after 2 complete oscillations, given that the initial amplitude is 15 cm.

Refrigerant 134a enters an insulated compressor operating at steady state as saturated vapor at -26°c with a volumetric flow rate of 0.18 m3/s. refrigerant exits at 9 bar, 70°c. changes in kinetic and potential energy from inlet to exit can be ignored. determine the volumetric flow rate at the exit, in m3/s, and the compressor power, in kw.