Radioactive material is stored in a spherical vessel with a diameter of 3.7 m, and the center of the vessel is 11 m below the ground. The vessel is surrounded by a 10.2 cm thick layer of rigid foam insulation (k = 0.026 W/m-K). The radioactive material releases heat at a rate of 1000 W/m³. The surface of the soil it's buried in (k = 2 W/m- K) is exposed to wind with a temperature of 20°C and a convection coefficient of 17 W/m³-K. What is the temperature of the surface of the tank?

A cast iron pipe (k = 80 W/m - oC) whose inner and outer diameters are 5 cm and 5.5 cm respectively is coverd with a 3 cm thick glass wool insulation (k = 0.05 W/m - oC) The temperature at the inner surface of the pipe is 320 oC and the interface temperature between the pipe and insulation is 300 oC. Determine the surface temperature of the insulation.

The wall of an oven in an industrial plant, made of fire brick (k = 0.71 W/m/K) has thickness of L = 15 cm. The oven is exposed to air at 28oC and the surfaces of the far surroundings are at 20oC. If the temperature of the outer surface of the wall is 92oC and the heat transfer coefficient and emissivity are 20 W/(m^2*K) and 0.8 respectively, determine the temperature of the inner surface of the wall.

dsphere dbar • Given the above system, two spheres attached to the ends of a cylinder, determine the mass moment of inertia about the axis normal to the page as a function of the variables provided. Note, you can treat the masses of each element of the system as known o (msphere and mbar). After deriving an expression for the mass moment of inertia about the axis normal to the page as a function of the variables, calculate the mass moment of inertia given: osphere properties ▪ mass of sphere = 5 kg 1 diameter of sphere = 0.5 m bar properties ▪ • Determine the resultant force and moment acting on the system if the system is moving as follows: mass of bar = 25 kg length of bar = 7.5 m diameter of bar = 0.25 m O a = 5î+ 2ĵ m/s² O αG = 7k rad/s² ασ