A round steel silo 5 m in diameter is filled with soybean at a moisture content of 12% (w.b.) to a height of 10 meters as the shown in the figure below. The static coefficient of friction, for soybean is 0.2. The angle of internal friction is 25. The bulk density of sorghum is 800 kg/m. (a) Determine the lateral pressures at the base of the silo wall (10 points). (b) The soybean in the silo is unloaded through a square orifice 10 cm x 20 cm vertically located at the bottom of the silo. Assume the flow rate will be constant during unloading. Estimate the total time required to unload all soybean in the silo. The coefficients in the equation for calculating the volumetric flow rate are C -0.016 and n=0.76. (10 points) (c) The soybean is emptied at the volumetric flow rate determined by Question (b) to a conveyer belt. The pile has a shape as shown below. The width of the belt is 50 cm. The piling angle of repose for soybean is 16. What is the minimum speed of the belt in m/s so that the soybean will not fell from the belt? (10 points) Discharging orifice Moving conveyer belt- Silo Soybean 8-16