1.The diameter of the disk is 1m, and the length of bar AB is 1m. The disk is rolling, and point B slides on the plane surface. Determine the angular velocity of bar AB and the veolocity of point B.
2.Quartz, the primary mineral in sandstone, has a density of 2.65 g/cm^3 . A typical porosity for sandstone is 28% and a reasonable residual water content is 2%. Find the mass of a 0.75m^ 3 block o f sandstone for the following conditions:
a) Totally dry
b) Fully saturated
c) Recently drained
3.A new disinfection process destroys coliform organisms in water using completely mixed flow reactor. the reaction is first order with k=1.0 per day. The influent concentration is 100 coli/ml. The reactor volume is 400L, and the flow rate (Q) is 1,600L/d. What is the effluent concentration coliforms? (Q=flow rate)