Problem 1: The mass of a given airplane at sea level (g = 32.1 fps2) is 10 tons. Find its mass in lb, slugs, and kg and its (gravitational) weight in lb when it is travelling at a 50,000-ft elevation. The acceleration of gravity g decreases by 3.33 x 10-6 fps2 for each foot of elevation.
Problem 2: A cylindrical drum (2-ft diameter, 3-ft height) is filled fluid whose density is 40lb/ft3. Determine (a) the total volume of fluid, (b) its total mass in pounds and slugs, (c) its specific volume, and (d) its specific weight where g = 31.90 fps2
Problem 3: If a pump discharges 75 gpm of water whose specific weight is 61.5 lb/ft3 (g = 31.95 fps2), find (a) the mass flow rate in lb/min, and (b) the total time required to fill a vertical cylinder tank 10 ft in diameter and 12 ft high.