(Buoyancy, force on plane surface) A cube, 3.5 ft on a side, weighs 3190 lb and floats half- submerged in an open tank as shown in the figure below. For a liquid depth of 10.8 ft, determine (a) the magnitude and (b) the location of the force of the liquid on the inclined section AB of the tank wall. The width of the wall is 8.7 ft. Show the magnitude, direction, and location of the force on a sketch. 10.8 ft (a) FR = enterline YR= es 3.5 ft Liquid Cube A 27° lb on Wall width ft along

A small boat weighing 40 LT has a submerged volume of 875 ft3 when traveling at 20knots in seawater. (ρ = 1.99 lb-s2/ft4 ; 1 LT = 2240 lb) a. Calculate the magnitude of the hydrostatic support being experienced by boat.b. What other type of support is the boat experiencing?c. Calculate the magnitude of this other type of support.d. What will happen to the submerged volume of the boat if it slows to 5 knots? Explain your answer.

Consider the pressurized horizontal pipe network consisting of three pipes arranged in series. The characteristics of each pipe are summarized in the table. The flow of water at Node A is Q = 5 cfs and the pressure head at Node A is yA = 200 feet. The temperature of the water is 60° F. a) Determine the friction head loss hfric in feet in Pipe 1. b) Determine the friction head loss hfric in feet in Pipe 2. c) Determine the friction head loss hfric in feet in Pipe 3. d) Determine the pressure head ys in feet at Node B. e) Determine the pressure head yc in feet at Node C. f) Determine the pressure head yo in feet at Node D. Flow Friction Pressure Diameter Length Friction (feet) (cfs) head Нead Pipe (inches) factor f Kpipe loss (feet) Node (feet) 1 16 500 0.011 5 A 200 2 12 1000 0.013 B 3 10 750 0.015 D Node Node Node Node A в D 5 cfs 5 cfs Pipe 1 Pipe 2 Pipe 3