The Leary Engineering Company (see Popular Science, November 2000, p. 14) has proposed a ship hull with hinges that allow it to open into a flatter shape when entering shallow water. A simplified version is shown in Fig. D2.3. In deep water, the hull cross section would be triangular, with large draft. In shallow water, the hinges would open to an angle as high as
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Fluid Mechanics
- A tiny steel cube is suspended in water by a string. If the lengths of the sides of the cube are very small, how would you compare the magnitudes of the pressures on the top, bottom, and side surfaces of the cube?arrow_forwardA force sensor is immersed in a iquid with a density of 61 lb/ to a depth of 42 in and then placed in a second liquid with a density of 732 N/. What is the change in force on the sender if the diameter of the sensor is 8 cm and the change in depth is 5.9 cm?arrow_forwardA metal block 2 ft square and 10 in. deep is floated on a body of liquid which consists of an 8-in layer of water above a layer of mercury. The block weighs 120 lb/ft3. What is the position of the bottom of the block? If a downward vertical force of 500 lb is applied to the center of this block, what is the new position of the bottom of the block ?arrow_forward
- If the rectangular tank full of water in Fig. P3.37 has itsright-hand wall lowered by an amount δ , as shown, waterwill fl ow out as it would over a weir or dam. we deduced that the outfl ow Q would be given byQ = C b g1/2δ3/2where b is the tank width into the paper, g is the accelerationof gravity, and C is a dimensionless constant. Assumethat the water surface is horizontal, not slightly curved as inthe fi gure. Let the initial excess water level be δ o . Derive aformula for the time required to reduce the excess waterlevel to ( a ) δ o /10 and ( b ) zero.arrow_forwardat height of 10 km (33000 ft) above sea level atmospheric pressure is about 210 mm of mercury. what is the resultant normal force on 600 cm^2 window of an airplane flying at this height? assume the pressure inside the plane is 760 mm of mercury. the density of mercury is 13600 kg/m^3arrow_forwardCalculate the force acting on a 30-cm diameter porthole of a ship if the center of the porthole is 14 m below water level.arrow_forward
- Assuming specific weight of air to be constant at 12 N/cu.m, what is the approximate height of Mount Banahaw if a mercury barometer at the base of the mountain reads 654 mm and at the same instant, another barometer at the top of the mountain reads 480 mm?arrow_forwardIn Fig. , vertical, unsymmetrical trapezoidal panelABCD is submerged in fresh water with side AB 12 ft belowthe surface. Since trapezoid formulas are complicated,( a ) estimate, reasonably, the water force on the panel, in lbf,neglecting atmospheric pressure. For extra credit, ( b ) lookup the formula and compute the exact force on the panel.arrow_forwardA circular plate of radius 2ft is lowered to a liquid (w=1000 lb/ft^3) so that its center is 4 ft below the surface. Find the force on the lower half of the plate.arrow_forward
- A 5-gal, cylindrical open container with a bottom area of 120 in^2 is filled with water and rests on the floor of an elevator. If cylindrical container is accelerated upward at 3 ft/s^2, what resultant force does the container exert on the floor of the elevator during this acceleration? The weight of the container is negligible. (Note: 1 gal = 231 in^3)arrow_forwardAn open cylindrical tank is 1.3 m in diameter and 2.1 m high, is 3/5 full of water If the tank is rotated about its vertical axis, what speed should it have (in rpm) so that there is no water at the bottom within 36 cm from the vertical axis?arrow_forwardA closed cylindrical vessel, 2m in diameter & 4m high is fully filled with water & rotated to its vertical axis at a constant speed of 12.2 rad/sec. The top is pressurized by 180 KPa. (a) What is the pressure at the center bottom of the cylinder? (b) What is the pressure at the circumference bottom of the cylinder? (c) What is the total hydrostatic force at the sides of the cylinder?arrow_forward
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