A solid cube material is 0.75 cm on each side. If it floats in oil of density 800 kg/m3 with one third of the block out of the oil, what is the density of the material of the cube?
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- In the experiment, Hydrostatic Pressure, explain how do you determine the hydrostatic force due to water acting partially and fully submerged surface?Determine the total force required to drag a thin plate which is placed in between two parallel plates 2.6 cm apart with the space filled with a fluid of viscosity of 0.55 Ns/m2.The area of the plate is 0.475 m2 and the speed at which it is dragged is 0.4 m/s. The position of thin plate from the top plate is 0.2 cm?Balloons are often filled with helium gas because it weighs only about one-seventh of what air weighs under identical conditions. The buoyancy force, which can be expressed as Fb = ? airgVballoon, will push the balloon upward. If the balloon has a diameter of 12 m and carries two people, 70 kg each, determine the acceleration of the balloon when it is first released. Assume the density of air is ? =1.16kg/m3, and neglect the weight of the ropes and the cage
- The truck carries an open rectangular container that is 3.9m wide, 3.0m deep and 5.0m long, contains oil of density 811kg/m³ to a depth of 2.1m. If it has a constant acceleration of 6.9m/s². Determine the total force(in kN) acting at the rear wall of the container.It is said that Archimedes discovered the buoyancy lawswhen asked by King Hiero of Syracuse to determinewhether his new crown was pure gold (SG = 19.3).Archimedes measured the weight of the crown in air to be11.8 N and its weight in water to be 10.9 N. Was it pure gold?The density of a floating body can be determined by tying weights to the body until both the body and the weights are completely submerged, and then weighing them separately in air. Consider a wood log that weighs 1400 N in air. If it takes 34 kg of lead (? = 11,300 kg/m3) to completely sink the log and the lead in water, determine the average density of the log.
- A thin plate travels between two plane, parallel, horizontal and stationary surfaces at a constant speed of 7 m/s. The two stationary surfaces are spaced 6 cm apart, and the middle is filled with oil of viscosity of 0.9 Ns/m2.The moving plate submerged in oil has a length of 2 m and a width of 0.5 m. (i) If the plate moves through the mid-plane between the surfaces, determine the force required to maintain this motion. (ii) Determine the force if the plate was 1 cm from the bottom surface and 2 cm from the top surface?Two small vessels are connected to a U-tube manometercontaining mercury(relative density 13.56) and the connectingtubes are filled with alcohol (relative density 0.82). Thevessel at the higher pressure is 2 m lower in elevation than theother. What is the pressure difference between the vessels whenthe steady difference in level of themercury menisci is 225 mm?What is the difference of piezometric head? If an inverted U-tubemanometer containing a liquid of relative density 0.74 wereused instead, whatwould be the manometer reading for thesame pressure difference?A cylindrical disk ofwood weighing 45.0 N and having adiameter of 30.0 cm floats on a cylinderof oil of density 0.850 g /cm3(Fig.). The cylinder of oilis 75.0 cm deep and has a diameterthe same as that of the wood.(a) What is the gauge pressure at thetop of the oil column? (b) Supposenow that someone puts a weightof 83.0 N on top of the wood, butno oil seeps around the edge of thewood. What is the change in pressureat (i) the bottom of the oil and(ii) halfway down in the oil?
- The density of a floating body can be determined by tying weights to the body until both the body and the weights are completely submerged, and then weighing them separately in air. Consider a wood log that weighs 1540 N in air. If it takes 34 kg of lead (r 5 11,300 kg/m3) to completely sink the log and the lead in water, determine the average density of the log.Under what conditions can a moving body of fluid be treated as a rigid body?Consider a heavy car submerged in water in alake with flat bottom. The driver's side door of the car is1.1 m high and 0.9 m wide, and the top edge of the door is10 m below: the water surface Determine the net forceacting on the door ( normal to its surface) and the locationof the pressure center if : (a) the car is well-sealed and itcontains air at atmospheric pressure and (b) the car is filledwith water. (Ans:102.5 kN)