Determine the rate of change of density (p = 692 kPa, T = 29 C°, volume 0.0

A cube with edges of length L = 0.23 m and density ρc = 3.4×103 kg/m3 is totally submerged in water, with a density of ρw = 1.00×103 kg/m3, and oil, with a density of ρo = 0.82×103 kg/m3, as shown in the figure. The cube is submerged in the water to a depth of d = 0.065 m, while the rest of the cube is in oil. The cube is suspended by a taut string and is in static equilibrium. a) Calculate the magnitude of the buoyant force, in newtons.  b) Enter an expression for the tension in the string, in terms of the defined quantities and g.

A hot air filled balloon of 8m diameter is used to support a platform. The surrounding airis at 20° C and 1 bar while the hot air inside the balloon is at a temperature of 70° C.Determine the buoyant force and the weight that may be supported by the balloon.

Consider a frictionless, massless and leak-proof plug blocking a rectangular hole of dimensions 2Rx Lat the bottom of an open tank as shown in the figure. The head of the plug has the shape of a semi-cylinder of radius R. The tank is filled with a liquid of density p up to the tip of the plug. The gravitational acceleration is g. Neglect the effect of the atmospheric pressure. R R g F Sectional view A-A A The force F required to hold the plug in its position is (a) 2pR gL 1- (b) 2pR gL 1+ 4 4 TC (c) TR?p gL (d) PR gL

The liquid inside the tank on the left side of the 2000 mm wide rectangular shaped lid hinged from the O point, which is seen in the middle of the figure, is under pressure of -22.50 kPa, and on the right side there is oil with a density of d= 0.80. Find the intensity and direction of the force that will act on the O point in order for this cover to remain in balance (Y(liquid)=0.9 kg/lt, Ig=bh^3/12). (Hava=air, Sıvı=liquid, yağ=oil)

The gage pressure of the air in the tank shown in the beside Figure is measured to be 65 kPa. Determine the differential height h of the mercury column. 65 kPa Air T 30 cm 75 cm Water h Oll SG-0.72 Mercury SG-13.6 47cm

A 100 × 50 × 25mm steel block is subjected to a hydrostatic pressure of 5 MPa. The Young's modulus and Poisson's ratio of the material are 150GPa nd 0.2 respectively. The change in the volume of the block in mm³ is

Very small pressure differences p A -p B can be measuredaccurately by the two-fluid differential manometerin Fig. . Density ρ 2 is only slightly larger than thatof the upper fluid ρ 1 . Derive an expression for the proportionalitybetween h and p A - p B if the reservoirs arevery large.

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