3. A 10-ft diameter by 15 ft height vertical tank is receiving water (p = 62.11b/ft3) at the rate of 300 gpm and is discharging through a 6-in ID with a constant speed of 5 fps. At a given instant, the tank is half full. Find the water level and the mass change in the tank 15 min. later

6. A 100 cc block of Styrofoam (density 100 kg/m³) is held by a massless string, attaching the bottom of the block to the bottom of the vat, in a vat of water (density 1 gm/cc) as shown in the diagram. В. What is the tension in the string? С. block in it), i.e. everything (vat, water, block) accelerates downwards with acceleration due to gravity, g. Now what is the tension in the string? Justify your answer. [Hint: Think carefully about how the buoyant force is derived] Now imagine you drop the whole vat of water (with the Styrofoam

The vat shown in the accompanying figure contains water to a depth of xo = 1.4 m. Find the work required 4 m 6 m %3D to pump all the water to the top of the vat. 3 Use 9810 N/m as the weight density of water. 3 m NOTE: Enter the exact answer. Work J %3D

A row of long cylindrical power cables that are spaced 2 cm evenly apart is placed in parallel with a plate (k = 15 W/m.K). The plate has a thickness of 5 cm, and its lower and upper surface temperatures are To = 227°C and T₁ = 207°C, respectively. The power cables are shielded with polyethylene insulation, and the diameter of each cable is 1 cm. The opposite wall is at a temperature of T3 = 20°C. The upper surface of the plate experiences convection with air at 20°C and a convection heat transfer coefficient of 20 W/m².K. According to the ASTM D1351-14 standard specification, the polyethylene insulation is suitable for operation at temperatures up to 75°C. Determine the surface temperature of the cable and check whether the polyethylene insulation for the power cables would comply with the ASTM D1351-14 standard specification. All surfaces can be approximated as blackbodies. T3 Yes T₂ To- Air, h, Too Plate, k Wall Power cable The surface temperature of the cables is 127 °C. >, the…