2. A hydrometer is a device that measures the density of a liquid. If it weighs 0.0216 N and has a stem at the upper end that is cylindrical and 2.8mm in diameter. How much deeper will it float in oil (SG = 0.780) than in alcohol (SG = 0.821)?
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- 2. A cube of material is 4 in. on a side and floats at the interface between kerosene (SG=0.82) and water, as shown. a. Find the specific gravity of the material. b. How much weight is required to fully submerge the cube under water? (SG=0.973) (0.063 lb) Kerosene b/3 Water 2b/3 IPILXThe micromanometer (as shown in the figure) is used to increase the accuracy when measuring small pressure di§erences. Two immiscible liquids (meaning they remain in separate layers when put together in the same container ñ they do not mix) having densities 1 and 2 are used in thismanometer. Flasks A and B contain gasses so that A; B 1; p2. (a) Find an expression for the pressure di§erence, pA pB, in terms of given quantities.(b) If the cross-sectional area of the U-tube is a and the cross-sectional area of the cylindrical containers is A, Önd an expression for h in terms of a, A, and l. You may assume that h = l = 0 when pA = pB.(c) Show that by having a=A very small and 1 2, a small pressure change results in a largecolumn displacement, l, thus making the instrument very sensitive to small pressure differences4.10 A solid cylinder of length H, diameter D and of relative density S floats in neutral equilibrium in water with its axis vertical. What is the ratio of H to D if S = 0.6? (a) 0.86 (c) 0.52 %3D (b) 0.72 (d) 0.46
- An aluminum cylinder (s.g=2.7) 15 cm high and with diameter d=8.1 cm slides down inside a tube with inner diameter D=8.2 cm, as shown in the figure. The cylinder is concentric with the axis of a tube and between them there is a thin film of oil of s.g. =0.8 with a kinematic viscosity of 0.075St. a) What is the (constant) rate of fall of the cylinder inside the tube? b) determine the torque needed to keep the inner cylinder rotating at an angular speed w=200rpm DThe cage system shown in the figure is made of EC rod. The Flow Limit of the material is 180 MPa and the Safety Coefficient is 4 is desired to be. Accordingly, the circular cross section EC rod Calculate the diameter.2. A cube of material is 4 in. on a side and floats at the interface between kerosene (SG=0.82) and water, as shown. a. Find the specific gravity of the material. b. How much weight is required to fully sSubmerge the cube under water? (SG=0.973) (0.063 lb) Kerosene b/3 Water 2b/3 b- APIL
- 1 Proof that a solid aluminum block of 4 mm x 3 mm x 3 mm, such as shown in FigureQ1 (a), can float on water at 20 °C due to the effect of surface tension. The density ofthe aluminum block is 2700 kg/m3. Determine the contact angle. 2. A solid alloy cylinder having a diameter of 6.48 cm slides downward at a terminalvelocity of V through a vertical pipe. The downward motion is resisted by an oil filmbetween the piston and the pipe wall. Determine the oil viscosity when the velocityV is 5 m/s. The inner diameter of the vertical pipe is 6.5 cm, and the alloy density is3500 kg/m3.4.7 A solid cylinder of length L, diameter D and specific gravity 0.6 floats in neutral equilibrium in water with its axis vertical. What is the ratio of L to D? 2/3 (b) (a) 2 4 (c) 5/3 (d) 4/32. A cube of material is 4 in. on a side and floats at the interface between kerosene (SG=0.82) and water, as shown. a. Find the specific gravity of the material. b. How much weight is required to fully submerge the cube under water? (SG=0.973) (0.063 Ib) Kerosene b/3 Water 2b/3
- A block of steel (s.g. = 7.85 ) will "float" at a mercury-water interface as shown in the figure. What is the height that submerged in the mercury (b)? Assume that the dimensions of the base of the block are X and L. Water Steel block 150 mm Mercury (s.g. = 13.6)Draw the linear graph for liquid limit determinationCIVIL ENGINEERING FDRAULICS dynes A capillary tube of a uniform bore is dipped vertically in water which rises by 7 cm in the tube. Find the radius of the capillary if the surface tension is 70- Cm A liquid rises to a height of 9 cm in a glass capillary of radius 0.02 cm. What will be the height of the liquid column in a similar glass capillary of radius 0.03 cm?