C5-99 A wine barrel is modeled as a circular cylinder 4 ft in diameter and 6 ft long on its side as shown in Fig. P5-99. Plot R, the resultant of the wine (y = 56 lb/ft) pres- sure on the end of the barrel, as a function of the wine depth ia (0 sh S4 ft). 4 ft
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- Evaluate the dimensionless groups hcD/k,UD/, and cp/k for water, n-butyl alcohol, mercury, hydrogen, air, and saturated steam at a temperature of 100C. Let D=1m,U=1m/sec, and hc=1W/m2K.Find the center of mass of a uniform slice of pizza with radius R and angular width \theta Express your answer in terms of the variables R and \theta ." CENTROIDS OF VOLUMES " Please refer to the answer key (book from Engineering Mechanics by SInger) Please include the analyzation of figure so that i could undestand the steps and solution. Thankyou!
- C5-99 A wine barrel is modeled as a circular cylinder 4 ft in diameter and 6 ft long on its side as shown in Fig. P5-99. Plot d, the location of the center of pressure relative to the center of the circle, as a function of the wine depth h (0 shs4 ft). 4 ftP4-28 A layer of oil 6 cm thick covers a layer of water. A cylinder made of soft pine floats in this two-layer fluid, as shown. Using data on the figure, find the height, x, by which the cylinder protrudes from the fluid. 20 cm Air 14 cm Soft SG 075O pine SG 0.56 WaterHere are these questions if I could get help with themIf a spherical storage tank holds 40,000 gallons (120,000 liters) of water,what diameter must it have?If a cylindrical storage tank has a 40-foot (12 m) diameter circular 05::=how high must it be to hold 1 million gallons (3 million liters)?If water is moving at a rate of 3.2 ft3/sec (90,000 cc/sec), how manygallons (liters) per minute is this?If the specific gravity of gold is 19.0. what is the weight of a cubic inch(cubic centimeter) of gold? A cubic foot (cubic meter)?
- Ів 00 WB WC DBC A LA WA P lc UBC Engineering A kid excitedly swings his foam cut-out hammer. If point P acts like a pin and the hammer rotates about kg that point, what is the moment of inertia of the hammer? The foam has a density of p = 150 and a uniform thickness of t = 0.5 cm. Assume each cut-out is a rectangular plate and the foam acts as a rigid body. m³ Plate A has a length 14 = 34 cm and width w₁ = 8 cm. Plate B has a length 13 = 8.5 cm and width wB = 30 cm. Plate C is identical to plate D, and has a length lc = 15 cm and width wc = 5 cm. Plate C and D are attached to plate B such that their centers line up. Ip = 0.00758 x (kg) - m²Soved If the pressure in container A in the given image is 538.55 kPa, compute the pressure in container B. Take the density values at 20°C. Water 18 cm Oil, SG = 0.8 16 cm 22 cm Mercury 8 cm 520 kPaSEA WATER T SIDE FRS 7M Faf FRESH WATER SIDE As shown in the figure, a vertical wall Seperates a seawater-filled tank and a freshwater-filled tank from each other. Since the depth of seawater is 7 meters a) How deep should the fresh water be for the compound force on the wall to be Jero? 2 b) is the moment created by the fluid forces gero when the resultent force on the wall is gero? Explain.
- = (II) Wine bottles are never completely filled: a small volume of air is left in the glass bottle's cylindrically shaped neck (inner diameter d 18.5 mm) to allow for wine's fairly large coefficient of thermal expansion. The distance H between the surface of the liquid contents and the bottom of the cork is called the "headspace height" (Fig. 17-21), and is 991 kd Cork 3 Air (headspace) No typically H = 1.5 cm for a 750-ml bottle filled at 20°C. Due to its alcoholic content, wine's coefficient of volume expansion is about double that of water; in comparison, the thermal expansion of glass neglected. Estimate H 492 giz bitisolo or intron lange can be ns1 dioc gre if the bottle is kept (a) at 10°C, (b) at 30°C. FIGURE 17-21 Problem 21. 12 OVE Liquid wine ca Free H obnod Glass (bottle int wollTwo spheres, one heavier and weighing12000 N and of diameter 1.2 m and the other lighter and weighing 4000 N, are tied with a rope and placed in seawater. The density of sea water is 1025 kg/m^3. It was found that the spheres floated vertically with the lighter sphere just under the water PROBLEM 0surface. Illustrate the problem before answering the following questions:a)Determine the diameter of the lighter sphere in meters.b) Determine the tension in the rope in Newtons.4. Kittel Ch3-4. Energy fluctuations. Consider a system of fixed volume in thermal contact with a reservoir. Show that the mean square fluctuation in the energy of the system is ((x − (e))²) = t² (əU / ət), Here U is the conventional symbol for (e). Hint: Use the partition function Z to relate U/ar to the mean square fluctuation. Also, multiply out the term (...). (89)