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- (a) What is the maximum diameter of a ball made of Copper (Density 8900 kg/m^3), that would allow for the Copper ball to float on water at 20 degrees Celsius with σs= 0.0745 N/m ? (b) What is the maximum diameter of a ball made of Silver (Density 10500 kg/m^3), that would allow for the Copper ball to float on water at 20 degrees Celsius with σs= 0.0745 N/m ?A tentative rule was given about tipping in Testing Experiment Table 8.4, where if a vertical line passing through the object's center of mass is within the object's area of support the object does not tip. According to the rule, the full box of crackers in the following experiment, which has a width of 13 cm and a height of 20 cm, was seen to tip at an angle of: θc=tan−1(13 cm/20 cm)=33∘θ According to the rule, at what angle will a box with the left half filled with crackers begin to tip? Assume the box is light-weight and that the contents remain in the configuration inA gas at 20 ° C may be considered rarefi ed, deviating fromthe continuum concept, when it contains less than 10 12molecules per cubic millimeter. If Avogadro’s number is6.023 E23 molecules per mole, what absolute pressure (inPa) for air does this represent?
- 32. A perfect gas expands polytropically with an initial volume and temperature of 0.06 m3 and 147°C. If the final volume and temperature are 0.21 m3 and 21°C, what is the value of polytropic index n?A nuclear reactor is cooled by liquid sodium. The liquid sodium has the following properties: dynamic viscosity = 0.41 mPa·s, specific heat capacity = 1.2 kJ/kgK, thermal conductivity 82 W/mK. Which of the following statements is correct for this scenario? please explain A The thermal boundary layer is thicker than the hydraulic boundary layer. B Heat is transferred through the fluid more easily than momentum. C The velocity varies significantly from the surface to the thickness of the thermal boundary layer. D The hydraulic boundary layer is thicker than the thermal boundary layer.A 45 grams (0.045 kg) golf ball of diameter equal to 43 mm fell into a 2m deep lake. Neglect inertia at the moment of impact. Assume viscosity of 1.12x10-3 Ns/m2 , water density of 1,000 kg/m3 and Cd=0.5. Sphere volume equals 4π r³ /3. 1. How long will it take from the moment it hits the surface until it gets to the bottom? 2. If one estimates the Cd with Cd=24/Re formula, the settling velocity would be unrealistically large. Why?
- a) what is the laplace equation for a sphere? b) Assuming a patient is presented with an 18% decrease in blood flow rate(Q), througha given portion of an artery, what is the percentage change in the radius of the vessel?A tremendous force is generated when waterfreezes into ice and expands in volume by 9.0%. Suppose a 1.000-m3cube of liquid water freezes into ice that is 1.000 m on a side by1.090 m tall. How many 68-kg students would the ice be able tolift? Determine this by calculating the amount of force on the top1.000-m2face that would be required to squeeze 1.090 m3of iceback to 1.000 m3, assuming all of the volume change occurs alongthe vertical directionA windmill turns a series of slender rods fixed about one end . They are initially 2 meters long, and go at a speed of 15 revolutions per minute. I suggested making the blades 1m long to reduce the cross-sectional area of the windmill, keeping the mass the same for mechanical stress consistency. How fast are the windmill blades going now, in revolutions per minute?
- An intrepid treasure-salvage group has discovered a steelbox, containing gold doubloons and other valuables, restingin 80 ft of seawater. They estimate the weight of thebox and treasure (in air) at 7000 lbf. Their plan is to attachthe box to a sturdy balloon, infl ated with air to 3 atm pressure.The empty balloon weighs 250 lbf. The box is 2 ftwide, 5 ft long, and 18 in high. What is the proper diameterof the balloon to ensure an upward lift force on the box thatis 20 percent more than required?The surface tensions of mercury and water at 60 degrees Celcius are 0.47N/m and 0.0662 N/m, respectively. What capillary height changes will occur in these two fluids when they are in contact with air in a glass tube of radius 0.30mm? Use θ = 130° for mercury, and 0° for water; y = 132.3 kN/m3 for mercury and 9.650 kN/m3 for water. Provide the given along with its solution. (Please write legibly, I did not understand the first solution.)Ultrasonic sound waves are often used in methods of nondestructive testing. For example, this method can be used to find structural faults in a steel I-beams used in building. Consider a 10.00 meter long, steel I-beam with a cross-section shown below. The weight of the I-beam is 3846.50 N. What would be the speed of sound through in the I-beam? (Ysteel = 200 GPa, βsteel = 159 GPa).