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- A balloon filled with helium (of density ρHe = 0.164 kg/m3 ) has a cube shape and rises through the stratosphere. Air density is given by ρ(z) = ρa exp(− gz/ RT), where ρa = 1.225 kg/m3 is the density of air at the sea level, g = 9.81 m/s^2 is the gravitational acceleration, R = 287.06 J/kg/K is the specific gas constant of air, and T is the air temperature, which is constant in the stratosphere and equal to 217 K (Note that this expression for the atmospheric density is strictly correct only in the isothermal region of the stratosphere. However, please use it for solution to this problem). This balloon is designed so that ρHe and its side length h = 30 cm remain constant for all z. The lower surface is located at z and the upper surface at z + h. Derive an expression for the buoyancy force on the balloon and compute the maximum altitude to which the balloon rises in a unit of m.In a horizontal tube, its initial section is A1 = 800 cm2 , which reduces to A2 = 600 cm2 at the end of the tube. The mass amount is 0.1 slug/s of air (p = 1.25 kg/s). Assuming ideal fluid flow and steady state, calculate the pressure difference between A1 and A2. Answer:p1 - p2 = 1.75 kgf/m2The Helmholtz free energy of a liquid column that rises, due to surface tension, inside a capillary tube (Figure 1), as a function of the height, h, is given by: F(h) =(ro)gr^2h^2/2 = -2 pi sigma r h cos teta, where r is the radius of the tube, g is the local ac- celaration of gravity, is the surface tension of the liquid, and is the contact angle of the liquid in contact with the wall of the tube. (a) From this expression, obtain the value of h as a function of the other physical parameters at equilibrium.Calculate the height that water will rise in a capil-lary of diameter 0.05mm. Assume that the contactangle between the water and the tube is zero. Thesurface tension of water at experimental conditionsisσ= 7.73×10−2N/m, and the local accelarationof gravity isg= 9.7m/s2.
- Need answer ASAP. Please be detailed and clear with your solution. II. In a piston-and-cylinder apparatus the initial volume of air is 90 L at a pressure of 130 Kpa abs and temperature of 26°C. If the pressure is doubled while the volume is decreased to 56 L, compute the following using R=0.287 KJ/kg-K. 1. Mass of air, in kg. * 2.Final temperature of the air in °C. *For first law thermodynamics , Q-W = E where E is the change in total energy. My question is when should we use q-w = h2-h1 when h is the change in epecific enthalpy and q-w = u2-u1 and u isthe change in specific internal energy?Please indicate the given, assumption and illustration. A Jet plane having a wing area of 20 m2 and weighing 25 kN flies at 950 km/hr speed. The engine develops 8,500 kW and has a mechanical efficiency of 9%. With the specific weight of air at 12 N/m3, determine the following: A) The Coefficient of Lift (CL). B) The Coefficient of Drag (CD).
- What is the power of a steam jet 15mm in diameter moving at 750 m/s? Steam condition, 1.4 kg/cm2, dry and saturated (v = 1.256m3/kg). (With drawing to fully understand the question)a) 29.67 kW c) 19.67 kWb) 39.67 kW d) 49.67 kWA cubic Aluminum container (RD = 2.7) has a side length of 1 m and thickness of 1 cm and is floating inside a water tank. The container is empty and open from the top (i.e.: has only 4 sides and one base). Assuming the density of water is 1000 kg/m3, determine: A. Height of the container floating above water. B. Volume of water we can pour into the container before it sinks. B. f the empty container is withdrawn from the water tank and placed into a gasoline tank (RD = 0.7), determine: C. Height of container submerged in gasoline. D. Buoyancy force and tension in a wire attached to the base of the container and used to fully submerge the container into the Gasoline. hand written answer if possible.(a) A iron block with a mass of 6.9 kg initially slides over a rough horizontal surface with a speed of 9.0 m/s. Friction slows the block to rest. While slowing to rest, 85.0% of the kinetic energy of the block is absorbed by the block itself as internal energy. What is the temperature increase of the block? (Enter your answer in degrees Celsius.) ?°C (b) What happens to the remaining energy? It is absorbed by the horizontal surface on which the block slides. It vanishes from the universe. It becomes chemical energy. It is so minute that it doesn't factor into the equation.
- A box with a mass of 3m is on frictionless ground, attached to a wall (on the left-side of the box) by a spring with constant k. Inside the box (on the frictionless floor of the box), is a block of mass m. The block is also attached to the left-side of the box (but inside it), by a second spring, with a spring constant 2k/5.1) What are the F = ma equations for the box and the block? (Remember how the motion of each, affects each other)2) What are the matrices K and M for the system?3) What are the normal frequencies of the system?4) Describe the motion of the masses. In phase? Out of phase? Does one mass oscillate with a higher amplitude than the other?In a piping system at sea level, a liquid of relative density 1.5 flows through a pipe 8 cm in diameter.diameter at 1.2 m/s. Fifteen meters above the pipe diameter is reduced to 5 cm, Assume that the temperature of thefluid in the process remains at 30°C, producing a heat loss of 25 N-m/kg. Determine the pressure change in the thermodynamic process.SUMMARIZED IN YOUR OWN WORDS THE RELEVANCE OF IST AND SECOND LAW OF THERMODYNAMICS IN YOUR CAREER AS A CIVIL ENGINEER