An airplane, of overall length 55 ft, is designed to fl y at680 m/s at 8000-m standard altitude. A one-thirtieth-scalemodel is to be tested in a pressurized helium wind tunnel at20 ° C. What is the appropriate tunnel pressure in atm? Evenat this (high) pressure, exact dynamic similarity is notachieved. Why?

Q: a.) Prepare ground reaction curves (GRC) for elastic and elastic-plastic response in the above…

A: For the elastic response, we can use Hoek- Brown failure criterion to calculate the ground response…

Q: (a) A light balloon is filled with 400 m3 of helium. At 0C, the balloon can lift a payload of what…

A: Write the given values of this problem. Volume of the balloon(V)=400 m3Density of Airρair=1.29…

Q: (b) An aircraft weighing 1337 kN when fully loaded has a wing area of 226 m2. It is to take off at…

A: Given: Aircraft weight = 1337 kN; Wing span = 30m wing area = 226 m2 ; Altitude = 3000m; Velocity =…

Q: The tank is filled with air at 20°C and 139 kPa in stationary condition. Air is leaving the tank…

A: Given : Pressure(P) =139kPa Area (A)=2385cm2

Q: Water at 15°C and a pressure of 125 kPa is going through a 30° bend. The inlet diameter is 0.3 m,…

A:

Q: A special high-pressure U-tube manometer is constructed to measure pressure differential in air at…

A: Givenas specific density of substance=density of substancedensity of water(=1000 kg/m3)Thus, density…

Q: Q.2 A rod is made of cast iron and is secured to the piston by a tapered rod and nut and to the…

A: Given:D=1.3mP=0.25 N/mm2E=220kN/mm2  =220×103 N/mm2l = 2.8 m =2800 mmTo find:d = ?

Q: Solve the problem: a coin dropped from a certain building with a height of 3704.99m. If we…

A:

Q: (a) Find the average time required for an oxygen molecule to diffuse through a 0.200-mm-thick tear…

A: (a) Given: The thickness of the tear layer is 0.200 mm.

Q: Q.4. The supersonic nozzle of the figure is overexpanded with AJA, = 3 and a stagnation pressure of…

A: Given data: Area ratio (Area at exit plane/throat area), AeAt=3 Stagnation pressure, P0=350 kPa…

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A: (A) Applying Bernoulli's equation, express the relation for the average blood speed.…

Q: A small sphere with a mass of 0.1 grams, carrying a load of 3.10-10 C, is attached to the end of a 5…

A: Here, Mass(m)= 0.1gm

Q: A Cylinder encloses a gas With a piston as shown in the tigure. The area of the piston in contact…

A: Absolute pressure is defined as the pressure relative to the zero pressure in the empty air-free…

Q: Consider a hypothetical atmosphere consisting only of helium (mass = 4 amu) and argon (m = 40 amu).…

A: Step 1:Step 2:Step 3:

Q: Astronomers have recently discovered a new planet in a faraway solar system with a radius of roughly…

A: Given :     Radius of the planet, R = 1211×103 m     Atmospheric temperature, T = 562 °C = 835 K…

Q: In one observation, the column in a mercury barometer (as is shown in the figure) has a measured…

A: Solutionpressure measured using Barometer is given asP0=Pgh --(1)for given problem-P=13608*104kg/m3,…

Q: cylinder contains 0.020 m3 of molecular oxygen at a temperature of 25 C and a pressure of 15 atm.…

A:

Q: The pressure in interplanetary space is estimated to be of the order of 10^-14 Pa. Calculate: A)…

A: Part (A) By the ideal gas equation, Here n is number of moles, N is the number of molecules, V is…

Q: A 10 kg object initially at rest explodes into 3 fragments. After the explosion, fragment 1 is…

A:

Q: The flow through a ½ in diameter pipe is 4 GPM with a pressure drop of 1 PSI. What would the…

A: Given: the diameter of pipe 0.5inch  flow rate is 4GPM Pressure drop is 1Psi To find:  Pressure…

Q: Ex. 42 At what temperature will oxygen molecules have the same R.M.S. speed as that of helium…

A: To find- Temperature of oxygen Given- Molecular wt. of oxygen Mo=32 Molecular wt. of helium MHe=4 At…

Q: 2.8 At a temperature of 100°C and an absolute pressure of 5 at- mospheres, what is the ratio of the…

A:

Q: 5.42 PQ If an automobile tire develops a leak, how does the mass of air and density change inside…

A: Change of the pressure with density:

Q: Macroscopic Description of an Ideal Gas. An auditorium dimension 10 m x 20 m x 30 m. How many…

A: The Ideal Gas law is an equation representing the state of a homogeneous mixture of gas, which sets…

Q: Calculate the R.M.S. speed of oxygen molecules at 227°C. (Density of oxygen at N.T.P. = 1.429 kg/m3…

A: To find-RMS speed of oxygen molecule (C)=?Given-Temperature (T)=2270C=5000KDensity (ρ)=1.429…

Q: 2.49 Which of the following is the formula for the gage pressure within a very small spherical…

A:

Q: B: The mass composition of dry air at sea level is approximately N2:75.5g, O2 :23.2g, Ar:1.3 g. What…

A:

Q: 60 D2 D1 The last 40 ° C until the water vapor pressure in the tube shown in Figure 0.75 t/m 2 d. Be…

A:

Q: A 200 seated jet aircraft is cruising at Mach No. of 0.79 with the following given data at 10 km…

A: Solution: (a). For a 200 seated jet aircraft mission segment consists of the following processes: .…

Q: A piece of aluminum (bulk modulus 7.1 x 10¹0 N/m²) is placed in a vacuum chamber where the air…

A: The bulk modulus (K) is a measure of a substance's resistance to compression when subjected to…

Q: At 12 km in the standard atmosphere, the pressure, density, and temperature are 1.9399 x 104 N/m²,…

A: According to the standard atmospheric model, the pressure and temperature decrease with increasing…

Q: A deep-sea diver should breathe a gas mixture that has the same oxygen partial pressure as at sea…

A: We must ascertain the oxygen partial pressure at sea level. We have the given data is,  Atomic…

Q: P. (b) Show that the ratio of the pressures () and densities () for altitudes h; and h: in a…

A: b) Using ideal gas law equation, .................(1) Where, P =pressure  V =volume m =mass…

Q: f the sphere's radius is 0.5m and its Re in air 1 x 106, what is nearly velocity ( air density =…

A: Given, Radius of the sphere, r = 0.5 m Reynolds number of sphere falling in air, Re = 1×106 m air…

Q: What is the gauge pressure of a 0.04 m³ tank holding 107 g of argon gas at 20 C? The molecular…

A:

Q: Calculate the correction that needs to be applied to a T = 89°C if barometric pressure when…

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Q: How long does it take a sucrose molecule in water at 25 oC to diffuse along a single dimension by…

A: When diffusing solutes are in any solutions they move in three dimensions down a concentration…

Q: What is the ratio of the average distances that oxygen willdiffuse in a given time in air and water?…

A: Diffusion constant of oxygen in water and air is given as,

Q: Consider a perfect fluid with equation of state p = (–1/3)p_in a FLRW space-time. Give the energy…

A:

Q: Atmospheric pressure amp Mt. Everest is 3.30 × 104N/m². (a) What is the partial pressure of oxygen…

A: To maintain the same partial pressure as at sea level, we must calculate the partial pressure of…

Q: A 23-cm -diameter cylinder that is 44 cm long contains 50 g of oxygen gas at 20∘C . What is the…

A: The reading of the pressure gauge is 2.08×105Pa.Explanation:Step 1: Step 2:

Maxwell speed distribution

Maxwell-Boltzmann distribution or commonly known as Maxwell speed distribution, explains the division of the energy levels of the molecules of an ideal gas on the basis of the statistical theory. In 1859, Scottish physicist James Clerk Maxwell established the context for the distribution of molecular velocities for random molecules moving in a closed environment. This theory was generalized in 1871 by German physicist Ludwig Boltzmann. He improvised the theory to express the distribution of energy levels among different molecules.