Answered: efer to the temperature distribution in…

efer to the temperature distribution in the standard atmosphereasshown in Fig. Q1, calculatethe standard atmosphere values of ?, ?and ?at a geopotentialaltitude of 2

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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According to the Newton's cooling law, the temperature of any substance is directly related to the distinction between the substance temperature and its environment (ambient) temperature dT =-k(T – T,)k(T-T) dt where Tis the substance temperature (C) T is the time (minute) k is constant T. is environmental temperature A casting ladle of molten metal has 290 °C, By using Euler methodology, evaluate the temperature from t=0 to 35 min with a step size of 2 min. If, T, is 25°C and k is 0,009/min.
The data listed below is from a passenger hot air balloon. The balloon is designed to lift 10-people (80 kg each person). The balloon consists of a basket, a burner- propane tank system. It will lift up when the cold air trapped inside warms up by the burner. Density of air inside the balloon is 99°C: 0.9486 kg/m³, density of air outside balloon is 20°C (ambient): 1.2041 kg/m³ Mass (kg) Balloon Basket Burner Propane tank 113.4 kg 63.5 kg 22.7 kg 183.7 kg Assume the balloon is a sphere shape, volume =(4/3)pi R3. a. Determine the minimum diameter of the balloon that would have a total lifting force to balance the weight of balloon, basket, burner, propane tank and 10 people? b. If the balloon is converted to survey the weather, it will be filled with hydrogen gas (H2). Assume the weight of the people (800kg) is now replaced by onboard equipment, what is minimum diameter needed to keep it afloat at 18km above the surface of the earth?
For most gases at standard or near standard conditions, the relationshipamong pressure, density, and temperature is given by the perfect gasequation of state: p = ρRT, where R is the specific gas constant. For airat near standard conditions, R = 287 J/(kg · K) in the International System of Units and R = 1716 ft · lb/(slug · ◦R) in the English Engineering System of Units. Using the above information, consider the following two cases: a. At a given point on the wing of a Boeing 727, the pressure andtemperature of the air are 1.9 × 104 N/m2 and 203 K, respectively.Calculate the density at this point.b. At a point in the test section of a supersonic wind tunnel, the pressureand density of the air are 1058 lb/ft2 and 1.23 × 10−3 slug/ft3,respectively. Calculate the temperature at this point.
The data below is from a passenger hot air balloon. The balloon is designed to lift 10-people (80 kg each person). The balloon consists of a basket, a burner- propane tank system. It will lift up when the cold air trapped inside warms up by the burner. Density of air inside the balloon is 99°C: 0.9486 kg/m³, density of air outside balloon is 20°C (ambient): 1.2041 kg/m³, Assume the balloon is a sphere shape, volume =(4/3)pi R3 Mass (kg) Balloon Basket Burner Propane tank 113.4 kg 63.5 kg 22.7 kg 183.7 kg a) Determine the minimum diameter of the balloon that would have a total lifting force to balance the weight of balloon, basket, burner, propane tank and 10 people? b) If the balloon is converted to survey the weather, it will be filled with hydrogen gas (H2). Assume the weight of the people (800kg) is now replaced by onboard equipment, what is minimum diameter needed to keep it afloat at 18km above the surface of the earth?
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A gas at 36°C under a pressure of 15588 mbar absolute has a specific weight of 241 N/m3. What is the value of R for the gas in m2/s2-K? Use 273.15 as conversion factor from Celsius to Kelvin.
For a gas, which of the following does not vary with temperature? - the gas soecific weight - the gas dynamic viscosity - the gas specific volume - the gas constant R - the gas density
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Why does the viscosity of a gas generally decrease with decreasing temperature whereas for a liquid its viscosity generally increases? Calculate and plot using Matlab the variation in the coefficient of dynamic viscosity of air in USC units from 35•F to 120•F. Sutherland's Law can be expressed as T 1.5 To+S То T+S
Review Problems 3-109 Complete the blank cells in the following table of properties of steam. In the last column, describe the condition of steam as compressed liquid, saturated mixture, superheated vapor, or insufficient information, and, if applicable, give the quality. P, kPa T, °C U, m³/kg u, kJ/kg Phase description and quality (if applicable) 200 30 270.3 130 400 1.5493 300 0.500 500 3084
The variation of fluid pressure with height is described by the differential equation: dp/dz = - density *g Here, p is specific density and g is the local acceleration of gravity. For an ideal gas, p = M PIRT, where M is molar mass and R is the universal gas constant. Modeling the atmosphere as an isothermal column of ideal gas at 283.15 K (lO°C), estimate the ambient pressure in Denver, where z = l(mi1e) relative to sea level. For air, take M = 29 g molP1; values of R are given in App. A.
P1.8 The air pressure at the foot of a mountain is 101 kPa while at the top of the mountain the pressure and temperature are 75.7 kPa and 267 K respectively. The temperature of the atmosphere decreases linearly with altitude at the rate of 0.0065 K.m. Calculate the height of the mountain. [Answer: 2317 m]