A spherical satellite of 2m diameter circles theearth at an altitude of 600 miles. Assuming allsurfaces are black, calculate the equilibriumtemperature of the satellite on the 'dark' sideand on the 'bright' side of the earth. Assumethe earth has a radius of 4,000 miles and atemperature of 200C. The suns temperaturecan be taken to be 6,700K and it has a radiusof 433,000 miles. The distance between thesun and the earth is 93,000,000 miles.View factor of a small sphere to a much largerone:S→LWhereR = '2ri is the radius of the large sphere and x is the separation distance between thespheres.

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Answered: A spherical satellite of 2m diameter…

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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A small gray sphere, with an emissivity coefficient of 0.5 and a surface temperature of 537°C, is located in a black body wrap with a temperature of 35°C. For this system, calculate the net rate of heat transfer per unit of surface area of the sphere.
A furnace is located next to a dense array of cryogenic fluid piping. The ice-covered piping approximates a plane surface with an average temperature of Tp = 0°C and a total, hemispherical emissivity of εp = 0.53. That is, the piping can be replaced by a flat surface with the given properties. The furnace wall has a temperature of Tf = 206°C and a total, hemispherical emissivity of εf = 0.83. To minimize the heat loading on the regirgeration equipment and piping, a reflective aluminum radiation shield with a total, hemispherical emissivity of εs = 0.14 on each of its sides is installed between the pipiing and the furnace wall as shown. Assume that all surfaces are diffuse and gray and treat the problem as one-dimensional (surfaces form infinite parallel plates). What is the heat load on on the refrigeration unit? That is, what is the net radiative power at the surface which approximates the dense array of ice-cold piping, qrad,p in Watts?
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A right circular cylinder has a height of 1 m and diameter of 75 cm. Find the view factor for the cylindrical to the base.
3. A star has a surface temperature of 5,500K. Determine the radiative heat transfer received by planet Z in Petawatts with diameter of 2100 km, temperature of surface of 300K and mean absorptivity of 0.8. Radiative energy loss due to radiation dispersion on outer space is 99%.
Please answer the questions below.
4. The surface temperature of a planet is T, and the measured temperature is Tm (i.e. the temper- ature measured at the top-of-atmosphere based on the upwards flux Ft there). Assume radiative equilibrium. (a) Show that the infrared optical depth of the planet's surface 7 is related to the surface temperature T, and the measured temperature Tm by Calculate the infrared optical depth at the surfaces of (a) Earth, where T, = 300 K and Tm = 250 K. (b) Venus, where T, = 750 K and Tm = 230 K. (c) Mars, where T, = 240 K and T, = 220 K.
1. A horizontal force, F, pushes a block of mass m against a vertical wall. The coefficient of static friction, μs, is given. Find the minimum horizontal force where the block will just begin to slip.
5. Research about the Crossed-Strings Method. Then, solve the problem using that method: Two infinitely long parallel cylinders of diameter D are located a distances apart from each other. Determine the view factor F12 between these two cylinders.
Question 30 of 30 く - / 4.3 View Policies Current Attempt in Progress Two concentric spheres of diameter D = 0.8 m and D2 = 1.2 m are separated by an air space and have surface temperatures of T = 410 K and T2 = 300 K. (a) If the surfaces are black, what is the net rate of radiation exchange between the spheres, in W? 912 = W (b) What is the net rate of radiation exchange between the surfaces if they are diffuse and gray with &j = 0.5 and ɛ2 = 0.05, in W? 912 = i W (c) What is the net rate of radiation exchange if D2 is increased to 20 m, with ɛ2 = 0.05, ɛ = 0.5, and D = 0.8 m, in W? 912 = W (d) What is the net rate of radiation exchange if the larger sphere behaves as a black body (ɛ2 = 1.0) and with &j = 0.5, D2 = 20 m, and D = 0.8 m, in W? 912 = i W Physical Properties Mathematical Functions II
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