1- Given a mold in spherical form, alumina slip will be poured by solid casting method...
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1- Given a mold in spherical form, alumina slip will be poured by solid casting method in order to build cannon balls in classical style. The sphere diameter D = 20 cm. and the thickness increase rate (dx/dt) of alumina is equal to inner surface area (with a rate constant k) where the liquid (slip) is in contact with it. SLIP (Liquid) PLASTER MOULD D = 20 cm R SOLD ALUMNA a) Derive the differential equation (5 P), and find the general solution (5P) b) An hour is passed for the liquid (or solid alumina) volume reaches to half of the mold cavity (where r= 0.794Ro) calculate the rate constant k, write its unit (5P) c) Prove r = 0.794R, after 1 hour (5P) d) For r = 0.1 cm (practically no liquid remains), calculate the time necessary (5P) Assume that a worker feeds the slip from top when the level decreases and omit the effect of gravitation. 1- Given a mold in spherical form, alumina slip will be poured by solid casting method in order to build cannon balls in classical style. The sphere diameter D = 20 cm. and the thickness increase rate (dx/dt) of alumina is equal to inner surface area (with a rate constant k) where the liquid (slip) is in contact with it. SLIP (Liquid) PLASTER MOULD D = 20 cm R SOLD ALUMNA a) Derive the differential equation (5 P), and find the general solution (5P) b) An hour is passed for the liquid (or solid alumina) volume reaches to half of the mold cavity (where r= 0.794Ro) calculate the rate constant k, write its unit (5P) c) Prove r = 0.794R, after 1 hour (5P) d) For r = 0.1 cm (practically no liquid remains), calculate the time necessary (5P) Assume that a worker feeds the slip from top when the level decreases and omit the effect of gravitation.
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Solutions Step 1 a Deriving the differential equation and finding the general solution Let R0 initial radius of the mold 10 cm r radius of the liquid ... View the full answer
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Cornerstones of Financial and Managerial Accounting
ISBN: 978-1111879044
2nd edition
Authors: Rich, Jeff Jones, Dan Heitger, Maryanne Mowen, Don Hansen
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