1- A cylindrical cup such as given in question 4 is produced via slip casting method:...

Transcribed Image Text:

1- A cylindrical cup such as given in question 4 is produced via slip casting method: the water is absorbed by pastry by time and the decrease rate of the height of slip dh/dt is proportional to the surface area A. a) Write the differential equation and solve (Find the height change h by time without considering the base (5P) b) Repeat the same problem including the basement effect (10P) c) 1/3 of the total volume is emptied in 30 min, how much time is required for 2/3 of the total volume be emptied (5 P) H dh R = 2 cm H = 10 cm d) What will be the wall thickness of the cup after 1/3 of the volume is emptied? (5 P) e) If the wall accumulation rate is inversely proportional to the square root of time, and considering the rate constant is half as in a, find out the wall thickness after 30 min. and compare with d (5 P) (First set the eqn. and solve) 1- A cylindrical cup such as given in question 4 is produced via slip casting method: the water is absorbed by pastry by time and the decrease rate of the height of slip dh/dt is proportional to the surface area A. a) Write the differential equation and solve (Find the height change h by time without considering the base (5P) b) Repeat the same problem including the basement effect (10P) c) 1/3 of the total volume is emptied in 30 min, how much time is required for 2/3 of the total volume be emptied (5 P) H dh R = 2 cm H = 10 cm d) What will be the wall thickness of the cup after 1/3 of the volume is emptied? (5 P) e) If the wall accumulation rate is inversely proportional to the square root of time, and considering the rate constant is half as in a, find out the wall thickness after 30 min. and compare with d (5 P) (First set the eqn. and solve)