In sand-mold casting of a metal, it takes 180 seconds for complete solidification of a 27 cm3 cube-shaped casting. All other parameters remaining constant, the total solidification time (in seconds, rounded off to one decimal place) for a cylinder-shaped [radius = 1 cm and height = 6 cm] casting of the same metal, is _______.
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Solidification time t = k (V/A)2 From the given data tcube = 180 sec where V = 27 cm3 so a = 3cm Putting the formula we get 180 = k (27/54)2 In case of cylinder having r = 1 cm and h = 6 cm Putting the formula hwe get t = k (rh/2h+2r)2 Where volume = Πr2 h and area = 2Πr2 + 2 Πrh Hence tcylinder = kRead more
Solidification time t = k (V/A)2
From the given data tcube = 180 sec where V = 27 cm3 so a = 3cm
Putting the formula we get
180 = k (27/54)2
In case of cylinder having r = 1 cm and h = 6 cm
Putting the formula hwe get t = k (rh/2h+2r)2
Where volume = Πr2 h and area = 2Πr2 + 2 Πrh
Hence tcylinder = k (6/14)2
Comparing solidification time equation of cube and cylinder we got solidification time of cylinder
t = 180* (6/7)2 = 132.24 sec
See lessVideo solution at 10:25. According to Choroniv rule, the time of solidification is related to square of length of casting. length is calculated by dividing volume by total area.
Video solution at 10:25.
According to Choroniv rule, the time of solidification is related to square of length of casting.
length is calculated by dividing volume by total area.
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See lessCorrect answer is in the range of 130-134. @Digbijaya igit described it best. Thank you. Some peripheral lines related to this topic: Solidification time, t= K (V/A)2
Correct answer is in the range of 130-134. digbijaya igit igit described it best. Thank you.
Some peripheral lines related to this topic:
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