Question

Question (1) A cubic Aluminum container (RD = 2.7) has a side length of 1 m and thickness of 1 cm and is floating inside a water tank. The container is empty and open from the top (i.e.: has only 4 sides and one base). Assuming the density of water is 1000 kg/m", determine: A. Height of the container floating above water. B. Volume of water we can pour into the container before it sinks. If the empty container is withdrawn from the water tank and placed into a gasoline tank (RD = 0.7), determine: C. Height of container submerged in gasoline. D. Buoyancy force and tension in a wire attached to the base of the container and used to fully submerge the container into the Gasoline.

Answer 1

Given Cubic aluminium container density 2700 kg/m3 of length (L) = lm & thickness iam = 1000 ng/m3 Density of water (A ) 1-h CS Scanned with CamScanner

2 So, for floating case weight Buoyancy Density & volumexg = (4000) g VOOOOX Ixl xh 2700 X 5 X Ixl x 0.01x10= so, h = 0.135 m above water 1-0.135 So, height 0.865 (6) weight of weight of water Buoyancy Force container poured 103gxi 103 g v 130 + Va 0.865 m3 cs Scanned with CamScanner

When gasoline of density 700 kg/m3 is used instead of water (C) for floating case weight of Busy ancy force container 700Xloxh 2700 XS XOXO so ha 0.19 m container submerged so/ height is 019m T CS Scanned with CamScaner

Buoyancy force = sav = 700 X 10 X 1 = 7000 weight = 1350 container balance on So, By force weight & Tension Buayancy force 1350 + T = 7000 So, T= 5650 N CS Scanned with CamScanner