- #1
charlie05
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Homework Statement
The bottom of the boat has dimensions a = 50 m, b = 10 m, the height of the ship is c = 5m. Impact created in the bottom a circular hole with a diameter d = 20 mm. The initial height of the upper edge of the ship above the water level is h = 3.5 m. The ship is empty and open at the top.
a/ Show that difference between the levels inside and outside the ship is not changed
b/ Determine the velocity of water in the hole.
c/ Calculate how long the boat sinks.
Homework Equations
a/ ...
b/ 0,5 ρ v2 = hρg v = √ 2gh
c/ volume of boat...V = abc
flat of hole...S = π r2
The Attempt at a Solution
b/ v = √2*9,9-81*3,5 = 8,28 m/s
c/ V = abc = 50*10*5= 2500 m3
S = π * 0,022 = 0,00126 m2
in 1 s...V1 = v*S = 8,28*0,00126 = 0,01 m3
T = V /V1 = 2500/0,01 = 250 000 s = 69,44 hour