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27 Nov 2019

1. The USS Farragut (DDG-99) Guided Missle Destroyer) displaces9200 long tons (1 long ton= 2240 lbs) of seawater. Assuming theaverage density of seawater surrounding the ship is 1.024 g/mL,calculate the total volume of seawater(in m^3) displaced by theship's hull.

2. A cargo ship of 455 ft. length, 62 ft. beam, and 38 ft. depth(deack to keel) has been loaded so much that is displaces 15,036.75m^3 of seawater (assume a uniform density of 1.024 g/m). What isthe total weight of the cargo ship (in kg) with its present load?If you first calculate the ship's overall volume, what is theship's overall density (in g/mL)? If there was a hull breach, howmuch seawater (in m^3) could she take on before sinking?

3. Your ship is in the middle of the Pacific Ocean, in waters 4500meters deep. While enjoying the day on deck, a breeze picks up atiny grain of quartz sand (0.3 mm diameter, 2.65 g/mL) in your hairand carries it out to sea. If the sand grain is deposited on theocean surface, how long will it take to sink to the ocean floor(assuming a perfectly still ocean with a uniform density=1.024g/mL)?
v (setting)= (2r^2g(d(particle)-d(fluid))/9u

r=particleradius (m)

g= 9.8m/s^2

d=density (kg*m^-3)

u=(1.17*10^-6 m^2 s^-1)* d(fluid)

4. If the particle in Question 3 were a flake of dandruffinstead (1.035 g/mL), at what depth would the dandruff flake ceaseits descent in a layered ocean like the one dipicted here? How longwill it take for the dandruff flake to reach its final destination?Make sure you choose a meaingful unit of time; a simple algebraicmethod is fine.

1.017g/mL 500m

1.025g/mL 2000m

1.028g/mL 2600m

1.032g/mL 3175m

1.037g/mL 3800m

1.042g/mL 4500m

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