1. Ship\'s Tonnage A ship has 440 tons maximum displacement (this is commonly ca
ID: 1461366 • Letter: 1
Question
1. Ship's Tonnage A ship has 440 tons maximum displacement (this is commonly called the ship's tonnage). What volume of water is the ship displacing assuming it is fully loaded? Recall that 1 ton = 2000 lbs. 2. Blimps Ahoy A blimp and its cargo have mass m = 780 kg. Lift for the blimp is provided by gas inside the blimp's envelope (the balloon part). Assume the gas in the balloon is at the same pressure as the air outside (atmospheric pressure), and that the blimp is flying very close to sea level. The density of air is P air = 1.22 kg/m^3. What volume of hydrogen gas (ph2 = 0.09 kg/m^3) would provide the buoyant force required to maintain a constant altitude? What volume of helium gas (phe = 0.178 kg/m^3) would provide this buoyant force?Explanation / Answer
1) Mass of ship, m = 440 ton = (440 * 907.185) kg = 399161.4 kg
Now, the weight of the ship is equal to the buoyant force exerted by the water which is the weight of the displaced water.
So, mg = Vwg
=> Volume of displaced water, V = m/w = 399161.4 / 1000 = 399.16 kg/m3
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