Jules Verne published the novel \"Twenty thousand leagues under the sea\' which
ID: 1652413 • Letter: J
Question
Jules Verne published the novel "Twenty thousand leagues under the sea' which tells the tale of a very long underwater journey aboard the Nautilus submarine. A league is a unit of distance that has acquired various meanings in different moments and places in history. A conversion factor can be obtained from a passage from Verne's book itself that says that 32000 feet are approximately 2.5 leagues. (Remember: 1 foot = 0.3048 meters) a) Determine the equivalent of twenty thousand leagues in km. b) How many laps around the Earth's equator is that distance equivalent to? (Circumference of the Earth = 40.075 times 10^6 m) c) Assuming the Nautilus makes the entire voyage navigating at 16 leagues per hour, how long will the full trip take in days?Explanation / Answer
so given
32000 ft = 2.5 leagues
1 ft = 0.3048 m
a) 20,000 leagues = 32,000*20,000/2.5 ft = 32,000*20,000*0.3048/2.5 m = 78028.8 km
b) circumference of earth l = 40.075*10^6 m = 40075 km
number of laps around the world, n = 78028.8/40075 = 1.947 laps
c) at 16 leagues per hour
time for 20,000 leagues = 20,000/16 = 1250 hours = 1250/24 days = 52.0833 days
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