Greenwood press
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book-20600
PROPORTIONS
85 length. If the original ratio surface area volume = s v for the ant, the giant version 20 times bigger in each dimension would have surface area volume = 400 s 8000 v . Hence the relative strength of a giant ant would be only 400 8000 or 5 percent as much as a tiny ant. For example, if a regular ant can carry ten times its body weight, then a giant ant could only carry one-half its body weight. If such a giant ant existed, it would probably have slightly different proportions than the smaller ant, since the cross- sectional area of its legs would probably need to be proportionally larger in order to maintain a dramatic increase in mass. Otherwise, there would be close to 90 times (20 3/2 ) as much pressure on its legs than before, which would probably cause the legs to snap. Ouch! That is why elephants need tree-trunk-style legs in order to support their own weight. This proportional understanding of strength helps designers build stronger paper towels, bags, and boxes, and helps engineers build stronger and more durable machines that can withstand pressure such as airplanes and bridges. online references for further exploration Eratosthenes of Cyrene Build a solar system Circumference of earth using techniques by Eratosthenes Earned Run Average all-time leaders Nuclear medicine Orbit simulation Map making Proportional representation in voting Scale models Understanding scale speed in model airplanes ▲ ▼ ▲ Download 1.81 Mb. Do'stlaringiz bilan baham: |
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