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MatheMUSEments
Climbing
a Watery Slope
By Ivars Peterson
Muse, September 2006, p. 28.
Some insects can walk on water. They take advantage
of water's high surface tension to skate across a pond or puddle.
But at the edge of the pond, where wet meets dry, surface tension
makes the water curve upward in a meniscus. For tiny, water-walking
insects, scaling this slope isn't easy. If they try to stride up the
slope, they simply slide back down.
So how do these insects get out of the pond? It turns
out water-walking insects rely on special tricks to propel themselves
upward. Surprisingly, these don't require them to move their legs
back and forth in a walking motion at all, say mathematicians David
Hu and John Bush of the Massachusetts Institute of Technology. The
MIT mathematicians used high-speed video to capture the meniscus-climbing
antics of several tiny insects.
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As this water treader approaches a meniscus,
its front and rear legs deform the water's surface to help it move
up the slope. |
Courtesy of Hu and Bush |
Some water treaders, for example, have retractable
claws on their front and hind legs that allow them to pull up on the
water to create tiny peaks. Each peak is itself a meniscus. And, because
one meniscus is attracted to another, the slope tugs on the tiny peaks.
Because the insect's front legs are closer to the slope that its rear
legs, its front legs are tugged more strongly, and it is propelled
forward and upward. In fact, the attraction is so strong, the insect
may glide forward faster than 30 body lengths per second!
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The
larva of the waterlily leaf beetle uses an alternative strategy to
scale a slippery meniscus. A poor swimmer, this creature simply arches
its back, creating a meniscus at each end. The insect then gets pulled
up the slope to a nice, juicy leaf. |
Courtesy of Hu and Bush |
The same force is responsible for clumping breakfast
cereal, such as Cheerios, in a bowl of milk. The meniscus created
by a small floating object like a Cheerio attracts the meniscus produced
by another nearby.
Don't lie: you've always wanted to know why the cereal
ring formed in the bowl, haven't you?
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