id: 06448940
dt: j
an: 2015d.00928
au: Huber, Daniel R.; Jones, Leslie B.
ti: Life on the edge: water striders use geometry to master physics.
so: Math. Sch. (Leicester) 44, No. 2, 31-33 (2015).
py: 2015
pu: Mathematical Association (MA), Leicester
la: EN
cc: M60 M50 G30
ut: mathematical applications; interdisciplinary approach; biology; physics;
biological scaling; Baudoin number; mathematical model building;
geometrical models; hemispheres; cones; cylinders; perimeter; volume;
mass; density; size limit; surface area
ci:
li:
ab: From the text: Have you ever wondered why kids are more resilient to
falling than adults? Adults have relatively more volume (and therefore
mass) than kids, and relatively less cross-sectional area to their
bones. This unfortunate pairing results in greater bone stress (body
weight/bone cross-sectional area) and greater likelihood of failure in
older people. We explore a similar relationship between geometry and
biology, with an extension to physics, in the intriguing case of water
striders, insects that spend their entire lives on the edge of water
and air. In addition to engaging students in an exploration of the
biological significance of scaling, this lesson also addresses learning
objectives related to perimeter and volume formulas, equation
manipulation, and units of measure.
rv: