\input zb-basic
\input zb-matheduc
\iteman{ZMATH 2015d.00928}
\itemau{Huber, Daniel R.; Jones, Leslie B.}
\itemti{Life on the edge: water striders use geometry to master physics.}
\itemso{Math. Sch. (Leicester) 44, No. 2, 31-33 (2015).}
\itemab
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.
\itemrv{~}
\itemcc{M60 M50 G30}
\itemut{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}
\itemli{}
\end