THE LAB February 2006 The Italian Job Lab The 2006 Winter Olympics are in Italy this winter; a country of great history, great culture…and great food! And, if I say “Italy”, what’s the first food that comes to mind??? For me it’s SPAGHETTI! When cooked up and served with a spicy arrabbiata sauce, spaghetti comes alive to tease, tingle and tempt your taste buds! But when they’re uncooked, these hard, rod-like objects are pretty unimpressive. However, to ignore the uncooked spaghetti strand is a crime against engineering, structural mechanics and…well, interesting science in general! The Experiment: Observe the fragmentation patterns of spaghetti. Materials & Methods: You will need: • Your hands • A minimum of 3 strands of uncooked spaghetti (although when I do this I usually end up using about 20-30!!!) • A pen (to record you observations) • The Table of Results (see Page 2) Here’s what you do: • Take the ends of an uncooked strand of spaghetti in each hand • Bend the spaghetti strand slowly by bringing your hands together until the strand breaks • RECORD YOUR OBSERVATION in the Table of Results (Trial A): e.g., how did the spaghetti break; into how many pieces, etc… • Repeat the procedure two more times and record observations each time (Trials B & C) (CRAM Q: Why do we repeat an experiment 3 times?) …fill your mind. THE LAB Results/Observations: Trial Observations A B C Table of Results Page 2 …fill your mind. THE LAB Here’s what I got: OK, I admit it; I did this procedure more than 3 times…just because it’s fun to break pasta! Each time I did it the stick of spaghetti would bend, and then break into 3-or-more pieces…NEVER into two equal sized ones. The Explanation: What we are looking at is FRAMGENTATION (i.e., how objects shatter). Although this may seem trivial (breaking spaghetti…yippee!), researchers in France recently published a bona fide scientific research article about this exact phenomenon (Audoly & Neukirch, 2005). The paper is very complex, and has many equations in it, so let’s break down the main ideas: starting with the term elastic limit. This is a property that all solid materials have, and refers to the point when an object can no longer return to its original form in response to an applied load/stress/force. In simple terms: when the applied stress is greater than the material’s elastic limit, permanent atomic and/or molecular structure changes occur. According to the French publication, a strand of uncooked spaghetti is a “thin brittle rod”, which means that when the applied stress (i.e., bending the strand) is greater than the spaghetti’s elastic limit, the strand will break (…talk about permanent alteration of molecular structure!). When the strand of spaghetti is bent it will ultimately reach its limit of curvature, which causes the first break point. This initial break causes a “burst of flexural waves [through] the newly formed fragments”. Huh? Page 3 …fill your mind. THE LAB Look at it this way: 1. The initial break causes two fragments: INITIAL BREAK 2. The process of fragmentation causes waves of vibration in the two fragments: Wave of Vibration Wave of Vibration 3. Each fragment is now considered an independent “thin brittle rod”. The resulting waves of vibration cause additional curvature (i.e., bending) in the two fragments, due to the oscillations of the waves. This bending is not as obviously visible as when you bent the whole spaghetti strand, but nevertheless, it is there. 4. If the new bending, which result from the waves of vibration, causes a fragment to go past its limit of curvature the fragment will break again, and the process will repeat. SECOND BREAK Page 4 …fill your mind. THE LAB The Implications: Although we’re working with spaghetti, structural engineers can also apply the principles learned from these experiments. This new insight on fragmentation can influence the way metal rods are used to hold up buildings, the way bridges are built and even the measures taken to prevent broken bones…Thank goodness for spaghetti! -by Mira Ray, PhD References: Hallett, McFarland, Stinson, Hunt, Renninger, Sullivan. 2003. Physics for the Biological Sciences, 4th Edition. Canada: Thompson & Nelson. Audoly B and Neukirch S. 2005. Fragmentation of rods by cascading cracks: Why spaghetti does not break in half. Physical Review Letters 95: 095505. Piquepaille R. 2005. “Why spaghetti does not break in half”: http://blogs.zdnet.com/emergingtech/?p=17 Weiss P. 2005. That's the Way the Spaghetti Crumbles: Physicists solve a vexing kitchen puzzle. Science News 168(20):315 http://www.sciencenews.org/articles/20051112/bob10.asp Page 5 …fill your mind.