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*To*: "Box, Rick" <rbox@crateandbarrel.com>*Subject*: Re: Could Tyrannosaurus Rex jump?*From*: Martin Baeker <martin.baeker@tu-bs.de>*Date*: Fri, 9 Jan 2015 12:42:38 +0100 (CET)*Cc*: "dinosaur@usc.edu" <dinosaur@usc.edu>*In-reply-to*: <CAPQv5Zi2Cpnz0PBRg8_9ROvBC7OXuLDVbE46W7BV+-4dLzD7zA@mail.gmail.com>*References*: <CAPQv5Zi2Cpnz0PBRg8_9ROvBC7OXuLDVbE46W7BV+-4dLzD7zA@mail.gmail.com>*Reply-to*: martin.baeker@tu-bs.de*Sender*: owner-DINOSAUR@usc.edu

Asking for a friend. What's the consensus? Has anyone tried to tackle this question?

It is not too difficult to do a back-of-the-envelope estimate of this. According to our paper Gatesy, Stephen M., Martin Bäker, and John R. Hutchinson. "Constraint-based exclusion of limb poses for reconstructing theropod dinosaur locomotion." Journal of Vertebrate Paleontology 29.2 (2009): 535-544. you can expect a max. force of a single T. rex leg of about 1.5 body mass. You get this when the leg is still fairly straight, bent about 50cm or so compared to a fully stretched leg. So if you assume for simplicity that the force is constant throughout (this is an overestimate), with a single leg you could get enough energy to jump 75cm high; perhaps a bit more if you do some tricks with your tail, ot if you bend down further (but too much bending is not possible). Jumping with both legs wuld roughly double this. So overall, a jump of 1meter or a bit more seems realistic, but since the T. rex could overcome that height difference with a simple step, there's probably no need to run. In general, it should also be taken into account that a simple scaling estimate shows that all animals should jump to roughly the same height: muscle force scales as area (with length of animal squared), the energy is force multiplied by length, so total energy is proportional to l**3, as is mass. Using the potential energy equation W=m g h, the l**3-term cancels out. (Of course special adaptations can change this simple picture. Please also note that jumping height is always to be calculated relaive to the position of the center of mass - a human jumping over a 2m bar raises her center of mass only by a bit more than a meter.) Hope this helps a bit, Martin. Priv.-Doz. Dr. Martin Bäker Institut für Werkstoffe Technische Universität Braunschweig Langer Kamp 8 38106 Braunschweig Germany Tel.: 00-49-531-391-3065 Fax 00-49-531-391-3058 e-mail <martin.baeker@tu-bs.de> http://www.tu-braunschweig.de/ifw/institut/mitarbeiter/roesler1 http://www.scienceblogs.de/hier-wohnen-drachen

**References**:**Could Tyrannosaurus Rex jump?***From:*"Box, Rick" <rbox@crateandbarrel.com>

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