Peter Rathmann prathman_at_attbi.com wrote: Matt Broze wrote: > [Lots of good information about hull speed and wave-making.] ... > Holding a heavy > boat up against gravity means that a lot of energy is being used to do so ... >>>>>>While I commend you on a good description of hull speed and the transition between displacement and planing regimes, I do have a quibble with the above sentence. It takes energy to initially lift the boat against gravity when it starts to plane, but no further work is done against gravity once the boat is at a constant level while planing. In the same way energy is required to lift your boat up onto some sawhorses, but the sawhorses do not expend any energy while holding the boat up at a constant height.<<<<<<<< If this is true can we also infer that no energy is being used to keep a plane in the air that is flying straight and level (other than that required to overcome friction-or the sound wave barrier)? To remain at a certain height against gravity an equal and opposite force must counteract the downward acceleration due to gravity. The ground provides this equal an opposite force. So do those sawhorses solidly resting on the earth. The water provides an equal and opposite force for a floating object only once it has displaced enough water to equal the weight of the object. Crawl under the sawhorses and lift the kayak another 6 inches off of them and hold it up there for a few hours. The kayak didn't move once you lifted it. Are you providing any energy to hold it up? Damn right, you had to take over the roll of the sawhorses to provide the equal and opposite force to the acceleration downward due to gravity and you will expend energy to do so just not as much as in lifting it higher. A planning boat is no longer displacing enough water to totally do that job. The energy that powers the boat is providing the difference it takes to hold itself up (the inclined plane--due to the density of water and the speed of the boat) against gravity. >>>>>>The energy required to move a planing boat goes into wave formation, surface friction, air resistance, and some losses to turbulence at the propellor (or paddle) to water interface. Adding up all of these will give the total energy with no additional amount needed to hold the boat up against gravity.<<<<<<<<<< Because the planing boat is not so deep in the water as it was before it was planning the waves are much smaller (water waves are also a manifestation of gravity but I won't go into that here). Certainly friction and air resistance go up with speed although the area of wetted surface goes down with increasing speed so the frictional drag is no longer climbing at near the square of the speed. Certainly there was extra energy used to lift the boat up on to the plane (just like when you first lift the boat off the sawhorses) but you have to keep providing plenty of energy to it to keep it up there. Matt Broze http://www.marinerkayaks.com *************************************************************************** PaddleWise Paddling Mailing List - Any opinions or suggestions expressed here are solely those of the writer(s). You must assume the entire responsibility for reliance upon them. All postings copyright the author. Submissions: PaddleWise_at_PaddleWise.net Subscriptions: PaddleWise-request_at_PaddleWise.net Website: http://www.paddlewise.net/ ***************************************************************************Received on Wed Dec 11 2002 - 22:42:57 PST
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