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Come Sail Away (Posted on 2007-02-12) Difficulty: 3 of 5
A sailboat race is held on a river that runs directly North to South, with a current of 12 knots. A 25 mile race is held going downriver (south). The first heat is held early in the day when there is no wind. The second heat, also going downriver, is held later, when there is a 12 knot tailwind (from the North). In which heat are the fastest times recorded?

See The Solution Submitted by Kenny M    
Rating: 3.3333 (3 votes)

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Faster than the wind ... | Comment 9 of 10 |
Going upwind, increased speed leads to increased apparent winds which lead to even greater increased speeds and apparent winds.  The "positive feedback loop" is offset by friction with the surface.  Further, sailboats do not tend to sail faster than the wind, because of water turbulence.  But iceboats and land boats (typically with wheels on a desert) routinely go faster than the wind.

For ice boats, the current world record is 143 miles per hour in 72 knots of wind.  However, I think that the boat was not going upwind at the time.  If the boat is sailing at a 90 degree angle to the wind, for instance,  and if the sail is set to reflect the wind straight back, then it experiences a constant acceleration that is independent of its' speed.  In practice, I think that most ice boat records are set when the boat is sailing at about 120 degrees to the wind

  Posted by Steve Herman on 2007-02-19 12:45:56
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