- #141
zoobyshoe
- 6,510
- 1,291
This is dazzling at first, and can easily lure someone into thinking there's a way to translate it to ddwfttw, but the skeeter, itself cannot do it, which should give you pause. The fact we can sail 45 degrees off the wind if we exchange square sails for sloop sails suggests that an even cleverer sail might be able to go directly into the wind. There's that thing where if you stand a yardstick up vertically and let it fall the tip will have accelerated faster than g when it hits the deck, which is popularly known as "Freefall Faster Than g". It might suggest that there's also probably a way to freefall straight down faster than g.Jeff Reid said:OK, that was a theoretical extreme. How about an iceboat downwind component during a downwind tack? Although more efficient than a DDWFTTW cart, perhaps it will demonstrate the possibility. A link to a .pdf file from an ice boat web site:
http://www.nalsa.org/Articles/Cetus/Iceboat Sailing Performance-Cetus.pdf
There's are a couple of diagrams from a real iceboat run. In the second one, "downwind angles: Skeeter", the wind speed is 18 mph, and the ice boat's heading is 30 degrees offset from true downwind. The apparent crosswind speed is 18 mph x sin(30) = 9 mph, regardless of the iceboats speed. In this case, the iceboat can achieve an apparent headwind speed of 54.4 mph with an apparent crosswind of 9 mph. This tranlates into a ground speed of 70 mph for the ice boat, and an apparent total wind of 55.15 mph (shown as 55 mph in the diagram, I included the .15 so the heading angle offset was 30 degrees). The net downwind speed is 70 mph x cos(30) = 60.6 mph, over 3 times the speed of the wind. Using my numbers (55.15 mph), and a 30 degree heading, I calculate a Beta of 9.4 degress (atan(9/54.4)) about 6:1 as opposed to the 8 (about 7:1) degress shown on the diagram, I'm not sure if this was a mistake or due to rounding errors.
The most convincing argument will be a proof: make an actual cart and send it down wind outdoors. Clock it and clock the windspeed. It should be easier to make an actual cart than the whole turntable thing swerda made.