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America’s Cup where each millisecond counts for millions

December6

In 1851, a team from New York Yacht Club won a race around the Isle of Wight off the south coast of England. They beat 15 British boats to take the Hundred Guinea Cup, a silver trophy valued at £100. Of course, the British were ‘not amused’!

Subsequently named the America’s Cup after the victorious 100 foot-long yacht, America, the contest has become the world’s best-known sailing race.

It is a sport driven by technology, which makes it very expensive because you are looking for cutting-edge innovation . . . tens of thousands (of dollars) to find a millisecond’s worth of difference,” says Rob Wilson, a sports economist at Sheffield Hallam University in the UK. “You have a huge backroom of staff just to put one boat on the water.” [source: Financial Times]

With four AC75s now successfully launched and actively foiling, what have we learned about the outcomes of the various design strategies chosen by each of the teams for their first-generation boats? One thing seems clear – that there is more than one way of creating a 75-foot monohull that flies above the water on foils (called ‘foiling’) – a fact evidenced by the four distinctly different looking yachts that the teams have independently come up with. There are so many ways to compare and contrast just how different all four boats look. For instance, the cigar-shaped bow of American Magic’s Defiant and the striking cutaway foredeck and slab sides of Ineos Team UK’s Britannia.

Then there is the comparatively flat bottoms of the American’s and British boats compared to the rounded and v-shaped longitudinal ‘bustles’ underneath the Emirates Team New Zealand and Luna Rossa Prada Pirelli boats respectively.  What if in fact – at this stage – nobody is 100 per cent right, or 100 per cent wrong? Given that all four teams have been up and foiling on these revolutionary boats within days on launching them, isn’t it possible that all four have come up with competitive designs – the performance of which may vary only marginally based on weather conditions and the speed with which the crews get to grips with sailing them?

The reality is that there are so many differences between the four boats that we cannot hope to see even if we were charging alongside in a chase boat. Those are the hidden differences in the systems that control the flaps on the foils, that determine the constantly shifting 3-D aerodynamic shape of the ground-breaking double-skinned mainsails, and a myriad of other complex elements that make up these highly technological AC75s. [source here]

Check out the concept of the next Americas Cup boats in this video:

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10 x 9 x 8 + (7 + 6) x 5 x 4 x (3 + 2) x 1 = 2020

NCEA Level 2 Algebra Problem. Using the information given, the shaded area = 9, that is:
y(y-8) = 9 –> y.y – 8y – 9 =0
–> (y-9)(y+1) = 0, therefore y = 9 (can’t have a distance of – 1 for the other solution for y)
Using the top and bottom of the rectangle,
x = (y-8)(y+2) = (9-8)(9+2) = 11
but, the left side = (x-4) = 11-4 = 7, but rhs = y+? = 9+?, which is greater than the value of the opp. side??
[I think that the left had side was a mistake and should have read (x+4)?]

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