SOLUTION: The maximum hull speed, S, is directly proportional to the square root of the length of the water line, L, on a sailboat. A boat with an L of 16.5 feet can go 5.4 knots.
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-> SOLUTION: The maximum hull speed, S, is directly proportional to the square root of the length of the water line, L, on a sailboat. A boat with an L of 16.5 feet can go 5.4 knots.
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Question 164708: The maximum hull speed, S, is directly proportional to the square root of the length of the water line, L, on a sailboat. A boat with an L of 16.5 feet can go 5.4 knots.
What is the variation constant?
This is the formula we came up with: 5.4=k(square root of 16.5)
We could not get any further. Thanks Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! The maximum hull speed, S, is directly proportional to the square root of the length of the water line, L, on a sailboat. A boat with an L of 16.5 feet can go 5.4 knots.
What is the variation constant?
:
That's the equation you have, just solve for k: *k = 5.4
:
Square both sides
16.5*k^2 = 5.4^2
:
16.5*k^2 = 29.16
k^2 =
k^2 = 1.7673
k =
k = 1.33 is the variation constant
:
:
The formula for this design: S = 1.33
;
Check our solution. let L = 16.5
S = 1.33
S = 1.33 * 4.06
S = 5.3998 ~ 5.4
