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**Unformatted text preview: **Aminata Kamara
Assignment
Week III
1. Sailboat stability. To be considered safe for ocean sailing, the capsize screening value C
should be less than 2 (www.sailing.com). For a boat with a beam (or width) b in feet and
displacement d in pounds, C is determined by the function
a) Find the capsize screening value for the Tartan 4100, which has a displacement of
23,245 pounds and a beam of 13.5 feet.
C = 4d^-1/3b
C = 4(23,245)^-1/3(13.5) value of the problem
C= 1/23245^1/3 * 4(13.5) exponent apply first
C = 54/3(23245)^2/23245 multiplication is done
C = 0.07
b Solve this formula for d
).
C/4b = 4d^-1/3 b /4b both side divide by 4d
C/4b = d^-1/3
(c/4b)^-3 = (d^-1/3)^-3 all part is raised to -3
C = 64b^3
C^-3/(4b)^-3 = (c/4b)^-3 = d
1. Sailboat speed. The sail area-displacement ratio S provides a measure of the sail
power available to drive a boat. For a boat with a displacement of d pounds and a
sail area of A square feet S is determined by the function
a) Find S to the nearest tenth for the Tartan 4100, which has a sail area of 810 square feet
and a displacement of 23,245 pounds.
S=16(810)(23,245)^(-2/3) multiplied
S=12960(0.0012)
S=15.55
b Write d in terms of A and S.
)
S/16a = 16a/16a d^-23
(S/16a)^-2/3 (d^-2/3) ^-2/3 both side divide by 16a
(16a)^2/3/(s) ^2/3 = d now d is place on the right hand side for the final answer
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