Problems 1-9

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.
b)	Solve this formula for d.
c)	The accompanying graph shows C in terms of d for the Tartan 4100 (b = 13.5). For what displacement is the Tartan 4100 safe for ocean sailing?

Problem 104

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.
b)	Write d in terms of A and S.