Question 103 Sailboat stability:To be considered safe for the ocean sailing, the capsize screening

Question 103 Sailboat stability:To be considered safe for the ocean sailing, the capsize screening value Cshould be less than 2. For a boat with a beam (or width) bin feet and displacement d in pounds, C is determined by the function C= 4d^-1/3b

A. Find the capsized screening value for the Tartan 4100, which has a displacement of 23,245 pounds and a beam of 13.5 feet.

B. Solve this 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?

Question 104 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 dpounds and a sail area of Asquare feet S is determined by the function S = 16Ad^-2/3.

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.