Maths – 103. sailboat stability

In the body of your essay, do the following:

Explain what each of the three variables represents in problem 103.

103. 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

C=4d^-1/3b

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?

Demonstrate your solution to all three parts of the problem, making sure to include all mathematical work and an explanation for each step.

Explain why the use of this equation is important for shipbuilders.

Incorporate the following math vocabulary words into your discussion. Use bold font to emphasize the words in your writing (Do not write definitions for the words; use them appropriately in sentences describing your math work.)