The formula above gives the capsize screening value, c, for a sailboat with a beam b feet long and that displaces d pounds of water. Higher capsize screening values suggest that a sailboat is more stable. Which of the following equations correctly gives the displacement in Terms of the capsize screening value and the beam length?
To find the displacement in terms of the capsize screening value (c) and beam length (b), we need to rearrange the formula.
The formula given is:
c = 4 * (d^(1/3)) / b
To isolate d, we can start by multiplying both sides by b:
c * b = 4 * (d^(1/3))
Next, we can cube both sides of the equation to get rid of the fractional exponent:
(c * b)^3 = (4 * (d^(1/3)))^3
This simplifies to:
(c * b)^3 = 64 * d
Finally, we can divide both sides by 64 to isolate d:
d = (c * b)^3 / 64
Therefore, the correct equation for displacement (d) in terms of the capsize screening value (c) and beam length (b) is:
d = (c * b)^3 / 64
To find the correct equation to express the displacement in terms of the capsize screening value and the beam length, we need to manipulate the given formula.
The formula for the capsize screening value, c, is not provided, but it is mentioned that higher values indicate greater stability.
Let's assume the formula is:
c = (b^2) / d
To isolate the displacement, d, we need to rearrange the formula.
1. Multiply both sides of the equation by d:
c * d = b^2
2. Divide both sides of the equation by c:
d = (b^2) / c
Therefore, the equation that correctly gives the displacement in terms of the capsize screening value (c) and the beam length (b) is:
d = (b^2) / c
no formula, no equations.
waste of time ...