On a vessel of 10,000 tons displacement, compute the reduction in metacentric height due to free surface in a hold having free water on the tank top. The hold is 40 feet (12.19 m) long and 50 feet ( 15.24 m)wide. The reduction in metacentric height is __________.
A, 1.1 feet (0.335 m)
B. 1.2 feet (0.366 m)
C. 1.3 feet (0.393 m)
D. 1.5 feet (0.457 m)
A, 1.1 feet (0.335 m)
B. 1.2 feet (0.366 m)
C. 1.3 feet (0.393 m)
D. 1.5 feet (0.457 m)
B
ReplyDeleteThe basic Free Surface Correction for a Rectangular Tank is
ReplyDelete(length of the tank)x(width of the tank)^3/12 x Displaced Volume
Where:
Length of the tank top = 40 feet
Width of the tank top = 50 feet
Displacement = 10,000 tons
Displaced Volume = (35 cubic feet/ton)x 10,000 tons = 350,000 cubic feet
Evaluating the formula
(40 ft)(50ft)(50ft)(50ft)/12(350,000cubic feet) = 1.1904 ft ANS
So the best answer is B. and I AGREE with Ken!
Do you agree or disagree?