Page 208 - statbility for masters and mates

196 Ship Stability for Masters and Mates
Let GG1 represent the actual rise of G due to the mass discharged. The mass of water discharged (w) 15 10 1 1:025 tonnes
w 153:75 tonnes
W2 W1 w 8153:75 153:75
8000 tonnes GG1 w d
W2
153:75 6
8000 GG1 0:115 m
Let G1Gv represent the virtual loss of GM due to free surface or rise in G1. Then:
G1Gv i r1 1 W n2
n 1 ;G1Gv Wi rSW
2
Loss in GM FSE
G1Gv 15 103 1:025 12 8000
G1Gv 0:160m " Old KM 8:000 m
Old KG 7:500 m
Old GM 0:500 m Actual rise of G 0:115 m
0:385 m GMsolid G1Gv VirtualriseofG 0:160m "
as per equation (I)
or
or
lb3 G1Gv 12 W n2
rSW 1 2
Ans. New GM 0:225 m GMfluid
0:225 m