An 800 ft ship has a displacement of 35,000 tons, and the
area defined by the waterline is 38,000 ft2
. Will the ship take
more or less draft when steaming from salt water to fresh water?
How much will it settle or rise?
ρs>ρf,\rho _s>\rho_f,ρs>ρf, it will settle.
V=Sh,V=Sh,V=Sh,
FA=ρ1gV1=ρ2gV2,F_A=\rho_1 gV_1=\rho_2gV_2,FA=ρ1gV1=ρ2gV2,
ρ1Sh1=ρ2Sh2=m,\rho_1Sh_1=\rho_2Sh_2=m,ρ1Sh1=ρ2Sh2=m,
Δh=h1−h2=mS(1ρ1−1ρ2)=26 cm.\Delta h=h_1-h_2=\frac mS(\frac 1{\rho _1}-\frac 1{\rho_2})=26~cm.Δh=h1−h2=Sm(ρ11−ρ21)=26 cm.
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