Question #273238

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?

1
Expert's answer
2021-11-29T19:08:39-0500

ρs>ρf,\rho _s>\rho_f, it will settle.

V=Sh,V=Sh,

FA=ρ1gV1=ρ2gV2,F_A=\rho_1 gV_1=\rho_2gV_2,

ρ1Sh1=ρ2Sh2=m,\rho_1Sh_1=\rho_2Sh_2=m,

Δh=h1h2=mS(1ρ11ρ2)=26 cm.\Delta h=h_1-h_2=\frac mS(\frac 1{\rho _1}-\frac 1{\rho_2})=26~cm.


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