Questions


Related Questions:


Questions

Asked By :  Breka
Answers1

Your vessel is floating in water of density 1010 the fresh

Your vessel is floating in water of density 1010. The fresh water allowance is 8 inches. How far below her marks may she be loaded so as to float at her mark in saltwater of density 1025?




Answers :

0

To solve this problem, we need to understand the concept of fresh water allowance (FWA) and how the change in water density affects the vessel's draft.

The fresh water allowance is the extra depth a vessel will sink when transitioning from salt water to fresh water, due to the difference in water density.

Given:

  • Water density (freshwater) = 1010 kg/m³
  • Water density (saltwater) = 1025 kg/m³
  • Fresh water allowance (FWA) = 8 inches

First, calculate the ratio of the densities: Density Ratio=Density of SaltwaterDensity of Freshwater=10251010\text{Density Ratio} = \frac{\text{Density of Saltwater}}{\text{Density of Freshwater}} = \frac{1025}{1010}

Density Ratio1.01485\text{Density Ratio} \approx 1.01485

The vessel will sink deeper in fresh water because fresh water is less dense than salt water. We need to determine how far below her marks the vessel can be loaded in fresh water to just float at her marks when she moves to salt water:

FWA=(Density of SaltwaterDensity of FreshwaterDensity of Saltwater)×Draft\text{FWA} = \left(\frac{\text{Density of Saltwater} - \text{Density of Freshwater}}{\text{Density of Saltwater}} \right) \times \text{Draft}

Given that the total change in draft (FWA) is specified in inches:

ΔDraft (inches)=8 inches\Delta \text{Draft (inches)} = \text{8 inches}

This means when the vessel transitions from fresh water to salt water, it will rise by 8 inches. Therefore, we need to calculate how much deeper it can be loaded in fresh water to maintain the correct draft in salt water.

Since the question asks for "how far below her marks the vessel may be loaded," we need to use the density ratio calculated earlier to find the movement caused by the density change:

For saltwater: Loaded Condition in Freshwater=Loaded Condition in Saltwater+FWA\text{Loaded Condition in Freshwater} = \text{Loaded Condition in Saltwater} + FWA

Loaded Condition in Freshwater=DraftSaltwater+8 inches\text{Loaded Condition in Freshwater} = \text{Draft}_{\text{Saltwater}} + \text{8 inches}

This means the vessel will sink by 8 inches more in fresh water than in salt water, so when it floats in salt water, it will rise by 8 inches.

Thus, the answer is: D) 8.0 inches


Answered By

Tanya Spence

Your Answer

XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
Write your answer, be as detailed as possible...

Reply as a guest

Required but never shown

Try Now AI powered Content Automation