A ship having a displacement of 20000 metric tones enters a harbor of
fresh water. The ship captain recorded a draft of 8.4 m. while the ship
was still in seawater (sp.gr. = 1.03). Obtain the draft in meters of the ship
in fresh water if the horizontal section of the ship below the water line is
3000 m3 in both instances.
Solution:
Vol. displaced in seawater:
W = V (sp.gr.) γw w.s. W
20000(1000) = V1(1.03)(1000)
8.4m
V1 = 19417.48 m3
BF1
Sea water (sp. gr. = 1.03)
Vol. displaced in fresh water:
20000(1000) = V2(1000)
V2 = 20000 m3
V2 – V1 = h(A) W
w.s.
20000 – 19417.48 = h(3000) h
h = 0.194 m d
8.4m
Draft in fresh water = 8.4 + 0.194 BF2
Fresh water
Draft in fresh water = 8.594 m.
, Refresher - HYDRAULICS Quiz 6
PROBLEM 2:
An iceberg having a specific gravity of 0.90 floats in salt water having a
specific gravity of 1.03. If the volume of the ice above the surface is 500
m3, what is the volume of the iceberg? m3
Solution:
Sp. gr. = 0.90
V2 = V - 500 w.s. V1 = 500
BF = V2 (1.03)(9.81)
BF = 10.1043 V2 V2
W = V(0.90)(9.81)
Sp. gr. = 1.03
W = 8.829 V
BF = W
10.1043 V2 = 8.829 V
10.1043 (V - 500) = 8.829 V
1.2753 V = 5052.15
V = 3962 m3
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller DocuPlex. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $7.99. You're not tied to anything after your purchase.