6_Hydraulics Practice Quiz with Answer and Solution

Refresher - HYDRAULICS Quiz 6
PROBLEM 1:

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