1, One of the problems with debris in the ocean\'s that it\'s often difficult to
ID: 1552687 • Letter: 1
Question
1, One of the problems with debris in the ocean's that it's often difficult to see, because much of the object's under the surface of the water. An object with a density of 921 kg/m3 and a mass of 1795 kg is thrown into the ocean. Find the volume of the object sticking out of the water (Use Psea water = 1024 kg/m3).
2. A horizontal water main with a cross-sectional areao of 22o cm2 necks down to a pipe of area 40.6 cm2. Meters mounted in the flow on each side of the transition coupling show a change in gauge pressure of 75 kPa. Determine the flow rate through the system, taking the fluid to be ideal.
Explanation / Answer
1. Volume of object = mass / density
= 1795 / 921
= 1.95 m^3
Fnet = Fb - m g = 0
Vsumberged rho_water g = m g
Vsub x 1024 = 1795
Vsub = 1.75 m^3
Volume sticking out of water = 1.95 - 1.75
= 0.20 m^3
2. A1 V1 = A2 v2
22 v1 = 40.6v2
v1 = 1.845 v2
APplying bernoulli;s equation,
P1 + rho v1^2 /2 = P2 + rho v2^2 / 2
P2 - P1 = rho (v1^2 - v2^2) / 2
75 x 10^3 = 1000 (1.845^2 - 1)(v2^2) / 2
v2 = 7.90 m/s
volume flow rate = A2 v2
= 40.6 x 10^-4 m^2 x 7.90 m/s
= 0.032 m^3 /s
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