It is proposed to build a raft of pine logs for carrying a cargo on a river. The cargo will weigh 500 kg, and it must be kept entirely above the water level. How many kilograms of pine logs must we use to make the raft, if the logs may be entirely submerged, and they have SG

Question

Keenan Schultz

Mathematics

21 November, 10:47

It is proposed to build a raft of pine logs for carrying a cargo on a river. The cargo will weigh 500 kg, and it must be kept entirely above the water level. How many kilograms of pine logs must we use to make the raft, if the logs may be entirely submerged, and they have SG

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Answers (1)

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Camila Richard · Answer 1

They will need 200kg of pine logs.

Gauge pressure in the tank = 24045.29 Pa

Absolute pressure = 125370.29Pa

Step-by-step explanation:

Full question:sp. gr=0.8. The fluid in the nanometer is ethyl iodide with sp. gr = 1.93. The manometric fluid height is 50 inches. What is the gauge pressure and absolute pressure in the tank?

Converting 50inches to metres. Multiply by 0.0254

50*0.0254=1.27m

Gauge pressure in tank is given by:

P = pgh

Where p = density, g = acceleration due to gravity, h = height

P = 1.93 * 1000 * 9.81 * 1.27 = 24045.29Pa

Absolute pressure=Ptotal = Pliquid + Patm

Absolute pressure = 24045.29 + 101325=125370.29pa