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3 years ago

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A tank 20 m deep and 7m wide is layered with 8m of oil,6m of water and 5m of mercury.complete total hydroatatic force.(density o

f oil and mercury is 800 and 13600kg/m respectively ).

1 answer:

professor190 [17]3 years ago

8 0

Answer:

F = 3.03 10⁷ N

Explanation:

We will eat by calculating the pressure in the tank

P = ρ g h

the pressure totals the sum of the pressure of each liquid

P_total = P_oil + P_water + P_Hg

P_total = ρ_oil g h_oil + ρ_water g h_water + ρ_Hg g h_Hg

P_total = g (ρ_oil h_oil + ρ_water h_water + ρ_Hg h_Hg)

P_total = 9.8 (800 8 + 1000 6 + 13 600 5)

P_total = 7,879 10⁵ Pa

The definition of Pressure is

P = F / A

F = P A

The area of a tank is the area of a circle

A = π r² = π d² / 4

F = P π d² / 4

let's calculate

F = 7,879 10⁵ π 7²/4

F = 3.03 10⁷ N

In this calculation the atmospheric pressure was not taken into account because they ask the hydrostatic pressure

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