Answered

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An oil tank has a base of area 2.5 m2 and is filled with oil to a depth of 1.2 m. The density of the
oil is 800 kg/m3. What is the force exerted on the base of the tank due to the oil?
A. 960N
B. 2400N
C. 9600N
D. 24 000N

Sagot :

rafaleo84

Answer:

D. F = 24000[N]

Explanation:

To be able to calculate the force we must first find the pressure at the bottom of the tank. By means of the following equation:

[tex]P=Ro*g*h[/tex]

where:

Ro = density of the liquid = 800 [kg/m³]

g = gravity acceleration = 9.81 [m/s²]

h = elevation = 1.2 [m]

[tex]P=800*9.81*1.2\\P=9417.6[Pa][/tex]

Pressure is defined as the relationship between Force on the area.

[tex]P=F/A\\F=9417.6*2.5\\F = 23544 [N] = 24000[N][/tex]

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