Question #37626

Two chambers are filled with a fluid. The ceiling of chamber 1 is at the same level as the floor of chamber 2. The pressure at the floor of chamber 2 is 1.7 × 105 Pa. If the area of the ceiling of chamber 1 is 2.0 m2, what is the magnitude F of the force exerted by the fluid on the ceiling of chamber 1?

Expert's answer

Answer on Question#37626 – Physics - Other

Two chambers are filled with a fluid. The ceiling of chamber 1 is at the same level as the floor of chamber 2. The pressure at the floor of chamber 2 is 1.7×105 Pa1.7 \times 10^{5} \mathrm{~Pa}. If the area of the ceiling of chamber 1 is 2.0 m22.0 \mathrm{~m}^{2}, what is the magnitude F of the force exerted by the fluid on the ceiling of chamber 1?

Solution:

pressure=forceareaforce=pressure×area=1.7×105 Pa2 m2=340×103 N=340 kN\begin{array}{l} \text{pressure} = \frac{\text{force}}{\text{area}} \Rightarrow \text{force} = \text{pressure} \times \text{area} = 1.7 \times 10^{5} \mathrm{~Pa} \cdot 2 \mathrm{~m}^{2} \\ = 340 \times 10^{3} \mathrm{~N} = 340 \mathrm{~kN} \end{array}

Answer:

magnitude of the force exerted by the fluid on the ceiling of chamber 1 is equal to 340kN340\mathrm{kN}

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