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📝 Fluid Force On A Vertical Surface

📖 From Calculus • 7. Applications of the Definite Integral In Geometry, Science, and Engineering • 23 questions available

Practice MCQs for Fluid Force On A Vertical Surface. Test your knowledge with carefully crafted questions across easy, medium, and hard difficulty levels.

🔄 Last updated: 2026-07-16

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📝 Sample Questions

Q1. What is the expression for pressure at a depth \\(h\\) in a fluid of density \\(\\rho\\) under gravity \\(g\\)?

🔹 A. \\(p = \\rho g h\\)

🔹 B. \\(p = \\rho h\\)

🔹 C. \\(p = g h\\)

🔹 D. \\(p = \\rho g\\)

💡 Difficulty: easy | ✅ Correct: A

Q2. A gate 3 m wide and 2 m high is submerged with its top edge 1 m below the water surface. What is the hydrostatic force on the gate?

🔹 A. \\(F = ρg \\cdot 3 \\cdot (1+2)^{2}/2\\)

🔹 B. \\(F = ρg \\cdot 3 \\cdot (1+2)\\)

🔹 C. \\(F = ρg \\cdot 3 \\cdot (1^{2}+2^{2})/2\\)

🔹 D. \\(F = ρg \\cdot 3 \\cdot 2^{2}\\)

💡 Difficulty: medium | ✅ Correct: C

Q3. A vertical surface defined by width \\(w(y)=1+0.5y\\) for \\(0\\le y\\le6\\) m is submerged in water of density \\(\\rho\\). Which integral gives the resultant force?

🔹 A. \\(F=\\rho g \\int_{0}^{6} y(1+0.5y)\\,dy\\)

🔹 B. \\(F=\\rho g \\int_{0}^{6} (1+0.5y)\\,dy\\)

🔹 C. \\(F=\\rho g \\int_{0}^{6} y^{2}(1+0.5y)\\,dy\\)

🔹 D. \\(F=\\rho g \\int_{0}^{6} y(1-0.5y)\\,dy\\)

💡 Difficulty: hard | ✅ Correct: B

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🔗 Related Topics

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