SSC JE Mechanical Engineering 27 Sep 2019 Shift 1 Paper

Question : 105 of 200

Marks: +1, -0

Determine the total pressure on a circular plate of diameter 1.5 m which is placed vertically in water in such a way that the centre of plate is 3 m below the surface of water

52002.81 N
520.028 N
52.002 N
5200.281 N

Validate

Solution:

Given:
Diameter of circular plate

{d}=1.5 {m}, \ov {{x}}=3 {m}, \ ρ=1000 {kg} \/ {m}^{3}

{A}={\π}/{4} \×{d}^{2}={\π}/{4} \×1.5^{2}

{F}_{{H}}=\ ρg {A} \ov{{x}}

=1000 \×9.81 \×{\π}/{4} \×1.5^{2} \×3

{F}_{{H}}={5 2 0 0 7 . 1 0 3} {N} \≈ {5 2 0 0 2 . 8 1} {N}

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