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Fluid mechanics and hydraulics miscellaneous

Fluid Mechanics and Hydraulics

  1. A triangular gate with a base width of 2 m and a height of 1.5 m lies in a vertical plane. The top vertex of the gate is 1.5 m below the surface of a tank which contains oil of specific gravity 0.8. Considering the density of water and acceleration due to gravity to be 1000 kg/m³ and 9.81 m/s² respectively, the hydrostatic force (in kN) exerted by the oil on the gate is ___________
    1. 2.943 kN
    2. 294.3 kN
    3. 29.43 kN
    4. 30.95 kN
Correct Option: C

29.43

Force on gate =
1
× 1.5 × 2 × G.yw1.5 +
2
× 1.5
23

= 0.8 × 9810 × 2.5 × 1.5
= 29.43 kN



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