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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 ___________
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- 2.943 kN
- 294.3 kN
- 29.43 kN
- 30.95 kN
Correct Option: C
29.43
Force on gate = | × 1.5 × 2 × G.yw | ![]() | 1.5 + | × 1.5 | ![]() | ||
2 | 3 |
= 0.8 × 9810 × 2.5 × 1.5
= 29.43 kN