A spherical tank of 1.2 m radius is half filled with oil of relative density 0.8. If the tank is given a horizontal acceleration of 10m s⁻². Calculate the inclination of the oil surface to horizontal and maximum pressure on the tank.
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Question

A spherical tank of 1.2 m radius is half filled with oil of relative density 0.8. If the tank is given a horizontal acceleration of 10m s⁻². Calculate the inclination of the oil surface to horizontal and maximum pressure on the tank.

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G1 Physics · Accepted Answer

Step 1: Use continuity A₁v₁ = A₂v₂ and Bernoulli's equation P + ½ρv² + ρgh = constant; for jets use momentum flux ṁΔv. Step 2: Substitute the stated areas, levels and pressures, including Torricelli v = √(2gh) where applicable. Applying these relations to the given data gives A: 45°, 9600√2 Pa. Final answer: A.