Question

2) The quarter circle gate of radius R and length L (into the paper) separates water from an unknown fluid. The gate is held in equilibrium due to the pressure

force of the water,the pressure force of the unknown fluid, and the weight of the gate. The weight of the gate acts through the centroid of the gate. The specific weight of water is Ywater = 62.4 Ib/ft°. The specific gravity of the gate is 0.2. Find the specific weight (Yx) of the unknown fluid.

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