A semicircular plate with radius 9 m is submerged vertically in water so that the top is 3 m above the surface. Express the hydrostatic force against one side of the plate as an integral and evaluate it. (Round your answer to the nearest whole number. Use 9.8 m/s2 for the acceleration due to gravity. Recall that the weight density of water is 1000 kg/m3.)

Question

zenmo · Answer

Expressing the integral as
$$2pg \int\limits_{3}^{9}[(x-3)\sqrt{81-x^2}]dx$$

How would I solve this?

parthkohli · Answer

Substitute $x = 9 \cos  \theta $.

mrnood · Answer

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Which orientation!!!