MAT136H1 Lecture : 8.3 Physics & Engineering Applications Question #1 (Medium)

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Identifying which metric system is used is important. International metrics, then use water density of and remember to include gravity of and . An aquarium is long, wide and deep is filled with water. Determine 1) the hydrostatic pressure on the bottom of the aquarium, 2) the hydrostatic force on the bottom, and 3) the hydrostatic force on one end of the aquarium. Solution: since and the units are given in the us metric system, we can use the information for water density of which already includes the gravity. Therefore the hydrostatic pressure on the bottom of the aquarium is : since ( Therefore, the hydrostatic force on the bottom of the aquarium is , where lb is the unit for force: since the aquarium is deep, the integral will go from to . , area of each thin strip is . denotes how deep down the particular th stript is.

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