A vertical dam on a large lake is 30 ft tall and 60 ft wide, and the water level is 2 ft below the top of the dam. In the middle of the dam at the very bottom is a gate in the shape of an isosceles triangle 12 ft on a side. Find the hydrostatic force (in lb) on the gate.
A vertical dam on a large lake is 30 ft tall and 60 ft wide, and the water level is 2 ft below the top of the dam. In the middle of the dam at the very bottom is a gate in the shape of an isosceles triangle 12 ft on a side. Find the hydrostatic force (in lb) on the gate.
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A vertical dam on a large lake is 30 ft tall and 60 ft wide, and the water level is 2 ft below the top of the dam. In the middle of the dam at the very bottom is a gate in the shape of an isosceles triangle 12 ft on a side.
Find the hydrostatic force (in lb) on the gate.
Expert Solution
Step 1
The density of water = . The water level is 2ft below the top of the dam. This means that the water level is at 28 ft. The 28ft height water column will exert a hydrostatic pressure on the gate at the bottom.
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