numerical problem: A ground water tank has dimension of 5m,3m and 2m . Calculate the pressure at its bottom when it is completely filled. (g=9.8m/s^2).
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Explanation:
The volume of the water tank = 5 * 3 * 2 = 30m^3.
At 4°C = 39.2°F water has its greatest density ( p ) of 1. Its weight = 30,000kg.
The Width and Length dimensions are not made clear in the specification.
It is therefore impossible to calculate the area upon which the weight rests and consequently determine the pressure = weight/area (N/m^2).
There are three possible answers based upon the height of the tank water.
Using: P = m * g * h
P(h = 5) = 30,000 * 9.8 * 5 = 147MN/m^2.
P(h = 3) = 30,000 * 9.8 * 3 = 882kN/m^2.
P(h = 2) = 30,000 * 9.8 * 2 = 588kN/m^2.
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