Find the water pressure at the base of the Hoover Dam if the depth of water behind it is 220 m.
Answer (3)
The water pressure at the base of the Hoover Dam is *** 2.16 × 106 N/m2.*** ;
The water pressure at the base of the Hoover Dam is calculated to be 2,158,200 Pascals. This is derived using the formula for pressure in a fluid.
The depth of water behind the Hoover Dam is 220 m. To find the water pressure at the base of the dam, we can use the formula for pressure in a fluid, which is given by:
Pressure (P) = density (ρ) × gravitational acceleration (g) × height (h)
Where:
ρ (density of water) = 1000 kg/m³
g (gravitational acceleration) = 9.81 m/s²
h (depth of water) = 220 m
Thus, using the given values:
P = 1000 kg/m³ × 9.81 m/s² × 220 m = 2,158,200 Pascals (Pa)
This means the water pressure at the base of the Hoover Dam is 2,158,200 Pascals.
The water pressure at the base of the Hoover Dam, due to a water depth of 220 meters, is calculated to be 2,158,200 Pascals using the formula for hydrostatic pressure. This calculation involves the density of water, the acceleration due to gravity, and the height of the water column. Therefore, the pressure exerted by the water is substantial, impacting the structural integrity of the dam.
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