The depth of the dam is 240 metre. The pressure of water at the bottom is
Question
The depth of the dam is 240 metre. The pressure of water at the bottom is
Solution
The pressure at the bottom of a fluid is given by the formula P = ρgh, where:
- P is the pressure,
- ρ is the density of the fluid,
- g is the acceleration due to gravity, and
- h is the height of the fluid above the point in question.
In this case, we're looking for the pressure at the bottom of a dam, so h is the depth of the dam, 240 meters.
The density of water is typically about 1000 kg/m³, and the acceleration due to gravity is about 9.8 m/s².
So, we can substitute these values into the formula to find the pressure:
P = ρgh P = (1000 kg/m³)(9.8 m/s²)(240 m) P = 2352000 Pa
So, the pressure at the bottom of the dam is 2352000 Pascals.
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