Calculate the water pressure at the base of the Hoover Dam. The depth of water behind the dam is 220
To calculate the water pressure at the base of the Hoover Dam, we can use the formula for pressure: P = ρgh, where P is the pressure, ρ is the density of water, g is the acceleration due to gravity, and h is the height (depth) of the water.
Let's break down the calculation step by step:
1. Find the density of water: The density of water is approximately 1000 kg/m³.
2. Determine the acceleration due to gravity: The standard value for acceleration due to gravity is approximately 9.8 m/s².
3. Measure the height (depth) of the water: You mentioned that the depth of water behind the dam is 220 meters.
Now, let's put the values into the formula and calculate the water pressure:
P = ρgh
P = (1000 kg/m³) * (9.8 m/s²) * (220 m)
By multiplying these values together, we get the water pressure at the base of the Hoover Dam.
Note: The pressure will be given in units of Pascals (Pa) or Newtons per square meter (N/m²).