The gauge water pressure at the base of the dam is about 2.17 × 10⁶ Pa
[tex]\texttt{ }[/tex]
Further explanation
Let's recall Hydrostatic Pressure formula as follows:
[tex]\boxed{ P = \rho g h}[/tex]
where:
P = hydrosatic pressure ( Pa )
ρ = density of fluid ( kg/m³ )
g = gravitational acceleration ( m/s² )
h = height of a column of liquid ( m )
Let us now tackle the problem!
[tex]\texttt{ }[/tex]
Given:
depth of the lake = h = 221 m
Asked:
gauge water pressure = P = ?
Solution:
We will use Hydrostatic Pressure formula above to calculate the gauge water pressure at the base of the dam as follows:
[tex]P = \rho g h[/tex]
[tex]P = 1000 \texttt{ kg/m}^3 \times 9.8 \texttt{ m/s}^2 \times 221 \texttt{ m}[/tex]
[tex]P = 2 165 800 \texttt{ kg/ms}^2[/tex]
[tex]\boxed {P = 2.17 \times 10^6 \texttt{ Pa}}[/tex] → rounded to 3 significant figures
[tex]\texttt{ }[/tex]
Conclusion:
The gauge water pressure at the base of the dam is about 2.17 × 10⁶ Pa
[tex]\texttt{ }[/tex]
Learn more
- Buoyant Force : https://brainly.com/question/13922022
- Kinetic Energy : https://brainly.com/question/692781
- Volume of Gas : https://brainly.com/question/12893622
- Impulse : https://brainly.com/question/12855855
- Gravity : https://brainly.com/question/1724648
[tex]\texttt{ }[/tex]
Answer details
Grade: High School
Subject: Physics
Chapter: Pressure
