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2 years ago

Water in the lake behind hoover dam is 221 m deep. part a what is the gauge water pressure at the base of the dam?

Physics

2 answers:

Wittaler [7]2 years ago

7 0

The gauge water pressure at the base of the dam is about 2.17 × 10⁶ Pa

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<h3>Further explanation</h3>

Let's recall Hydrostatic Pressure formula as follows:

$\boxed{ P = \rho g h}$

<em>where:</em>

<em>P = hydrosatic pressure ( Pa )</em>

<em>ρ = density of fluid ( kg/m³ )</em>

<em>g = gravitational acceleration ( m/s² )</em>

<em>h = height of a column of liquid ( m )</em>

Let us now tackle the problem!

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<u>Given:</u>

depth of the lake = h = 221 m

<u>Asked:</u>

gauge water pressure = P = ?

<u>Solution:</u>

<em>We will use </em><em>Hydrostatic Pressure</em><em> formula above to calculate the gauge water pressure at the base of the dam as follows</em>:

$P = \rho g h$

$P = 1000 \texttt{ kg/m}^3 \times 9.8 \texttt{ m/s}^2 \times 221 \texttt{ m}$

$P = 2 165 800 \texttt{ kg/ms}^2$

$\boxed {P = 2.17 \times 10^6 \texttt{ Pa}}$ → <em>rounded to 3 significant figures</em>

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<h3>Conclusion:</h3>

The gauge water pressure at the base of the dam is about 2.17 × 10⁶ Pa

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<h3>Learn more</h3>

Buoyant Force : brainly.com/question/13922022

Kinetic Energy : brainly.com/question/692781

Volume of Gas : brainly.com/question/12893622

Impulse : brainly.com/question/12855855
Gravity : brainly.com/question/1724648

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<h3>Answer details</h3>

Grade: High School

Subject: Physics

Chapter: Pressure

iragen [17]2 years ago

4 0

<span>Answer: Pressure is always density * gravity * depth P = 1000 kg/m^3 * 9.81 m/s^2 * 221 m P = 2168010 Pa</span>

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