An Olympic swimming pool is 50 m long, 25 m wide, and 2 m deep. (a) Make a plot of pressure as a function of depth in the pool, for 0 < y < 2 m. Make your plot neat and precise. Label axes and indicate units. (b) What is the pressure on the bottom of the pool? (c) What is the total force on the bottom of the pool the 25 m x 50 m surface? (d) What is the total force on one end of the pool- one of the 25 m x 2m surfaces? (e) What is the total force on one side of the pool- one of the 50 m x 2 m surfaces?

An Olympic swimming pool is 50 m long, 25 m wide, and 2 m deep. (a) Make a plot of pressure as a function of depth in the pool, for 0 < y < 2 m. Make your plot neat and precise. Label axes and indicate units. (b) What is the pressure on the bottom of the pool? (c) What is the total force on the bottom of the pool the 25 m x 50 m surface? (d) What is the total force on one end of the pool- one of the 25 m x 2m surfaces? (e) What is the total force on one side of the pool- one of the 50 m x 2 m surfaces?

Name: ### Pascal’s PrincipleAn Olympic swimming pool is 50 m long, 25 m wid
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Description: ### Pascal’s PrincipleAn Olympic swimming pool is 50 m long, 25 m wide, and 2 m deep.**Tasks:**(a) Make a plot of **pressure** as a function of depth in the pool, for \( 0 \leq y \leq 2 \, \text{m} \). Make your plot neat and precise. Label axes and

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Fluid Pressure

The term fluid pressure is coined as, the measurement of the force per unit area of a given surface of a closed container. It is a branch of physics that helps to study the properties of fluid under various conditions of force.

Gauge Pressure

Pressure is the physical force acting per unit area on a body; the applied force is perpendicular to the surface of the object per unit area. The air around us at sea level exerts a pressure (atmospheric pressure) of about 14.7 psi but this doesn’t seem to bother anyone as the bodily fluids are constantly pushing outwards with the same force but if one swims down into the ocean a few feet below the surface one can notice the difference, there is increased pressure on the eardrum, this is due to an increase in hydrostatic pressure.

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### Pascal’s Principle

An Olympic swimming pool is 50 m long, 25 m wide, and 2 m deep.

**Tasks:**

(a) Make a plot of **pressure** as a function of depth in the pool, for \( 0 \leq y \leq 2 \, \text{m} \). Make your plot neat and precise. Label axes and indicate units.

(b) What is the **pressure** on the bottom of the pool?

(c) What is the **total force** on the bottom of the pool — the \( 25 \, \text{m} \times 50 \, \text{m} \) surface?

(d) What is the **total force** on one end of the pool — one of the \( 25 \, \text{m} \times 2 \, \text{m} \) surfaces?

(e) What is the **total force** on one side of the pool — one of the \( 50 \, \text{m} \times 2 \, \text{m} \) surfaces?

**Note:** Do not ignore atmospheric pressure.

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