Only D-E **Educational Content for Physics: Fluid Mechanics****Olympic Swimming Pool Pressure Analysis**An Olympic swimming pool is designed with the following dimensions:- Length: 50 meters- Width: 25 meters- Depth: 2 meters**Exercises:**(a) **Pressure Plot as a Function of Depth:** Create a plot illustrating how pressure varies with depth (y) in the pool, for a range of 0 ≤ y ≤ 2 meters. Ensure your plot is neat and precise. Clearly label the axes and provide units.(b) **Pressure at the Pool Bottom:**Calculate the pressure at the bottom surface of the pool. Consider both water and atmospheric pressure.(c) **Total Force on the Pool's Bottom:**Determine the total force exerted on the bottom of the pool. The dimensions of this surface are 25 meters x 50 meters.(d) **Total Force on One End of the Pool:**Calculate the total force exerted on one of the pool's ends. The surface area to consider here is 25 meters x 2 meters.(e) **Total Force on One Side of the Pool:**Find the total force on one of the longer sides of the pool, using the dimensions 50 meters x 2 meters.**Note:** Atmospheric pressure must be included in all calculations.This exercise encourages understanding of how fluid pressure acts on surfaces and how it changes with depth. It is fundamental for studying the principles of fluid mechanics, especially in calculating forces exerted by static fluids.

Name: Only D-E **Educational Content for Physics: Fluid Mechanics****Olympic
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Description: Only D-E **Educational Content for Physics: Fluid Mechanics****Olympic Swimming Pool Pressure Analysis**An Olympic swimming pool is designed with the following dimensions:- Length: 50 meters- Width: 25 meters- Depth: 2 meters**Exercises:**(a) **Press

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An Olympic swimming pool is 50m 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 × 2 m surfaces? (e) What is the total force on one side of the pool – one of the 50 m × 2 m surfaces?

An Olympic swimming pool is 50m 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 × 2 m surfaces? (e) What is the total force on one side of the pool – one of the 50 m × 2 m surfaces?

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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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Question

Only D-E

**Educational Content for Physics: Fluid Mechanics**

**Olympic Swimming Pool Pressure Analysis**

An Olympic swimming pool is designed with the following dimensions:

- Length: 50 meters
- Width: 25 meters
- Depth: 2 meters

**Exercises:**

(a) **Pressure Plot as a Function of Depth:**
Create a plot illustrating how pressure varies with depth (y) in the pool, for a range of 0 ≤ y ≤ 2 meters. Ensure your plot is neat and precise. Clearly label the axes and provide units.

(b) **Pressure at the Pool Bottom:**
Calculate the pressure at the bottom surface of the pool. Consider both water and atmospheric pressure.

(c) **Total Force on the Pool's Bottom:**
Determine the total force exerted on the bottom of the pool. The dimensions of this surface are 25 meters x 50 meters.

(d) **Total Force on One End of the Pool:**
Calculate the total force exerted on one of the pool's ends. The surface area to consider here is 25 meters x 2 meters.

(e) **Total Force on One Side of the Pool:**
Find the total force on one of the longer sides of the pool, using the dimensions 50 meters x 2 meters.

**Note:** Atmospheric pressure must be included in all calculations.

This exercise encourages understanding of how fluid pressure acts on surfaces and how it changes with depth. It is fundamental for studying the principles of fluid mechanics, especially in calculating forces exerted by static fluids.

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