Fluids Part I
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Questions and Answers

What is the formula for calculating pressure in a fluid?

  • $P = F + A$
  • $P = A - F$
  • $P = F/A$ (correct)
  • $P = A/F$

What defines a substance as a fluid?

  • A substance that does not change volume
  • A substance that can flow (correct)
  • A substance that changes density rapidly
  • A substance that has a fixed shape

Which of the following correctly states the relationship of mass density?

  • It is the volume divided by mass
  • It is the mass divided by volume (correct)
  • It varies with the object's shape
  • It remains constant regardless of particle arrangement

Which unit is used to measure pressure in the International System of Units (SI)?

<p>Pascal (B)</p> Signup and view all the answers

Why are gases considered compressible compared to liquids?

<p>The molecules in gases are farther apart (D)</p> Signup and view all the answers

What causes pressure in a liquid at rest?

<p>The force of gravity acting on the liquid (D)</p> Signup and view all the answers

In hydrostatic equilibrium, how does pressure behave in a connected liquid?

<p>Pressure is constant at all points (D)</p> Signup and view all the answers

What is the unit of mass density in the International System of Units (SI)?

<p>kg/m³ (D)</p> Signup and view all the answers

If a piece of glass is broken into two pieces, how does its mass density change?

<p>It remains independent of the size or shape (C)</p> Signup and view all the answers

If the pressure at the surface of a body of water changes to $p_0 + Δp$, what happens to the pressure at a depth $d$?

<p>It increases by $Δp$ (D)</p> Signup and view all the answers

What is the maximum pressure that a human eardrum with an area of 70 mm² can withstand before rupturing?

<p>7 N (D)</p> Signup and view all the answers

Which of the following statements correctly describes fluid pressure?

<p>Pressure inside a fluid is lower than outside (D)</p> Signup and view all the answers

How does pressure in a fluid change with increasing depth?

<p>It increases as depth increases (D)</p> Signup and view all the answers

Which of the following options best represents what can change for a gas sample?

<p>Its volume and density can change (C)</p> Signup and view all the answers

Which of the following statements about hydrostatic pressure is true?

<p>It is the pressure at rest within a fluid (B)</p> Signup and view all the answers

What characterizes solids, liquids and gases in terms of molecular arrangement?

<p>Molecules in gases are farther apart than in liquids and solids (D)</p> Signup and view all the answers

What property of mass density is critical for understanding the differences among solids, liquids, and gases?

<p>It is a characteristic of the substance regardless of size (D)</p> Signup and view all the answers

What occurs to horizontal forces in a fluid at rest?

<p>They cancel each other out (C)</p> Signup and view all the answers

What happens when a fluid is brought to a different height in a container?

<p>The pressure equalizes at the same height across the liquid (B)</p> Signup and view all the answers

How does the mass density of a substance change when its volume increases while its mass remains constant?

<p>Mass density decreases (B)</p> Signup and view all the answers

Flashcards

Fluid

A substance that flows and takes the shape of its container. Examples include liquids and gases.

Density (mass density)

The mass of a substance per unit volume.

Mass Density Units

Kilograms per cubic meter (kg/m³)

Density Comparison (Solids, Liquids, Gases)

Gases have lower densities than liquids and solids because the molecules in gases are farther apart.

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Mass Density Independence

Mass density of an object is independent of its size.

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Compressibility of Gases

The volume of a gas can be changed easily.

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Fluid Pressure

The force exerted by a fluid per unit area.

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Density Characteristic Property

Density is a property of the material itself, not dependent on the object's size.

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Pascal's Principle

Pressure applied to a confined fluid is transmitted undiminished in all directions throughout the fluid.

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Phases of matter

States of matter (solids, liquids, and gases).

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Pascal

The SI unit of pressure (equal to 1 N/m²).

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Hydrostatic Pressure

Pressure exerted by a fluid at rest due to gravity.

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Hydrostatic Pressure Equation

Equation defining pressure in a liquid: P = ρgh

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Connected Liquid Pressure

Pressure is equal at all points in a horizontal plane within a connected liquid of a single kind.

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Pressure Change Effect

Changing the surface pressure in a liquid affects the pressure at all points in a connected liquid at the same depth.

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Pressure at Point

Pressure at a point in a fluid depends on the depth from the surface.

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Pressure Measurement

Using a device to measure pressure at different points in the liquid.

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Eardrum Pressure

Increased pressure on the eardrum when diving deep will cause discomfort

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Maximum Dive Depth

Maximum safe depth to be able to avoid rupturing the eardrum.

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Study Notes

Fluids Part I

  • Fluids are substances that flow, taking the shape of their container.
  • Fluids include liquids and gases.
  • Gases are compressible, meaning their volume can change easily.
  • Liquids are incompressible, their volume remains relatively constant.
  • Mass density is the ratio of mass to volume (ρ = m/V).
  • SI units of mass density are kg/m³.
  • Gases have lower densities compared to liquids and solids due to the greater spacing between gas molecules.
  • Pressure in a fluid is the force exerted per unit area (P = F/A).
  • The SI unit of pressure is the pascal (Pa), where 1 Pa = 1 N/m².
  • The force due to fluid pressure acts on all parts of the fluid and the container walls.
  • Pressure in a liquid increases with depth.
  • Hydrostatic pressure is the pressure exerted by a fluid at rest.
  • Hydrostatic pressure equation is p = p₀ + ρgd
  • Pascal's principle states that a pressure change at one point in an incompressible fluid is transmitted equally to all other points in the fluid.

Learning Objectives

  • Students will be able to discuss the density of solids, liquids, and gases.
  • Students will be able to explain Pascal's principle.

Problem 13.9

  • A cylinder contains 25 cm of water and oil on top of the water to a total depth of 40 cm.
  • The gauge pressure at the bottom of the cylinder needs to be calculated.
  • Density of oil (ρ₀) = 900 kg/m³.

Check Your Understanding

  • Q1: Rank the mass densities of three pieces of glass (1, 2, 3) broken from a larger piece in order from largest to smallest.
    • Mass density is independent of size, and characteristic of the substance.
  • Q2: Gases are compressible.
    • The volume of a gas is easily changed.
  • Q3: Rank pressures A, B, C, D, E, and F from largest to smallest. (Diagram required)
  • Q4: Maximum depth a person could dive without rupturing their eardrum.
    • Human eardrum area ≈ 70 mm²
    • Maximum force the eardrum can withstand ≈ 7 N Density of water (ρwater) = 1000 kg/m³

Additional Information

  • Chapter 13 Questions: 1, 2, 4, 13, 34 (Page 459)
  • Chapter 13 Problems: 1, 11, 14, 44 (Page 461)

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Description

Explore the fundamental concepts of fluids, including properties of liquids and gases, mass density, and fluid pressure. Understand the differences between compressible and incompressible fluids and the implications of hydrostatic pressure. This quiz covers essential principles that form the basis of fluid mechanics.

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