Liquids, Gases, and Pressure: Pascal's Principle lecture 3 s&f

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to Lesson

Podcast

Play an AI-generated podcast conversation about this lesson
Download our mobile app to listen on the go
Get App

Questions and Answers

Which of the following is NOT a property of pressure in a fluid?

  • Pressure is transmitted undiminished to all parts of an enclosed fluid.
  • At a given depth, pressure is equal in all directions.
  • Pressure acts perpendicular to the surface in contact.
  • Pressure is only exerted in the direction of gravity. (correct)

According to Pascal's Principle, pressure applied to an enclosed fluid is diminished as it is transmitted throughout the fluid.

False (B)

Explain how Pascal's Principle is utilized in hydraulic systems, providing a real-world example.

Pascal's Principle is used in hydraulic systems to multiply force. A small force applied to a small area creates pressure that is transmitted to a larger area, resulting in a larger force. An example is a car's braking system.

The pressure at a certain depth in a fluid is dependent on the fluid's density, the depth, and the ______.

<p>acceleration due to gravity</p> Signup and view all the answers

Match the pressure measurement type with its definition:

<p>Gauge Pressure = Pressure measured relative to atmospheric pressure. Absolute Pressure = Pressure measured relative to a perfect vacuum. Atmospheric Pressure = The force per unit area exerted by the weight of the atmosphere.</p> Signup and view all the answers

What is the primary difference between absolute pressure and gauge pressure?

<p>Absolute pressure uses a perfect vacuum as a reference, while gauge pressure uses atmospheric pressure. (C)</p> Signup and view all the answers

Aneroid barometers use a column of liquid to measure atmospheric pressure.

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

Explain how a mercury barometer works and what it measures.

<p>A mercury barometer measures atmospheric pressure by balancing the weight of mercury in a glass tube against the atmospheric pressure. The height of the mercury column is directly proportional to the atmospheric pressure.</p> Signup and view all the answers

In the equation $P = P_{atm} + \rho gh$, the term $P_{atm}$ represents ______.

<p>atmospheric pressure</p> Signup and view all the answers

Match the following units of pressure to their equivalent Pascal (Pa) value:

<p>1 atm = 1.013 x 10^5 Pa 1 bar = 10^5 Pa 1 mbar = 10^2 Pa</p> Signup and view all the answers

Consider a U-tube manometer connected to a vessel containing gas. If the liquid level in the arm connected to the vessel is lower than the level in the open arm, what does this indicate about the pressure in the vessel?

<p>The pressure in the vessel is lower than atmospheric pressure. (C)</p> Signup and view all the answers

A Bourdon gauge directly measures volume changes due to pressure.

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

Describe the principle behind how electronic pressure transducers work.

<p>Electronic pressure transducers work by converting the pressure applied to a sensing element into an electrical signal. The pressure causes a strain (deformation), which changes the resistance of fine wires. This resistance change is then measured and related back to the pressure.</p> Signup and view all the answers

The typical range of maximum arterial blood pressure in humans is ______ to 19,000 Pa.

<p>14,000</p> Signup and view all the answers

Match the medical instrument to its function:

<p>Sphygmomanometer = Measures blood pressure. Manometer = Measures pressure of a fluid.</p> Signup and view all the answers

Why are pressures in medicine often quoted as heights of mercury (mmHg)?

<p>It is a historical convention due to the use of mercury manometers. (C)</p> Signup and view all the answers

Density is defined as mass times volume.

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

Explain the relationship between depth and pressure in a fluid of uniform density. Provide the formula that describes this relationship.

<p>In a fluid of uniform density, pressure increases linearly with depth. The relationship is described by the formula: $P = P_0 + \rho gh$, where $P$ is the pressure at depth $h$, $P_0$ is the pressure at the surface, $\rho$ is the density of the fluid, and $g$ is the acceleration due to gravity.</p> Signup and view all the answers

If atmospheric pressure is 101325 Pa, this is equivalent to approximately ______ kPa.

<p>101.325</p> Signup and view all the answers

Match each term with its appropriate unit:

<p>Pressure = Pascal (Pa) Density = Kilogram per cubic meter (kg/m³) Depth = Meter (m)</p> Signup and view all the answers

Which scenario best illustrates Pascal's Principle?

<p>Squeezing a balloon at one end, causing it to expand at the other end. (D)</p> Signup and view all the answers

The shape of a container affects the pressure at a given depth in a stationary fluid.

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

Explain how the use of a smaller piston to generate pressure can lift a heavier load in a hydraulic system.

<p>In a hydraulic system, a smaller piston exerts pressure on a fluid, which is then transmitted to a larger piston. Because pressure is force per unit area, the larger piston experiences a greater force due to its larger area, allowing it to lift a heavier load.</p> Signup and view all the answers

The formula for the pressure difference between two points in a fluid at rest is $\Delta P = -\rho g (y_2 - y_1)$, where $y_2 - y_1$ represents the ______ between the two points.

<p>height difference</p> Signup and view all the answers

Match the pressure measuring device with the type of pressure it primarily measures:

<p>Open tube manometer = Gauge pressure Mercury barometer = Atmospheric pressure Bourdon Gauge = Gauge pressure</p> Signup and view all the answers

In the context of fluid pressure, what does 'hydrostatic' refer to?

<p>Pressure exerted by a fluid at rest. (D)</p> Signup and view all the answers

The pressure in the human eye (aqueous humor) is typically higher than atmospheric pressure.

<p>True (A)</p> Signup and view all the answers

Explain the principle behind measuring blood pressure using a sphygmomanometer.

<p>A sphygmomanometer measures blood pressure by inflating a cuff to stop blood flow in the brachial artery, then gradually releasing the pressure while listening for Korotkoff sounds. These sounds indicate systolic and diastolic pressures.</p> Signup and view all the answers

In the equation $P = P_{atm} + P_g$, $P_g$ represents the ______.

<p>gauge pressure</p> Signup and view all the answers

Match the unit of pressure with its abbreviation:

<p>Pascal = Pa Atmosphere = atm Millibar = mbar</p> Signup and view all the answers

Which of the following factors does NOT affect the pressure exerted by a fluid at a certain depth?

<p>The volume of the fluid (D)</p> Signup and view all the answers

Gauge pressure can be negative.

<p>True (A)</p> Signup and view all the answers

Explain why the height of the liquid column in a barometer is independent of the diameter of the tube.

<p>The height of the liquid column is determined by the balance between the weight of the fluid column and the atmospheric pressure. The diameter of the tube does not affect this balance as the pressure acts equally in all directions, only the height and density of the fluid matter.</p> Signup and view all the answers

If the gauge pressure is zero, then the absolute pressure is equal to ______.

<p>atmospheric pressure</p> Signup and view all the answers

Match the application with the pressure principle it utilizes:

<p>Hydraulic brakes = Pascal's Principle Measuring altitude with a barometer = Pressure decreases with altitude Diving deeper into the ocean = Pressure increases with depth</p> Signup and view all the answers

Which best explains why objects at the bottom of the ocean experience immense pressure?

<p>The weight of the water above compresses the water below. (D)</p> Signup and view all the answers

In a fluid, pressure always acts parallel to the surface it contacts.

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

Compare and contrast the use of mercury and water in barometers. Why is mercury typically preferred?

<p>Both mercury and water can be used in barometers. Mercury is typically preferred because it is much denser than water. This high density results in a more manageable column height for measuring atmospheric pressure. A water barometer would need to be approximately 13.6 times taller than a mercury barometer.</p> Signup and view all the answers

If the atmospheric pressure is 1 atm and the gauge pressure of a tire is 30 psi, the absolute pressure in the tire is approximately ______ atm. (Note: 1 atm ≈ 14.7 psi)

<p>3.04</p> Signup and view all the answers

Match each type of pressure with its reference point:

<p>Absolute pressure = Perfect vacuum Gauge pressure = Local atmospheric pressure Differential pressure = Another point in the system</p> Signup and view all the answers

Flashcards

Pressure

Force exerted by a fluid per unit area; a special type of stress.

Fluid

A substance that can flow and conform to the shape of its container.

Density

Mass per unit volume of a substance.

Direction of Fluid Pressure

Fluid pressure acts perpendicular to the surface in contact.

Signup and view all the flashcards

Pascal's Principle

Pressure applied to an enclosed fluid is transmitted equally to all parts of the fluid.

Signup and view all the flashcards

Pressure and Depth

With constant density, the pressure difference is proportional to depth change.

Signup and view all the flashcards

Absolute Pressure

Measured relative to a vacuum.

Signup and view all the flashcards

Gauge Pressure

Measured relative to atmospheric pressure.

Signup and view all the flashcards

Open Tube Manometer

An instrument that measures pressure using a U-tube containing a liquid.

Signup and view all the flashcards

Mercury Barometer

Measures atmospheric pressure using a column of mercury.

Signup and view all the flashcards

Bourdon Gauge

Flexible tube straightens under pressure to move a pointer.

Signup and view all the flashcards

Electronic Transducers

Electrical device where pressure changes resistance of fine wires.

Signup and view all the flashcards

Sphygmomanometer

Measures blood pressure using an inflatable cuff and manometer.

Signup and view all the flashcards

Study Notes

Liquid and Gases & Pressure

  • Pressure is a special type of stress that applies to liquids and gases.
  • Fluids includes air, water, blood etc.
  • Learning goals include understanding what is a fluid, density, properties of pressure in a fluid, measurement of pressure, gauge pressure and absolute pressure, and pressure in the body and its measurement.

Properties of Pressure

  • Fluids exert pressure in all directions.
  • At a given depth, pressure is equal in all directions within a fluid.
  • Fluid pressure always acts perpendicular to the surface in contact.
  • Pressure applied to an enclosed fluid is transmitted undiminished to all parts, known as Pascal’s Principle.
  • Pressure can produce a change in volume.
  • The pressure is the same at equal depths in a stationary fluid with uniform density, regardless of the container shape.

Pascal's Principle

  • Pressure applied to an enclosed fluid is transmitted equally to all parts of the fluid.

Pressure Formula

  • For a fluid with constant density (represented by È¡), the difference in pressure (ΔP) between two heights (y1 and y2) is given by: ΔP = P2 - P1 = -pg(y2 - y1).
  • Where:
    • È¡ is density in kg/m³.
    • g is the acceleration due to gravity in kg m/s².
    • P1 is the pressure at point 1 in Pascals (Pa).
    • P2 is the pressure at point 2 in Pascals (Pa).
  • If point 1 is at depth h, and point 2 is on the surface of the fluid then: P2=Psuf = Patm = atmospheric pressure, and P1 = P
  • Then rearranged: P = Psuf + pgh = Patm + pgh.

Absolute and Gauge Pressure

  • Absolute pressure is relative to a vacuum.
  • Gauge pressure is differential to atmospheric pressure.
  • Formula: P = Patm + Pg (absolute pressure), or Pg = P - Patm (gauge pressure).

Open Tube Manometer

  • It measures gauge pressure, which equals to the difference between the unknown pressure and the atmospheric pressure.
  • It's set up involves a U-tube containing a liquid, one side connected to a vessel with unknown pressure (P), and the other open to atmospheric pressure (Patm).
  • Pressure at equal depth in a stationary fluid is uniform.
  • P + pgyB = Patm + pgyA, therefore P - Patm = pg(yA - yB) = -pgh.

Pressure Measurement Instruments

  • Mercury Barometer
    • Measures atmospheric pressure directly.
    • P= Patm + 0 Pa.
  • Bourdon Gauge
    • Flexible tube closed at one end.
    • Pressure applied at the other end straightens the tube.
    • It moves a pointer across a scale to indicate pressure.
  • Electronic Transducers
    • Pressure bends the transducer face.
    • Strain changes resistance of fine wires bonded on the surface.
    • Applications include medical, aircraft, automotive, and industrial safety.

Typical Fluid Pressures in Humans

  • Maximum arterial blood pressure: 14,000 to 19,000 Pa
  • Brain (lying down): 700 to 1,600 Pa
  • Eye (aqueous humour): 1,600 to 3,200 Pa
  • Gastrointestinal: 1,300 to 2,700 Pa
  • Intrathoracic: -500 to -1,000 Pa
  • Middle ear: < 130 Pa
  • Bladder (during micturition): 14,700 Pa

Sphygmomanometer

  • It measures blood pressures because pressures are often quoted as heights of mercury (mmHg)

Pressure Units

  • SI unit: Pascal (Pa), where 1 Pa=1Nm−2
  • 1 atm = 1.013 × 105 Pa
  • 1 atm = 1.013 bar
  • 1 atm = 1.013 × 103 mbar
  • 1 mbar = 102 Pa
  • 1 atm = 760 mm Hg
  • 1 atm = 29.5 inches Hg
  • 1 bar = 105 Pa = 0.9872 atm

Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

Quiz Team

Related Documents

More Like This

Fluid Pressure and Forces Quiz
17 questions
Understanding Fluid Pressure and Applications
10 questions
Use Quizgecko on...
Browser
Browser