The magnitude of the force acting perpendicular to a surface divided by the area over which the force acts
SI Unit of Pressure: 1 N/m2 = 1 Pa (Pascal)
Pressure is a scalar quantity (it has no direction)
Atmospheric Pressure at Sea Level: 1.013 x 10^5 Pa = 1 atmosphere
Pressure and Depth in a Static Fluid
Pressure varies with depth h, in a fluid with uniform density
Pressure does not depend on the size or shape of the container and the amount of fluid
Pascal's Principle
Any change in the pressure applied to a completely enclosed fluid is transmitted undiminished to all parts of the fluid and enclosing walls
Archimedes' Principle
Any fluid applies a buoyant force to an object that is partially or completely immersed in it; the magnitude of the buoyant force equals the weight of the fluid that the object displaces
When an object is submerged (partially or completely), the volume submerged is equal to the volume of fluid displaced
Archimedes' Principle
1. If FB does not balance the weight: Case 1: FB > Wobj Object accelerates upward until it is partially submerged. The volume submerged will adjust (decrease) until such that the buoyant force balances the weight, then object will remain floating
2. Case 2: FB < Wobj Object will accelerate downward since there is a net force downward. In other words, the object will sink with constant acceleration
Steady Flow
The velocity of the fluid particles at any point is constant as time passes
Streamlines
Used to represent the trajectories of the fluid particles in steady flow
Unsteady Flow
The velocity of the fluid particles at a point changes as time passes
Turbulent Flow
An extreme kind of unsteady flow in which the velocity of the fluid particles at a point change erratically in both magnitude and direction
Fluid flow types
Compressible
Incompressible
Viscous
Nonviscous
Equation of Continuity
Volume flow rate Q = Av, where Q has the same value at every position along a tube that has a single entry and a single exit for fluid flow
Bernoulli's Principle
The fluid accelerates toward the lower pressure regions
As the speed of a moving fluid increases, its pressure decreases
Flow speed and fluid pressure are inversely proportional
Elevation and fluid pressure are inversely proportional
Applications of Bernoulli's Principle
Lift on wings
Curved trajectory of spinning balls
Common Temperature Scales
Ice point - temperature at which ice melts
Steam point - temperature at which water boils (at 1 atm pressure)
Temperatures reported in degrees Celsius (°C) or degrees Fahrenheit (°F)
Temperature change (or difference) reported in Celsius degrees (°C) or Fahrenheit degrees (°F)
Reasoning Strategy for Temperature Conversion
1. Determine the magnitude of the difference between the stated temperature and the ice point on the initial scale
2. Convert this from one scale to the other using the appropriate conversion factor
3. Add or subtract the number of degrees on the new scale to or from the ice point on the new scale
Kelvin Temperature Scale
TK = TC + 273.15
Ice point is 273.15 K
Defines the lowest possible temperature, absolute zero, 0 K
Linear Thermal Expansion
The length of an object changes when its temperature changes
Volume Thermal Expansion
The volume of an object changes when its temperature changes
Heat
Energy that flows from a higher-temperature object to a lower-temperature object because of a difference in temperatures
Internal Energy
The heat that flows from hot to cold originates in the internal energy of the hot substance
It is not correct to say that a substance contains heat
Heat supplied or removed in changing the temperature of a substance
Solids and Liquids
Gases
Calorimetry
If there is no heat loss to the surroundings, the heat lost by the hotter object equals the heat gained by the cooler ones
Heat and Phase Change: Latent Heat
Latent heat of Fusion (solid to liquid and vice versa)
Latent heat of Vaporization (liquid to gas and vice versa)
Latent heat of Sublimation (solid to gas and vice versa)
Convection
The process in which heat is carried from one place to another by the bulk movement of a fluid
Conduction
The process whereby heat is transferred directly through a material
The amount of heat Q that is conducted through a bar depends on the time, temperature difference, cross-sectional area, and length of the bar
Radiation
The process in which energy is transferred by means of electromagnetic waves
A material that is a good absorber is also a good emitter, and a material that absorbs completely is called a perfect blackbody
Atomic Mass Unit (u)
The unit used to facilitate comparison of the mass of one atom with another, with the reference element being the most abundant type or isotope of carbon, called carbon-12
Mole
One mole of a substance contains as many particles as there are atoms in 12 grams of the isotope carbon-12
Avogadro's Number
The number of atoms per mole
The mass per mole (in g/mol) of a substance has the same numerical value as the atomic or molecular mass of the substance (in atomic mass units)
Ideal Gas
An idealized model for real gases that have sufficiently low densities, where the molecules are so far apart that they do not interact except during (elastic) collisions