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130 Cards in this Set
- Front
- Back
What is 2 in scientific notation? |
2.00 X 10^0 |
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What is 987,654,321 in scientific notation? |
9.87 X 10^8 |
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What is 1.23 X 10^ -9 in long form? |
0.00000000123 |
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750 X 15,000,000,000,000 = ? in scientific notation |
(7.5 X10^2) X (1.5 X10^13) = 11.3 X 10^15 |
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How many grams is 1 lb.? (in scientific notation) |
4.55 X 10^2 |
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A ton= 2,000. How many kg is that? |
9.09 X 10^2 |
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Two cars pass on the turnpike, one 100 km/hr heading due east, the other at 90 km/hr heading due west. Observing the westbound car from the eastbound vehicle, the speed of the westbound car would appear to be what? |
190 km/hr |
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What's the period of f = 750 Hz in ms? |
1.33ms |
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What's the period of F = 1500 Hz in ms? |
0.67 ms |
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What's the period of F = 3,000 Hz in ms? |
0.33ms |
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What's the period of f = 6,000 Hz in ms? |
0.17ms |
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What's the frequency if the period = 1.0ms? |
1000 Hz |
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What's the frequency if the period = 0.05ms? |
20,000 Hz |
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Scientific Notation |
Simplifies computations; converts among measures of different orders of magnitude; helps convert numbers to logarithms |
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Numerical precision |
How many decimal places are in a number |
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Exponent, with base of 10 |
Indicates how many times to use the number in multiplication and indicates which direction to move the decimal |
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Transformation |
Rendering of a number into another form, via a mathematical table of conversion or calculation |
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Kilo- (k) |
10^3 or 1,000 |
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Deci- (d) |
10^ -1 or 0.1 |
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centi (c) |
10^ -2 or 0.01 |
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milli (m) |
10^ -3 or 0.001 |
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micro |
10^ -6 or 0.000001 |
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Decimal is moved to the left |
Exponent is positive and the number is 10 or greater |
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Decimal is moved to the right |
Exponent is negative and the number is less than 1 |
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Vectors |
Measure of magnitude and direction; force and direction involved |
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Scalars |
Measure of magnitude alone; can be added or subtracted directly |
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Imaginary numbers |
Irreducible, cannot be rendered into a simpler form and smaller number |
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Independent Variable |
along x-axis; the variable that is varied or manipulated by the researcher; the presumed cause |
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Dependent Variable |
Along y-axis; represents the output or effect, or is tested to see if it is the effect. The quantity under examination for its dependence on the independent variable |
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Name of X-axis |
Abscissa |
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Name of Y-axis |
Ordinate |
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Audiogram |
Graph that shows absolute threshold for standardized frequencies as measured by audiometer. Y-axis is dB; x-axis is Hz |
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Interpolation |
In graphical analysis, filling in the gaps of empirical data set. Constructing new data points within the range of a discrete set of known data points |
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Extrapolation |
In graphical analysis, going beyond limits of empirical data set. Estimating, beyond original observation range, the value of a variable on the basis of its relationship w/ another value |
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Ogive |
Pronounced (Oh-jyv). S-shaped curve created by data points; a continuous cumulative curve, related to the bell curve of probability |
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Linear graph |
Data points give a straight line |
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Nonlinear graph |
The data gives a nonlinear pattern; not a straight line; like a sinusoid |
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Dimensions |
The minimum number of coordinates needed to specify any point within it. Length, mass, time |
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Derived Quantities |
Dimensions and units of measure derive from the basic physical dimensions/quantities length, mass, time |
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2 Major Metric Subsystems |
MKS system - meter, kilogram, second CGS system - centimeter, gram, second |
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vectors
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multi-dimensional (2+) array of numbers involving amount of force and direction of force
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audiogram
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plots patient's hearing level (threshold) in dB on y-axis and frequency (plotted logarithmically) on the x-axis
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scalars
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variables that represent a given number. These quantities can be added or subtracted directly (assuming they are the same units of measure).
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stay at rest, ma, sum
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The principles of Newton's Laws of Motion include: any object at rest tends to ___________; F=___; Unequal forces will ________
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measurement
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____________________ involves assigning a number to a quantity representing its magnitude in a broadly accepted form.
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0.0345
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Which number has greater precision, 703 or .0345?
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6, 1, -1, -2, -3, -6
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1 megameter = 10^x meters? 1 decameter= 10^x m? 1 decimeter=10^x m? 1 centimeter= 10^x m? 1 millimeter = 10^x m?, 1 micrometer (µ)=10^x m?
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imaginary, negative real
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An ____________ number is a number that can be written as a real number multiplied by the imaginary unit i, which is defined by its property i^2 = −1. The square of an imaginary number bi is -b^2. For example, 5i is an imaginary number, and its square is −25. Except for 0 (which is both real and imaginary), imaginary numbers produce _________ _____ numbers when squared.
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real, imaginary
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The appearance of i (or j) in a number signals how it's parts (________ and ________) are properly combined. (result determined from vector analysis)
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independent, abscissa, dependent, ordinate
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In a conventional 2D graph, the _____________ variable is represented along the horizontal x-axis (__________) whereas the ____________ variable is represented along the vertical y-axis (____________).
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manipulated, independent
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The independent variable is the value that is ______________ by the analyst. The dependent variable is the quantity under examination for it's dependence on the ____________ variable.
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interpolation
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____________ is carried out by mathematically fitting a range of data with a theoretical underlying function (connecting the points on a graph)
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extrapolation
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_____________ has to do with the hypothetical extension beyond graphically represented data.
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ogive (s shape)
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The curvilinear ______________ represents the normal cumulative distribution (similar to bell curve)
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length, mass, time, derive
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The dimensions of all physical quantities encountered in simple mechanics and acoustics are _________, ________, and _________. These given quantities are used to determine or ___________ all other quantities.
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-3, -6
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1 ms=10^x s, 1µs=10^x s
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position, vector
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Displacement= change in ________ and it is a ________. It is a measurement of length.
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weight
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________ is a measure of the pull of gravity (which varies in the universe) on a particular mass.
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scalar
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Mass is a ________ quantity and is measured by comparing an unknown quantity to a standard measure (usually via a scale).
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velocity, vector
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_________ is defined as the time-rate change in displacement, incorporating both magnitude and direction. It is a _________ quantity. =(x-x0 )/(t-t0)
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acceleration, vector
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_______________ is the time-rate change of velocity (the fluctuations or instant-to-instant changes in velocity constitute this physical quantity). This is a __________ quantity.
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0
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When velocity is truly constant, acceleration = ____.
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vibratory, simple harmonic (SHM), (SHO) oscillator
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_________ motion causes all three metrics of movement to change constantly as an object retraces its trajectory time and again. The most basic form of vibratory motion is _________ __________ motion. When a simple spring-mass system produces this type of motion it is called a _____________.
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equilibrium
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A mass is at ___________ when it is resting (no motion).
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inertia
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__________ is the resistance of any physical object to any change in its state of motion (including a change in direction). Can also be thought of as the ability of an object to store kinetic energy.
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vector (for both)
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Force is a _________, since the product of a scalar (i.e. mass) & a vector (i.e. acceleration) is a ________.
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newton, dyne
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Because there are multiple dimensions involved in solving for force (i.e. ML/T^-2 which is units of kg-m/s^2), the unit of force is called a ___________ when using the MKS system, or a _________ when using the CGS system (g-cm/s^2).
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momentum, force
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___________ is the product of mass and velocity (m*v). _________, then, is the rate of change of this (F=Δ(mv)/Δt)
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restoring force
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a force developed in opposition to displacement
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Hooke's, -kx
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The relationship among restoring force, stiffness, and amount of deformation or displacement (such as change in length) is expressed by ________ law: F=_____.
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compliance
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______________ is the reciprocal of stiffness (1/k). Measured in m/N units (for MKS system).
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steady-state, frictional
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A constant force may be applied to maintain SHM (simple harmonic motion). However, after a certain amount of acceleration, a constant velocity (_______ ________ motion) will be achieved because the applied force will then be balanced by _________ force.
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velocity (for both)
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Friction limits _________. Therefore, the opposing force of friction is dependent on __________).
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coefficient
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The __________ of friction refers to the quantity representing the relationship between the surfaces in contact with one another (causing the friction).
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viscosity, damping
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Fluid friction (i.e. resistance felt while stirring a can of paint) is referred to as __________. This type of friction imparts __________ to vibratory systems.
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critical damping, oscillatory
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____________ _______________ occurs as frictional resistance is increased causing a mass to come to rest as quickly as possible (after the initial displacement and release) as in the case with hitting the shock absorbing brakes in an automobile). This type of system is considered non-________________.
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exponential decay
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The rate of decay of damped vibrations is stereotypical, an effect commonly called _________ __________.
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kinetic, potential, destroyed
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There are 2 types of energy: __________ and ____________. The basic law of energy is that energy can be transferred, but not _______.
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potential, kinetic
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A book resting on a table has _________ energy, while a object that is in motion has _________ energy.
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kinetic, potential, restoring force, momentum
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In the SHO (simple harmonic oscillator), interplay of ________ and __________ energy transpires as the mass of the system vibrates back and forth. It derives from the underlying interaction of the changing ________ __________ and ____________, respectively, as the mass moves back and forth, alternately compressing and extending the spring.
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newton, meter, joule, dyne, cm, erg
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The units of measure of work and energy are identical. In MKS, the unit of energy is defined as a force of 1 ________ acting through the distance of 1 ________. This is referred to as a ___________. In CGS, the unit of energy is defined as a force of 1 ________ acting through the distance of 1 ________. This is referred to as a _________. |
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mechanical, heat, dissipation
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Friction also transforms energy from one kind of energy to another: ___________ to ___________. This is referred to as ____________. |
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power, watts
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To reflect the temporal factor (in terms of energy transformation), another physical quantity is needed-________, defined as the rate at which work is done. This unit of measure for this quantity is ______. |
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displacement, equilibrium
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Peak to Peak amplitude can be determined by adding the absolute values of ____________ +/- the point of ______________ (0). |
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period
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The interval of time between crossings of the zero axis in the same direction.
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frequency
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_____________ = the number of periods (or cycles) completed per unit time.
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degrees, radians
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Phase is expressed in ________ or ___________.
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phasor
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A rotating vector (such as the hand of a clock) is called a ____________.
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x/r
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The instantaneous displacement of a phasor is found via this formula: sine of the phase of the phasor (θ)=__________.
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angular velocity (frequency)
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The rate at which the radius rotates (rate at which angle θ changes) is referred to as _________ ____________. |
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phase difference
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For sinusoids, the relationship among displacement, velocity, and acceleration can be shown to be a matter of a constant _________ __________.
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velocity, displacement
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Acceleration leads ___________, which leads _____________.
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natural
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The _____________ response occurs when the nature of the starting force did not in any way impose the resulting vibratory motion (ex: just letting go of the spring in SHO).
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mass, stiffness, stiffness, mass
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The natural frequency is determined by the amounts of ________ and _________ in the system. The natural frequency is proportional to the square root of ______________ and inversely proportional to the square root of _________.
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doubles, is halved
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If stiffness increases by 4X, the natural frequency ____________. If mass is increased by 4X, the natural frequency ____________. |
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acceleration, displacement, opposition, reactance
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Newton's law states that the opposition afforded by the mass in the system is proportional to _____________, whereas Hooke's law states that the restoring force is proportional to _____________. Therefore when acceleration & displacement are "out of phase" with the motion (velocity), then mass & stiffness inherently offer a certain amount of _________ to the motion imparted by the driving force. This type of damping (resistance) is different than that of friction. Instead it is referred to as _____________.
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resonant, natural
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The _________ frequency occurs at a frequency in which the mass and elastic reactance are equal and thereby cancel each other out. In lightly damped systems, this frequency is equal to the ________ frequency.
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frequency
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Mass reactance is determined not only by mass but also by the _______________ of the driving force.
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stiffness, mass
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At resonance, the resonant frequency is proportional to the square root of the ______________ and inversely proportional to the square root of ______. |
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stiffness, resistance, mass, admittance
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The graphic representation of forced response shows that the system is _________-dominated at low frequencies, ____________-dominated (related to friction) near the resonant frequency, and ___________-dominated at high frequencies. The measure of response of the simple spring-mass system (in forced response) representing the response correlations (with these 3 aforementioned properties) is referred to as ___________ (inverse impedance). |
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mass, elastic (stiffness)
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_______ reactance is referred to as positive reactance, while _________ reactance is referred to as negative reactance.
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lowers, raises
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In free vibration, increasing the mass __________ the natural frequency, and increasing the stiffness ___________ the natural frequency. |
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stiffness, mass, force
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The response of a forced vibration system below the resonant frequency is said to be _________ dominated, and _________ dominated above the resonant frequency. Therefore, to obtain the same amplitude of response at frequencies above and below the resonant frequency, more _________ is required.
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reducing
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As resistance in the spring-mass system is increased, the contribution of reactance to the total opposition of the system is increasingly diluted, ____________ the frequency selectivity of the response of the system.
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phasors, impedance (Z), ohms
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Reactance and resistance can be added according to their vector-like qualities, namely as ___________ which produces the quantity referred to as ___________. This quantity, like resistance and reactance, is measured in ______.
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matched (equal)
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The impedances of the source and the load should be ______________ for the best transfer of power.
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admittance, forced response, siemens
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is the reciprocal of impedance and is the quanitity used to indicate the ______________ ____________ of the SHM. This quantity is measure in units called ___________. |
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conductance, susceptance
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_______________ (the reciprocal of resistance) plus ______________ (the reciprocal of reactance) = admittance.
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immittance
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______________ refers to the category of audiological measurements that contains measures of impedance and admittance.
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admittance
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_________ measurement is used clinically to permit the assessment of the mobility of the eardrum and bones of the middle ear when completing the immittance test of tympanometry.
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distance (no displacement, no work).
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Mechanical work is considered to be done only when force acts through a _______________.
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sine, amplitude, frequency, phase
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Only one function (________________ ) and 3 parameters: _____________, _______________, & _____________ are needed to fully specify SHM. |
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stiffness, mass, stiffness, mass
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The frequency of SHM is controlled by _________ and _______ such that the natural frequency is proportional to ________ but inversely proportional to _______.
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frequency, amplitude, motion
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Friction minimally affects _________, but decreases ____________, causing decay of __________ over time.
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reactance (X)
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opposition to vibratory motion due to stiffness and/or mass
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resistance (R)
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opposition to vibratory motion due to friction
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is not
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Resistance (is/is not) dependent on frequency.
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sinusoid
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simple harmonic motion is characterized by a mathematical function from trigonometry called the _________.
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Mass, Stiffness (elasticity) |
SHO, when it occurs, results from the interaction of two physical properties or quantities, namely ___________ and ______________. |
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stiffness, mass (not friction)
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The generation of SHM in a mechanical system requires components of _________ and _________. |
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phase
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Displacement, velocity, and acceleration each have a different ________.
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much less
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If we have a simple spring-mass system to which we add a lot of damping and then apply a vibrating force to drive it at any frequency we want, we will find that it is ______________ sensitive to frequency of the applied force. |
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displacement, acceleration
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The opposition to forced vibration, called reactance, reflects the fact that _____________ and _____________ are out of phase with velocity.
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inertia
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_________ is the property by which an object at rest tends not to move without added force applied and an object in motion tends to stay in motion.
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restoring force
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An extended spring produces a _________ _________ proportional to how much it is extended.
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subtract (cancel)
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Equal but opposite forces _______.
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natural, mass, stiffness
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__________ frequency is the frequency that a particular mass and spring system "wants" to oscillate. It is related to the amount of _______ and _______ in the mass-spring system.
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out of phase
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Equal but opposite forces cause oscillatory motion only if they are applied _________.
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mass reactance |
If I apply force to an object it might move, but it doesn't "want" to. This is because of the object's _____________.
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constant force
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Because of resistance, if we want a mass to have constant velocity we must apply ____________.
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