Nature of Sound, Signals, & Sine Waves Flashcards

1
Q

What is a signal?

A
  • A gesture, sound, or action that conveys information about how one parameter varies with another parameter
  • Carries meaning
  • EX: sound wave
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2
Q

What is a system?

A

-Any process that produces an output signal in response to an input signal

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3
Q

What is sound?

A
  • Emphasize the physical not psychological perspective
  • Sound source must be able to vibrate
    • Must have mass (m) and elasticity (E)
    • Medium of transmission must be capable of vibration
  • Vibratory motion is caused by the interaction between inertia and elasticity –> to and fro movement
    • Consistent with Newton’s 3rd Law of Motion
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4
Q

What is Newton’s 1st Law of Motion?

A
  • Law of Inertia
  • Any body in motion will stay in motion and any body at rest will stay at rest unless acted upon by another force
  • Magnitude of inertia is proportional to mass
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5
Q

What is Newton’s 3rd Law of Motion?

A
  • Law of Restoring Forces
  • With every force there is an equal and opposite reaction force
  • Vibration: elasticity is the reaction to inertia
  • Vibration continues without reapplication of external force and is sustained by the opposing forces
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6
Q

Describe the vibratory motion of a spring.

A
  • System engages in simple harmonic (sinusoidal) motion
  • Spring can be compressed
    • Elasticity (restoring forces) opposes deformation forces
  • As the spring is compressed, greater force is required for additional compression
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7
Q

What is Hooke’s Law?

A
  • Magnitude of restoring force (F) is directly proportional to the magnitude of displacement (x)
    - -> F = -k * x
    - Stiffness is the spring constant “k”
    - Compliance is the inverse of stiffness
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8
Q

Describe the movement of the pendulum.

A
  • Example of slow moving vibration
  • Restoring force is gravity not elasticity
    - Gravity is highest at peak heights (max. potential energy)
    - Elasticity is highest at equilibrium (max. kinetic energy)
  • Period of pendulum: T = 2 * pi * sqrt(L/G)
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9
Q

Describe the movement of the tuning fork.

A
  • Example of movement of air mass
  • Alternate regions of compressions/rarefactions
    - Density increases: compression
    - Density decreases: rarefaction
  • Medium isn’t displaced over a great distance (disturbance wave moves through elastic medium)
  • Sound propagation of density changes through an elastic medium
  • Sound source acting on a medium
    - Place the tuning fork in the medium
    - Before force, particles are equidistant from each other
    - Particles move about positions of equilibrium because of m and E
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10
Q

Describe types of wave motion.

A

-Classified by direction of vibration of medium re: direction of wave propagation

  • Transverse Wave Motion
    - Vibration is perpendicular to direction of wave propagation
    - Elements move up and down (note peaks and valleys)
  • Longitundinal Wave Motion
    - Direction of particle movement is parallel to wave movement
    - Elements of move back and forth (note nodes and antinodes)
    - Sound waves are longitudinal waves
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11
Q

Describe the properties of the transmitting medium.

A

-Mass (m)

  • Elasticity (E)
    - Property that enables recovery from duration of shape/volume
  • Density (rho)
    - Mass per unit of volume
    - Decreases as you rise above sea level
  • Atmospheric Pressure
    - 14.7 lb/in^2
    - 100,000 N/m^2
    - 1,000,000 Pa
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12
Q

List the characteristics of sound.

A
  • Frequency (f)
  • Amplitude (A)
  • Phase (phi)
  • Wavelength (lamda)
  • Speed (v)
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13
Q

What is frequency?

A
  • Cycles per second (Hz)
  • Inverse of period
  • Determined by source characteristics
  • Correlates to perceived pitch
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14
Q

What is amplitude?

A
  • Correlates to perceived loudness
  • Instantaneous vs. average amplitude
  • Root Mean Square (RMS) Amplitude
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15
Q

What is phase?

A
  • When a sine wave starts at some arbitrary time (time shifts)
  • Measured in degrees or radians
  • Little effect on perception
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16
Q

What is the speed of sound?

A
  • Governed by properties of medium
  • Speed of sound = 331 m/s at sea level/0 degrees C
  • -> V = sqrt(E/rho)
  • -> V = 331 + .62 * Tc
17
Q

What is wavelength?

A
  • Distance between 2 peaks or 2 troughs

- -> V = lamda * f

18
Q

What is the formula of a sine wave?

A

x(t) = A * sin(2 * pi * f * t + phi)

19
Q

What makes vibration stop?

A
  • Frictional resistance that opposes motion and limits velocity
  • Kinetic energy transferred to thermal energy results in damping
20
Q

Describe transfer of energy.

A
  • Sound is defined as a transfer of energy through an elastic medium
  • Energy is transferred in the direction the sound is propagated
  • Air mass offers resistance
  • Kinetic energy is transferred to thermal energy