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Chapter 16
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General definitions of vibrations and waves n Vibration: in a general sense, anything that switches back and forth, to and fro, side to side, in and out, off and on, loud and soft, or up and down is vibrating. A vibration is a wiggle in time. n Wave: a wiggle in both space and time is a wave. A wave extends from one place to another. n Vibrations and waves: the source of all waves is something that is vibrating. Waves are propagations of vibrations throughout space.
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1.VIBRATION OF A PENDULUM n n What does the period (T) depend upon? u u Length of the pendulum (l). u u Acceleration due to gravity (g). n n Period does not depend upon the bob mass or the amplitude of the swing. Vibration of a pendulum. The to-and- fro vibratory motion is also called oscillatory motion (or oscillation).
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n n When oscillations are small, the motion is called simple harmonic motion (shm) and can be described by a simple sine curve.
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Wave Properties Wavelength Wavelength, , is the distance between two consecutive peaks.
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Wave Properties Amplitude Amplitude is the height of the wave above or below the equilibrium point.
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Wave Properties Period The wave period, P, this the time it take one wave to pass the observer.
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Wave Properties Frequency Frequency, f, is the number of waves passing a particular point in one second.
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Examples of Frequency n What is the frequency of the second hand of a clock? Frequency = 1cycle/60 secPeriod = 60 sec n What is the frequency of US Presidential elections? Frequency = 1 election/4 yrsPeriod = 4 yrs
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In symbolic form or
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Wave Motion, Speed, Type Waves transfer energy, not matter, from one place to another (A Vibrating source transfers a disturbance) Speed depends on type of vibrating source and medium through which it travels Wave speed… We know v = d/t υ = f x υ = f x The same type of wave moves at the same speed regardless of f or The same type of wave moves at the same speed regardless of f or For any wave, f is inversely proportional to For any wave, f is inversely proportional to
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Wave Type Transverse waves vibrate across from direction of travel Longitudinal waves vibrate along the direction of travel (as in a spring)
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Homework! n HW - n HW - Read 1-10 Complete page 26 (Packet) n Slinky Lab Tomorrow!!
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