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Published byGeoffrey Atkins Modified over 8 years ago
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Identify the crest, trough, amplitude, and wavelength of a wave Define the terms frequency and period Solve problems involving wave speed, frequency, and wavelength Describe the Doppler effect
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Five main Properties that we are going to focus on: Shape Amplitude Wavelength Period Frequency
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An ideal transverse wave has the shape of a sine curve A sine curve looks like an S lying on its side Sine curves can be used to represent the other properties of waves as well.
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Measures the amount of particle vibration It is the greatest distance that particles are displaced from their normal resting positions because of the wave It is also half the vertical difference between a crest and a trough › A crest is the highest point of the wave › A trough is the lowest point of the wave Larger waves have bigger amplitudes and carry more energy
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Do not have crests and troughs because they cause particles to move back and forth instead of up and down A longitudinal wave is like a spring The areas where the coils are bunched together are called compressions The stretched out areas are called rarefactions The amplitude of a longitudinal wave is the maximum deviation from the normal density or pressure of the medium
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Wavelength is represent by the symbol lambda λ and is measured in meters It measures the distance between two equivalent parts of a wave › In a transverse wave it’s the distance between two consecutive crests or two troughs › In a longitudinal wave it’s the distance between two consecutive compressions or two rarefactions › Sound waves have very complicated shapes and sometimes vibrate irregularly
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The time required for one full wavelength of a wave to pass by a certain point is called the period of the wave It is also the time required for one complete vibration of a particle in a medium It is represented by the symbol T and is measured in seconds
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Measures the rate of vibrations It is the number of wavelengths that pass a point in a given time interval It also measures how rapidly vibrations occur in the medium, at the source of the wave, or both The symbol for frequency is f and it is measured in hertz (Hz)
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Named after Heinrich Hertz In 1888, he became the first person to experimentally demonstrate the existence of electromagnetic waves Hertz units measure the number of vibrations per second One vibration per second is 1 Hz You can hear sounds with frequencies as low as 20 Hz and as high as 20,000 Hz
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Elephants communicate with low-frequency sounds that humans cannot hear Their low-frequency calls travel much further than higher-frequency sounds Under the right conditions, an elephant call can carry over thirty square kilometers or more! Elephant families separated by several kilometers use the calls to coordinate their movements Other animals that communicate with low-frequency sounds include blue and finback whales, hippos, and rhinos.
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Frequency and period are related Frequency is the inverse of the period The following equation is used to calculate:
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Light comes in a wide range of frequencies and wavelengths Our eyes can detect light with frequencies ranging from about 4.3 x 10 14 Hz to 7.5 x 10 14 Hz Light in this range is called visible light. The differences in frequency in visible light account for the different colors we see
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Electromagnetic waves also exist at other frequencies that we cannot see directly The full range of light at different frequencies and wavelengths is called the electromagnetic spectrum
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Is equal to frequency times wavelength It is simply how fast a wave moves Wave speed is calculated using the following equations:
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An FM radio station broadcasts electromagnetic waves at a frequency of 94.5 MHz (9.45 × 10 7 Hz). These radio waves have a wavelength of 3.17 m. What is the speed of the waves? f = 9.45 x 10 7 Hzλ = 3.17 m v = ? v = ƒ x λ v = (9.45 x 10 7 Hz)(3.17m) v = 3.00 x 10 8 m/s
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The speed of a wave depends on the medium Sound waves travel fastest in solids, then in liquids and slowest in gases. Temperature also affects wave speed. Sound travels faster through hot air than cool air.
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Explains differences in wave speeds The arrangement of particles in a medium determines how well waves travel through it The different states of matter are due to different degrees of organization at the particle level
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In gases, the molecules are far apart and move around randomly. In liquids, the molecules are much closer together. But they are also free to slide past one another In a solid, molecules are not only closer together but also tightly bound to each other
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Light has a finite speed The speed of light is 3.00 x 10 8 m/s Since the speed of light through space is a constant it is often represent by the symbol c
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Is the apparent change in pitch as a sound passes by The pitch of a sound is how high or low it is Pitch is determined by the frequency at which sound waves strike the eardrum in your ear A higher-pitched sound is caused by sound waves of higher frequency
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Suppose you could see the sound waves from the ambulance siren when the ambulance is at rest You would see the sound waves traveling out from the siren in circular wave fronts The distance between two successive wave fronts shows the wavelength of the sound waves The sound waves have a frequency equal to the number of wave fronts that strike your eardrum each second That frequency determines the pitch of the sound that you hear
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