When two musical notes are nearly the same pitch, one can hear "beats" - a periodic rise and fall in the volume of a single pitch. (a) Generate a plot of this phenomenon. Create and submit - a graph of the waveform f(t) that results from superposition of two waves with similar frequencies. fi(t) = cos 21 t f₂(t) = cos 19t Time is measured in seconds. f(t) = f(t) + f2(1) (b) Describe the significant features of your plot. What pitch would you hear - assuming humans can hear that pitch? At what frequency does the volume oscillate? In AM radio, a high-frequency carrier wave is combined with a low-frequency signal wave. The waves are not simply added together. Rather, the low frequency wave is used to modulate the amplitude of the high frequency wave. (c) Create and submit a graph of the waveform f(t) that illustrates this idea: f(t) = (1 +0.5 cos 2t) - cos 20 t Time is measured in seconds. (d) Describe the significant features of your plot. In what ways is it similar to the plot from part (a)? In what ways is it different?

When two musical notes are nearly the same pitch, one can hear "beats" - a periodic rise and fall in the volume of a single pitch. (a) Generate a plot of this phenomenon. Create and submit - a graph of the waveform f(t) that results from superposition of two waves with similar frequencies. fi(t) = cos 21 t f₂(t) = cos 19t Time is measured in seconds. f(t) = f(t) + f2(1) (b) Describe the significant features of your plot. What pitch would you hear - assuming humans can hear that pitch? At what frequency does the volume oscillate? In AM radio, a high-frequency carrier wave is combined with a low-frequency signal wave. The waves are not simply added together. Rather, the low frequency wave is used to modulate the amplitude of the high frequency wave. (c) Create and submit a graph of the waveform f(t) that illustrates this idea: f(t) = (1 +0.5 cos 2t) - cos 20 t Time is measured in seconds. (d) Describe the significant features of your plot. In what ways is it similar to the plot from part (a)? In what ways is it different?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Properties of sound

A sound wave is a mechanical wave (or mechanical vibration) that transit through media such as gas (air), liquid (water), and solid (wood).

Quality Of Sound

A sound or a sound wave is defined as the energy produced due to the vibrations of particles in a medium. When any medium produces a disturbance or vibrations, it causes a movement in the air particles which produces sound waves. Molecules in the air vibrate about a certain average position and create compressions and rarefactions. This is called pitch which is defined as the frequency of sound. The frequency is defined as the number of oscillations in pressure per second.

Categories of Sound Wave

People perceive sound in different ways, like a medico student takes sound as vibration produced by objects reaching the human eardrum. A physicist perceives sound as vibration produced by an object, which produces disturbances in nearby air molecules that travel further. Both of them describe it as vibration generated by an object, the difference is one talks about how it is received and other deals with how it travels and propagates across various mediums.

Question

2 Amplitude Modulation
When two musical notes are nearly the same pitch, one can hear “beats" — a periodic rise and fall in the volume of a
single pitch.
(a) Generate a plot of this phenomenon. Create and submit
superposition of two waves with similar frequencies.
fi(t) = cos 21 t
f₂(t) = cos 19 t
Time is measured in seconds.
a graph of the waveform f(t) that results from
f(t) = f(t) + f₂(t)
(b) Describe the significant features of your plot. What pitch would you hear - assuming humans can hear that pitch?
At what frequency does the volume oscillate?
In AM radio, a high-frequency carrier wave is combined with a low-frequency signal wave. The waves are not simply
added together. Rather, the low frequency wave is used to modulate the amplitude of the high frequency wave.
(c) Create and submit - a graph of the waveform f(t) that illustrates this idea:
f(t) = (1+0.5 cos 2t) - cos 20 t
Time is measured in seconds.
(d) Describe the significant features of your plot. In what ways is it similar to the plot from part (a)?
In what ways is it different?

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