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Vinil7 [7]
3 years ago
9

Musical notes are classified by frequency. The note middle C has a frequency of 262 hertz. The note C above middle C has a frequ

ency of 524 hertz. The note C below middle C has a frequency of 131 hertz.
1) Write an equation of the sine function that represents middle C if its amplitude is 0.2.

2)Write an equation of the sine function that represents C above middle C if its amplitude is one half that of middle C.

3)Write an equation of the sine function that represents C below middle C if its amplitude is twice that of middle C.
Mathematics
1 answer:
Ugo [173]3 years ago
7 0

9514 1404 393

Answer:

  1)  f(t) = 0.2·sin(524π·t)

  2)  f(t) = 0.1·sin(1048π·t)

  3)  f(t) = 0.4·sin(262π·t)

Step-by-step explanation:

The general form of the desired equation is ...

  f(t) = A·sin(2πf·t)

__

1) f = 262; A = 0.2

  f(t) = 0.2·sin(524π·t)

__

2) f = 524; A = 0.1

  f(t) = 0.1·sin(1048π·t)

__

3) f = 131; A = 0.4

  f(t) = 0.4·sin(262π·t)

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This is one of those questions where, if you know the formula, it's easy,
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