SOLUTION: The pitch P of a musical tone varies inversely as its wavelength W. One tone has a pitch of 283 vibrations per second and a wavelength of 12 ft. Fine the wavelength of another tone

Algebra ->  Algebra  -> Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: The pitch P of a musical tone varies inversely as its wavelength W. One tone has a pitch of 283 vibrations per second and a wavelength of 12 ft. Fine the wavelength of another tone      Log On

Ad: You enter your algebra equation or inequality - Algebrator solves it step-by-step while providing clear explanations. Free on-line demo .
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   


Question 240782: The pitch P of a musical tone varies inversely as its wavelength W. One tone has a pitch of 283 vibrations per second and a wavelength of 12 ft. Fine the wavelength of another tone that has a pitch of 348 vibrations per second.
Answer by Alan3354(21605) About Me  (Show Source):
You can put this solution on YOUR website!
The pitch P of a musical tone varies inversely as its wavelength W. One tone has a pitch of 283 vibrations per second and a wavelength of 12 ft. Fine the wavelength of another tone that has a pitch of 348 vibrations per second.
--------------
p*w = k (some constant)
P*w = 283*12 = 3396
----------
w = 3396/p
w = 3396/348
w = 9.7586 feet
------------------
PS I would call it frequency, not pitch