HANDBOOK OF ACOUSTICS - online book

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EXAMINATION PAPERS.
287
(b) Given that
is tuned to have a frequency of 263,
-(&-
and
oti
jCC
so found, calculate those of
Ana.(a) See p. 51.
a 2367 D = 263 X g = -g" = 295
3 789 G = 263 X o = -5- = 394i
A = 263 X ? = -a1 = 438i
W
A = 394 X J =
7101
7101
-j-r = 443-U 16                 i&
2X8
789 X 3
D' z= 394 X g = ----f = T = 591|
4.   (a) Explain the production of beats, (b) Suppose a set of forks to be tuned to philosophic pitch in which C = 256; and that a fork mistuned to 260 vibrations per second is procured. How many beats per second will the mistuned fork make (1) when sounded only with C = 256; (2) when sounded with 4C s= 264; and (3) wheD sounded with CI = 512 ?
Am.(a) See pp. 144, 145, 146.
(J) (1) 260 256 = 4 beats per second.
(2)    264-260= 4
(3)    512 260 = 252 Differential.
260 252 = 8 beats per second.
5.  (a) Enunciate the laws which govern the frequency of vibration of a stretched string ; (b) and point out how these laws come in, in the construction, tuning, and playing a violin.
Am.(a) See p. 87.
(b) See pp. 88, 89, and 90.