Answer:
a)the possible frequencies are 521hz ,522hz, 523, 524hz,525hz
b) 526hz
c)0.989 or a 1.14% decrease in tension
Explanation:
a) While tuning a string at 523 Hz,piano tuner hears 2.00 beats/s between a reference oscillator and the string.
The possible frequencies of the string can be calculated by
fl=f' - B
where
fl= lower limit of the possible frequency
f'= frequency of the string
B= beat heard by the tuner
fl= 523hz + Or - (2beats/secs * 1hz/1beat per sc)
fl= 521hz or 525hz
So the possible frequencies are 521hz ,522hz, 523, 524hz,525hz
b)fl=f' - B
523hz= f' - 3
f'= 523 + 3= 526hz
c) The tension is directly proportional to the square of the frequencies
T1/T2 =f1^2/f2^2
523^2 / 526^2 = 0.989 or a 1.14% decrease in tensio
