1. A guitar string produces 3 beats/s when sounded with a 361-Hz tuning fork and

Question

1.

A guitar string produces 3 beats/s when sounded with a 361-Hz tuning fork and 8 beats/s when sounded with a 366-Hz tuning fork. What is the vibrational frequency of the string?

2.

PART A:    At T = 22 C, how long must an open organ pipe be to have a fundamental frequency of

349 Hz ? The speed of sound in air is v(331+0.60T)m/s, where T is the temperature in C.

PART B:

If this pipe is filled with helium at 20C and 1 atm, what is its fundamental frequency? The speed of sound in helium is1005 m/s.

Explanation / Answer

the minimum and maximum frequencies are:

f = 361+3 or f= 361- 3 and f = 366+8 or f= 366-8

but we have, 361-3 = 366-8, thus the vibrational frequency is,

fv = 361 - 3 = 366-8 = 358 Hz

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