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Page 506: Practice Problems

Exercise 25

Step 1

1 of 2

The fundamental frequency is inversely proportional with respect to the length of the pipe. Hence, if the length of pipe is increased, the fundamental frequency would decrease. This relationship is valid for both open at both ends or closed at one end.

Result

2 of 2

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Exercise 26

Step 1

1 of 2

Using the following equation, calculate the fundamental frequency

$f_1=dfrac{v}{2L}=dfrac{343;m/s}{2(1.2;m)}=140;Hz$

Repeat the calculation for the new length

$$
f_1=dfrac{v}{2L}=dfrac{343;m/s}{2(2.4)}=71;Hz
$$

Result

2 of 2

$$
71;Hz
$$

Exercise 27

Step 1

1 of 2

Calculate the second harmonic wavelength (n=2)

$$
lambda_2=dfrac{2L}{n}=dfrac{2L}{2}=L=2.5;m
$$

Result

2 of 2

$$
2.5;m
$$

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Page 506: Practice Problems

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