Sound waves can create standing wave patterns in a pipe. The relevant three item

Question

Sound waves can create standing wave patterns in a pipe. The relevant three items are: (1) The speed of sound wave v in air, v = 343 m/s (in normal conditions) for ALL fregunencies (2) The relationship between wave speed v, wave frequency f (or period T, where f = 1 , T ), and wavelength : v = / T = f (3) Identification of wavelength from a standing wave pattern. One wavelength covers TWO LOOPS. The pipe in the figure in open at the top end but closed at the bottom end. The length of the pipe is 0.6 m. ILIE Part A - Find the wavelength of each pattern. Separate your answers by a comma. Keep 2 digits wavelength in pattern (a),(b),(o) My Answers Sive Up Part B-Find the frequency of each pattern. Separate your answers by a comma. Keep 3 digits. frequency of patten (a),(b)(c) Hz

Explanation / Answer

1st question

A)

Wavelength w is related to length L:

L = w/4 => w = 4L = 4(0.6) = 2.4m

L = 3/4 w => w = 4/3 L = 4/3 * 0.6 = 0.8m

L = 5/4 w => w = 4/5 L = 4/5 * 0.6 = 0.48m

Ans: 2.4m, 0.8m, 0.48m

B)

We know ,

f = v/w

So we have:

f = 343/2.4 = 142.9 Hz

f = 343/0.8 = 428.75 Hz

f = 343/0.48 = 714.58 Hz

Ans: 142.9Hz, 428.75Hz, 714.58Hz

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