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College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

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BuyFindarrow_forward

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

A 0.500-m-long brass pipe open at both ends has a fundamental frequency of 350. Hz. (a) Determine the temperature of the air in the pipe. (b) If the temperature is increased by 20.0°C, what is the new fundamental frequency of the pipe? Be sure to include the effects of temperature on both the speed of sound in air and the length of the pipe?

(a)

To determine

The temperature of the air in the pipe.

Explanation

Given Info: The fundamental frequency is 350 Hz and length of the brass pipe open at both ends is 0.500m .

Formula for the fundamental frequency for open ended pipe is,

f=v2L

  • f is the fundamental frequency.
  • v is the speed of the sound travelled in the open ended pipe.
  • L is the length of the brass pipe.

Rewrite the relation in terms of v.

v=2Lf

Substitute 0.500m for L and 350 Hz for f to find v.

v=2(0.500m)(350Hz)=350m/s

Formula to calculate the speed of the sound is,

v=(331m/s)1+T273°C

  • T is the temperature of the air in the pipe

(b)

To determine

The new fundamental frequency of the pipe.

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