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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

The overall length of a piccolo is 32.0 cm. The resonating air column vibrates as in a pipe that is open at both ends. (a) Find the frequency of the lowest note a piccolo can play. (b) Opening holes in the side effectively shortens the length of the resonant column. If the highest note a piccolo can sound is 4.00 × 105 Hz, find the distance between adjacent antinodes for this mode of vibration.

(a)

To determine
The frequency of the lowest note that a piccolo can play.

Explanation

Given Info: The overall length of a piccolo is 32.0 cm and the resonating air column vibrates in a pipe is open at both ends.

Formula to calculate the lowest fundamental frequency at which the pipe is open at both ends is,

fn=nv2L (1)

  • fn is the lowest fundamental frequency
  • n is the harmonic number.
  • v is the velocity of sound in air.
  • L is the length of the piccolo.

Substitute 1 for n 343m/s for v , and 32.0 cm for L to find f1

(b)

To determine
The distance between the adjacent antinodes for piccolo’s mode of vibration.

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