19. The trunk of a very large elephant may extend up to 3 m! It acts much like an organ pipe open only at one end when the elephant blows air through it. a. Calculate the fundamental frequency of the sound the elephant can create with its trunk. b. If the elephan blows even harder the next harmonic may be sounded. What is the frequency of this first overtone?

a. To calculate the fundamental frequency of the sound the elephant can create with its trunk, we can use the formula for the fundamental frequency of an organ pipe open at one end:<br /><br />f = v / (4L)<br /><br />where f is the fundamental frequency, v is the speed of sound in air (approximately 343 m/s), and L is the length of the trunk (3 m).<br /><br />f = 343 m/s / (4 * 3 m)<br />f = 28.58 Hz<br /><br />So, the fundamental frequency of the sound the elephant can create with its trunk is approximately 28.58 Hz.<br /><br />b. The first overtone of an organ pipe open at one end is the third harmonic. The frequency of the first overtone can be calculated using the formula:<br /><br />f = 3 * f<br /><br />where f is the fundamental frequency.<br /><br />f = 3 * 28.58 Hz<br />f = 85.74 Hz<br /><br />So, the frequency of the first overtone is approximately 85.74 Hz.