Solution Found!
Solved: (a) Show that Eq. (15.25) can also be written as
Chapter 15, Problem 67P(choose chapter or problem)
(a) Show that Eq. (15.25) can also be written as \(P_{a v}=\frac{1}{2} F k \omega A^{2}\), where is the wave number of the wave. (b) If the tension
in the string is quadrupled while the amplitude
is kept the same, how must
and \(\omega\) each change to keep the average power constant? [Hint: Recall Eq. (15.6).]
Equation Transcription:
Text Transcription:
P_av=1/2FkwA^2
omega
Questions & Answers
QUESTION:
(a) Show that Eq. (15.25) can also be written as \(P_{a v}=\frac{1}{2} F k \omega A^{2}\), where is the wave number of the wave. (b) If the tension
in the string is quadrupled while the amplitude
is kept the same, how must
and \(\omega\) each change to keep the average power constant? [Hint: Recall Eq. (15.6).]
Equation Transcription:
Text Transcription:
P_av=1/2FkwA^2
omega
ANSWER:
Solution 67P
Step 1
Identify:
The wave motion conveys the energy from one region to another, then the average power of the wave is given by
...... (1)
Here, the angular frequency of the wave is , the amplitude of the wave is , and the force of the wave is . The speed of the wave is …… (2) Here, the linear mass density is
