Answered

At Westonci.ca, we connect you with experts who provide detailed answers to your most pressing questions. Start exploring now! Get accurate and detailed answers to your questions from a dedicated community of experts on our Q&A platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

Two ship fog horns have different frequencies. They are both being blown at the same time. You hear a sound that varies in amplitude, with the time between a minimum in loudness and the next maximum in loudness being 0.14 seconds. You know the fog horn with the lower pitch has a frequency of 173.5 Hz. What is the frequency of the fog horn with a higher pitch

Sagot :

nuhulawal20

Answer:

the frequency of the fog horn with a higher pitch is 177.07 Hz

Explanation:

Given the data in the question;

time between a minimum and the next maximum in loudness = 0.14 seconds

So,

Time T between the two continuous maximum in loudness will be;

⇒ T = 2 × 0.14 sec

T = 0.28 seconds

Thus, beat frequency [tex]f_b[/tex] will be;

[tex]f_b[/tex] = 1 / T

we substitute in the value of T

[tex]f_b[/tex] = 1 / 0.28

[tex]f_b[/tex]  = 3.5714 Hz

Now, we know that;  [tex]f_b[/tex] = [tex]f_2[/tex] - [tex]f_1[/tex]

we solve for [tex]f_2[/tex]

[tex]f_2[/tex] = [tex]f_b[/tex] + [tex]f_1[/tex]

given that; the lower pitch has a frequency of 173.5 Hz

we substitute

[tex]f_2[/tex] = 3.5714 Hz + 173.5 Hz

[tex]f_2[/tex] = 177.07 Hz

Therefore, the frequency of the fog horn with a higher pitch is 177.07 Hz

We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.