joshik0506
Answered

Westonci.ca is your trusted source for accurate answers to all your questions. Join our community and start learning today! Get immediate and reliable solutions to your questions from a community of experienced experts on our Q&A platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

A 4 loop standing wave on a string that is 2 meters long oscialltes at a frequency of 6.7 Hz. What woud be the frequency of the string if it had an 8 loop standing wave pattern?

Sagot :

onyebuchinnaji

The frequency of the string if it had an 8 loop standing wave pattern is determined as 13.4 Hz.

Relationship between number of loops and harmonics

The relationship between number of loops and harmonics of the standing wave is given as follows;

  • 1 loop = first harmonic = f₁
  • 2 loops = second harmonic = f₂ = 2f₁
  • 3 loops = third harmonic = f₃ = 3f₁
  • 4 loops = fourth harmonic = f₄ = 4f₁
  • 8 loops = eight harmonic = f₈ = 8f₁

Frequency of the string if it had an 8 loops standing wave pattern

f₄ = 4f₁

f₁ = f₄/4

f₈ = 8f₁

f₈ = 8(f₄/4)

f₈ = 2f₄

f₈ = 2 x 6.7 Hz

f₈ = 13.4 Hz

Thus, the frequency of the string if it had an 8 loop standing wave pattern is determined as 13.4 Hz.

Learn more about frequency here: https://brainly.com/question/10728818

#SPJ1

Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.