Joshik0506idn
Answered

Join the IDNLearn.com community and start finding the answers you need today. Join our knowledgeable community to find the answers you need for any topic or issue.

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 :

Onyebuchinnajiidn

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

Thank you for contributing to our discussion. Don't forget to check back for new answers. Keep asking, answering, and sharing useful information. Your search for solutions ends here at IDNLearn.com. Thank you for visiting, and come back soon for more helpful information.