We appreciate your visit to The length of a violin string varies inversely with the frequency of its vibrations A violin string 14 inches long vibrates at a frequency of. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Answer: 525 cycles per second.
Step-by-step explanation:
The equation for inverse variation between x and y is given by :-
[tex]x_1y_1=x_2y_2[/tex] (1)
Given : The length of a violin string varies inversely with the frequency of its vibrations.
A violin string 14 inches long vibrates at a frequency of 450 cycles per second.
Let x = length of a violin
y= frequency of its vibrations
To find: The frequency of a 12 inch violin string.
Put [tex]x_1=14,\ x_2=12\\y_1=450,\ y_2=y[/tex] in equation (1) , we get
[tex](14)(450)=(12)(y)[/tex]
Divide both sides by 12 , we get
[tex]y=\dfrac{(14)(450)}{12}=525[/tex]
Hence, the frequency of a 12 inch violin string = 525 cycles per second.
Thanks for taking the time to read The length of a violin string varies inversely with the frequency of its vibrations A violin string 14 inches long vibrates at a frequency of. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
Final answer:
The frequency of a 12 inch violin string is approximately 388.57 cycles per second.
Explanation:
The length of a violin string varies inversely with the frequency of its vibrations. This means that as the length of the string decreases, the frequency of the vibrations increases, and vice versa. To find the frequency of a 12 inch violin string, we can set up the following proportion:
14 inches / 450 cycles per second = 12 inches / x cycles per second
To solve for x, we can cross multiply:
14 inches * x cycles per second = 12 inches * 450 cycles per second
x = (12 inches * 450 cycles per second) / 14 inches
Simplifying:
x = 388.57 cycles per second
Therefore, the frequency of a 12 inch violin string is approximately 388.57 cycles per second.
Learn more about Frequency of vibrations here:
https://brainly.com/question/31923673
#SPJ3
