Solution Found!
Solution: Is the acceleration of a simple harmonic
Chapter 5, Problem 53P(choose chapter or problem)
(I) A violin string vibrates at 294 Hz when unfingered. At what frequency will it vibrate if it is fingered one-third of the way down from the end? (That is, only two-thirds of the string vibrates as a standing wave.)
Questions & Answers
QUESTION:
(I) A violin string vibrates at 294 Hz when unfingered. At what frequency will it vibrate if it is fingered one-third of the way down from the end? (That is, only two-thirds of the string vibrates as a standing wave.)
ANSWER:Solution 53P
When a string is plucked a standing wave is formed. The ends are the nodes and the center is the antinode so if the length of string is L the wavelength is 2L. When fingered at ⅓rd length the length that vibrates is ⅔ L. The wavelength reduces and we will have a higher frequency.
Step 1 of 2 ^
Frequency of the vibration (/)= 294 Hz
Length of the string = L