Waves on a guitar
When a player's finger presses a guitar string down onto a fret, the length of the vibrating portion of the string is shortened, thereby increasing the string'sfundamental frequency. The string's tension and mass per unit length remain unchanged.
If the unfingered length of the string is l = 65.0cm, determine the positions x of the first six frets, if each fret raises the pitch of the fundamental by onemusical note in comparison to the neighboring fret. On the equally tempered chromatic scale, the ratio of frequencies of neighboring notes is 2^{1/12}.
Express your answers using two significant figures separated by commas.
x1,2,3,4,5,6=?
Homework Answers
The length of a guitar string is 0.628 m. The frets are numbered for convenience. A...
The length of a guitar string is 0.628 m. The frets are numbered for convenience. A performer can play a musical scale on a single string, because the spacing between the frets is designed according to the following rule: When the string is pushed against any fret j, the fundamental frequency of the shortened string is larger by a factor of the twelfth root of two (122) than it is when the string is pushed against the fret j -...
As the drawing shows, the length of a guitar string is 0.628 m. The frets are...
As the drawing shows, the length of a guitar string is 0.628 m.
The frets are numbered for convenience. A performer can play a
musical scale on a single string, because the spacing between the
frets is designed according to the following rule: When the string
is pushed against any fret j, the fundamental frequency of the
shortened string is larger by a factor of the twelfth root of two
(122) than it is when the string is pushed against...
The lowest string of a certain guitar is 64 cm long and has a mass density...
The lowest string of a certain guitar is 64 cm long and has a mass density of 6.3 g/m. The string is fixed at its ends by the bridge and the nut of the guitar. (a) What tension in the string is required to tune it so that its fundamental frequency matches the E2 musical note at 82.41 Hz? Give an answer in both N and lbs. (b) The effective string length can be shortened by pressing your finger down...
The G string on a guitar is 59 cm long and has a fundamental frequency of...
The G string on a guitar is 59 cm long and has a fundamental frequency of 196 Hz. A guitarist can play different notes by pushing the string against various trets, which changes the string's length. The fifth fret from the neck gives C (261.63 Hz) the sich fret gives Db (277.18 Hz). Part A How far apart are the fifth and sixth frets? Express your answer to two significant figures and include the appropriate units. HA ? AL =...
Questions: 1. Explain how you can raise the pitch of a note on a guitar by altering the string’s (a) length, (b) tension, or (c) thickness or mass. Be very specific about what you would do to raise th...
Questions: 1. Explain how you can raise the pitch of a note on a guitar by altering the string’s (a) length, (b) tension, or (c) thickness or mass. Be very specific about what you would do to raise the pitch. 2. If the fundamental frequency of a guitar string is 250 Hz, what is the frequency of the second harmonic? Of the third harmonic? Explain. 3. Consider a vibrating guitar string. The loudest harmonic is the fundamental, but many higher...
You are continuing to investigate the sounds that you can make from your roommate's guitar, as...
You are continuing to investigate the sounds that you can make from your roommate's guitar, as described in the opening storyline. You decide to take some data. One particular string is of length 64.2 cm and plays a note with a fundamental frequency of 196 Hz when it is allowed to vibrate freely along its entire length. You now press the string down strongly against a fret that is located 21.4 cm from the end of the string by the...
Can I please het some help on this question? Write clearly and show your work for...
Can I please het some help on this question?
Write clearly and show your work for all problems. Not all problems will be graded in detail 1) You've been hired by Fender Musical Instruments Corporations to put your physics knowledge to work Unfortunately their previous physics employee lost all their records, so you need to do everything from scratch. Background you will need: When you play a guitar string, the musical note you hear is primarily caused by the string...
As the drawing shows, the length of a guitar string is 0.628 m.
The frets are numbered for convenience. A performer can play a
musical scale on a single string, because the spacing between the
frets is designed according to the following rule: When the string
is pushed against any fret j, the fundamental frequency of the
shortened string is larger by a factor of the twelfth root of two
(122) than it is when the string is pushed against...
The G string on a guitar is 59 cm long and has a fundamental frequency of 196 Hz. A guitarist can play different notes by pushing the string against various trets, which changes the string's length. The fifth fret from the neck gives C (261.63 Hz) the sich fret gives Db (277.18 Hz). Part A How far apart are the fifth and sixth frets? Express your answer to two significant figures and include the appropriate units. HA ? AL =...
You are continuing to investigate the sounds that you can make from your roommate's guitar, as described in the opening storyline. You decide to take some data. One particular string is of length 64.2 cm and plays a note with a fundamental frequency of 196 Hz when it is allowed to vibrate freely along its entire length. You now press the string down strongly against a fret that is located 21.4 cm from the end of the string by the...
Can I please het some help on this question?
Write clearly and show your work for all problems. Not all problems will be graded in detail 1) You've been hired by Fender Musical Instruments Corporations to put your physics knowledge to work Unfortunately their previous physics employee lost all their records, so you need to do everything from scratch. Background you will need: When you play a guitar string, the musical note you hear is primarily caused by the string...
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