Question

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 oscillating in a standing wave pattern in the fundamental mode (lowest possible standing wave frequency). Also, the length of the vibrating portion of a guitar string is about 63.5 cm. This is true for all strings on a guitar. a) The high-E string of a typical guitar (the string that plays the highest sounding note) vibrates with fundamental frequency 329.63 Hz when played. If the linear mass density of this string is 0.313 g/cm, to what tension in newtons should the string be tuned? Watch out for units!! Round this and all future answers 3 sig figs. b) What is this string tension in pounds? c) There are 6 strings on a typical guitar, and for the guitar you're designing you want all the strings of the guitar to have equal tensions. (This is sometimes called tension balancing and makes the strings all feel the same when you try to bend or press them.) Given that there are 6 strings, what is the total force in pounds that your guitar needs to withstand? (This is the type of calculation that stringed instrument designers must do to make sure their instrument won't collapse when the strings are taut. Think about all those strings in a piano!) d) The low-E string (the string that plays the lowest note) should produce a note of fundamental frequency 82.41 Hz when played. What should the linear mass density be of this string in g/cm, and how many times bigger or smaller is this than the linear mass density of the high-E string? (This is the type of calculation that string makers do to know how thick to make their strings. e) A higher note can be produced on a guitar string by pressing your finger behind a fret (a raised metal portion) and then playing the string. When you do this, the fret acts as a fixed end, implying that the length of the vibration portion of the string is shorter, but the tension and linear mass density are the same. See diagrams. fired press here First portion fret In Western music, cach successive note is higher than the previous one by a factor of 2112. (So if an 'A' note is 440 Hz, then the next A# note is (440 Hz)-212-466.16 Hz, & the next B note is at (440 Hz)-2212-493.88 Hz.) If the high-E string produces a note of 329.63 Hz when it is played at its full length, where should the first fret be placed so that it will produce the next highest note? (See diagram.) You can either measure from the left end of the string (saddle) or the right end of the string (the nut), up to you. (This is the type of calculation that makers of guitars/basses/ukuleles must do to know where to put the frets in the neck.)

Answer 1

I have solved your problem which is shown below:

This is the case of stationary standing waves in which we tie a wave a string at two rigid fixed points and then wave is produced. which is shown in detail

Given that Length 63.5cm. 20.635m a 2= 329.63Hz M (linear mass density). 0.313 g 0.313 x 10 kg am = 0.0313 kg using formule Wa I u Squaring both sides хт (22 T= 224 422tu T= (329.63)2 x 4x (0.635)?x c0:0313) T = 548 S. 36134 N (bi Tension in bounds IN=0.224 80g Pound force 5485: 36134 Na 12 33.1582 Pound -form,

(Ci Total tension T in bounds 67 Tension is one stung 6x 1233.1582 =7398.9516 N Tension is constanta Su Tiz Tz V2 = 82.41 Hz L=0.635 m عل U2 = 1 Ta 2 L M2 Squaring both sides Tz X (24) 2 M2 lesz Tz 5485.36134 44(0.6357² ( 82.4132 422 7222 رند 0.5 kg m

Comparing le, and امل 0.0313 ur 0.5 و مد 0.5 مل 0:0313 15.97.4 رمل 1 مل l22 15.974 MI From this uel say that linea mars density lsis 15.974 e, times the Az

According to HomeworkLib guidlines I can solve only 4 parts of the question which is shown above.

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