One of the strings on a guitar is 29cm long. What is the wavelength of the...
One of the strings on a guitar is 29cm long. What is the wavelength of the fundamental frequency for this string? Answer: 58cm
Homework Answers
A guitar string has a number of frequencies at which it will naturally vibrate. These natural frequencies are known as the harmonics of the guitar string. The natural frequency at which an object vibrates at depends upon the tension of the string, the linear density of the string and the length of the string. Each of these natural frequencies or harmonics is associated with a standing wave pattern.
Now the problem solving scheme goes as follows:
The wavelength of the standing wave for any given harmonic is related to the length of the string (and vice versa). If the length of a guitar string is known, the wavelength associated with each of the harmonic frequencies can be found.
In this problem (and any problem), knowledge of the length and the harmonic number allows one to determine the wavelength of the wave. For the first harmonic, the wavelength is twice the length.
Given: length of the string on a guitar = 29cm.
Solution : wavelength = 2 * length of the string on the guitar = 2 * 29 cm = 58cm.
Add Answer to:
One of the strings on a guitar is 29cm long. What is the
wavelength of the...
One of the 57.5cm -long strings of an ordinary guitar is tuned to produce the note...
One of the 57.5cm -long strings of an ordinary guitar is tuned to produce the note B3(frequency 245 Hz) when vibrating in its fundamental mode. 1. Find the speed of transverse waves on this string. 2. If the speed of sound in the surrounding air is 344 m/s, find the frequency of the sound wave produced in the air by the vibration of the B3 string. 3. If the speed of sound in the surrounding air is 344 m/s, find...
The G-string on a guitar is 64.8 cm long and is properly tuned to 196 Hz...
The G-string on a guitar is 64.8 cm long and is properly tuned to 196 Hz (fundamental) frequency. Sketch the first harmonic on this guitar string at two different times. What is the frequency of the G note one octave above this frequency? One octave below? What is the frequency of the note a perfect fifth above this frequency? What is the wavelength of the first harmonic of this guitar string? What is the speed of waves on this guitar...
Two identical guitar strings are stretched with the same tension between supports that are not the...
Two identical guitar strings are stretched with the same tension between supports that are not the same distance apart. The fundamental frequency of the higher-pitched string is 380Hz, and the speed of transverse waves in both wires is 200 m/s. How much longer is the lower-pitched string if the beat frequency is 6Hz?
The fundamental frequency on a guitar can be increased by Select one: a. increasing the length...
The fundamental frequency on a guitar can be increased by Select one: a. increasing the length of the string. b. plucking the string with more intensity. c. changing the number of strings. d. decreasing the velocity of the wave.
You want to manufacture a guitar such that the instrument will be in tune when each...
You want to manufacture a guitar such that the instrument will be in tune when each of the strings are tightened to the same tension. The middle (D) string on the guitar should have fundamental frequency 146.83 Hz. The highest (E) string should have fundamental frequency 329.63 Hz. If the D string has linear mass density 0.00430kg/m, what should be the mass density of the E string? Assume all the strings are the same length.
1. (review: B&S 3.3) Two guitar strings are made of nylon and strung on a guitar....
1. (review: B&S 3.3) Two guitar strings are made of nylon and strung on a guitar. They are held at the same tension and have the same length and different fundamental frequencies. a) Write the equation (3.1), a compilation of Mersenne's laws, in the space below. b) In view of the above equation, what accounts for the different frequencies? c) How could you determine which one has the lower frequency by inspecting the strings? Explain your reasoning.
Jennifer is using a tuning fork to tune her fifth guitar string, which should be at...
Jennifer is using a tuning fork to tune her fifth guitar string, which should be at a frequency of 110 Hz, or note A2 in music terms. When she rings the tuning fork and plucks her guitar string, she hears 8 beats/s. Note: parts (a) and (b) require absolute accuracy. Your answer must be exactly correct-not just within 5% (a) What are the two possible frequencies of Jennifer's guitar string? fmAx Number Units Number Units min (b) When Jennifer loosens...
Jennifer is using a tuning fork to tune her fifth guitar string, which should be at...
Jennifer is using a tuning fork to tune her fifth guitar string, which should be at a frequency of 110 Hz, or note A2 in music terms. When she rings the tuning fork and plucks her guitar string, she hears 8 beats / s. Note: parts (a) and (b) require absolute accuracy. Your answer must be exactly correct--not just within 5%. (a) What are the two possible frequencies of Jennifer's guitar string? Fmax = Number Units f min = Number...
The four strings of a bass guitar are 0.865 m long and are tuned to the...
The four strings of a bass guitar are 0.865 m long and are tuned to the notes G (98 Hz), D (73.4 Hz), A (55 Hz), and E (41.2 Hz). In one bass guitar, the G and D strings have a linear mass density of 5.3 g/m, and the A and E strings have a linear mass density of 29.8 g/m. Part A: What is the total force exerted by the strings on the neck? Express your answer with the...
Two identical guitar strings are prepared such that they have the same length (2.30 m) and...
Two identical guitar strings are prepared such that they have the same length (2.30 m) and are under the same amount of tension. The first string is plucked at one location, primarily exciting the 5th harmonic. The other string is plucked in a different location, primarily exciting the 4th harmonic. The resulting sounds give rise to a beat frequency of 378 Hz. What is the wave propagation speed on the guitar strings?
1. (review: B&S 3.3) Two guitar strings are made of nylon and strung on a guitar. They are held at the same tension and have the same length and different fundamental frequencies. a) Write the equation (3.1), a compilation of Mersenne's laws, in the space below. b) In view of the above equation, what accounts for the different frequencies? c) How could you determine which one has the lower frequency by inspecting the strings? Explain your reasoning.
Jennifer is using a tuning fork to tune her fifth guitar string, which should be at a frequency of 110 Hz, or note A2 in music terms. When she rings the tuning fork and plucks her guitar string, she hears 8 beats/s. Note: parts (a) and (b) require absolute accuracy. Your answer must be exactly correct-not just within 5% (a) What are the two possible frequencies of Jennifer's guitar string? fmAx Number Units Number Units min (b) When Jennifer loosens...
Jennifer is using a tuning fork to tune her fifth guitar string, which should be at a frequency of 110 Hz, or note A2 in music terms. When she rings the tuning fork and plucks her guitar string, she hears 8 beats / s. Note: parts (a) and (b) require absolute accuracy. Your answer must be exactly correct--not just within 5%. (a) What are the two possible frequencies of Jennifer's guitar string? Fmax = Number Units f min = Number...
Most questions answered within 3 hours.
-
Where is the error in this code sequence?
String s1 = "Hello";
String s2 = "ello";...
asked 11 months ago -
Financial data for Joel de Paris, Inc., for last year
follow:
Joel de Paris, Inc.
Balance...
asked 11 months ago -
Consider this reaction:
Al2(SO4)3 (aq)+ BaCl3
(aq) Al2Cl6 (aq)- +
3BaSO4(s) . What is the...
asked 11 months ago -
Suppose that Savneet is considering increasing her
recent random sample from 20 car rentals to 40...
asked 11 months ago -
Trucks arrive at an unloading terminal at an average rate of 120
per hour.
Trucks arrive...
asked 11 months ago -
Why are methanol and ethanol completely soluble in water while
octanol is not very little soluble....
asked 11 months ago -
A facilities manager at a university reads in a research report
that the mean amount of...
asked 11 months ago -
When the CuSO4 is rehydrated by adding water to the anhydrous
compound, is this an endothermic...
asked 11 months ago -
A ray of sunlight is passing from diamond into crown glass; the
angle of incidence is...
asked 11 months ago -
A block of mass 0.249 kg is placed on top of a light, vertical
spring of...
asked 11 months ago -
how do the kidneys compensate in the presences of acidosis
a) trigger hyperventilate
b) reserve acid...
asked 11 months ago -
Question 501 pts
The rental rate of capital to the firm increases. Which of the
following...
asked 11 months ago