Homework Answers
Solution ) This problem is based on wave motion
Here nth harmonic frequency is equal to n times fundamental frequency
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Problem 3: Two strings Two strings of the same length are stretched between two ends, cach...
A simple instrument consists of two metal strings stretched parallel to one another and attached at...
A simple instrument consists of two metal strings stretched parallel to one another and attached at both ends to boards perpendicular to the strings. The tension is the same in both strings, and the length of the strings is ` = 35.0 cm. The first string has a mass m = 8.00 g and generates middle C (frequency f = 262 Hz) when vibrating in its fundamental mode. a) What is the tension in the first string? b) If the...
Two identical guitar strings are prepared such that they have the same length (0.67 m) and...
Two identical guitar strings are prepared such that they have the same length (0.67 m) and are under the same amount of tension. The first string is plucked at one location, primarily exciting the fifth harmonic. The other string is plucked in a different location, primarily exciting the fourth harmonic. The resulting sounds give rise to a beat frequency of 3.60 x 102 Hz What is the wave propagation speed on the guitar strings? m/s 241.2 wave propagation speed:
A rope of length 1.40 m is stretched between two supports with a tension that makes...
A rope of length 1.40 m is stretched between two supports with a tension that makes the transverse waves have a speed of 47.9 m/s . Part A What is the wavelength of the fundamental harmonic? Part B What is the frequency of the fundamental harmonic? Part C What is the wavelength of the second overtone? Part D What is the frequency of the second overtone? Part E What is the wavelength of the fourth harmonic? Part F What is...
Assume that the length of the section that vibrates in the strings of a guitar is...
Assume that the length of the section that vibrates in the strings of a guitar is 1 m, this is the distance from the bridge to the nut. The second string from the top, out of six, is conventionally tuned to A two octaves below concert A. This is written as A2, and the note has a frequency of 110 Hz. The A-Major scale starting at A2, with the respective frequencies in the Pythagorean Tuning is: A2: 110.00 Hz. ...
Two identical guitar strings are prepared such that they have the same length (0.65 m0.65 m)...
Two identical guitar strings are prepared such that they have the same length (0.65 m0.65 m) and are under the same amount of tension. The first string is plucked at one location, primarily exciting the first harmonic. The other string is plucked in a different location, primarily exciting the fourth harmonic. The resulting sounds give rise to a beat frequency of 378 Hz378 Hz. What is the wave propagation speed on the guitar strings? wave propagation speed: m/s
Two piano strings have the same length (0.7 cm) and mass density (16 grams/meter), but the...
Two piano strings have the same length (0.7 cm) and mass density
(16 grams/meter), but the tension of one string is 6% greater than
the first. If beats with a frequency of 5 Hz are observed when the
third (n=3) harmonics of each string are excited simultaneously,
what is the tension of the string with the lower pitch (frequency)?
Answer in newtons to the nearest newton.
Question 3 0/2 pts Two piano strings have the same length (0.7 cm) and...
A spring of length 6.0 m is stretched between two walls at a tension of 12...
A spring of length 6.0 m is stretched between two walls at a tension of 12 N, as shown below. On the diagram above, draw the third harmonic. What is the wavelength of the third harmonic? If you measure the frequency of the third harmonic to be 15.0 Hz then what is the mass of the spring?
Problem 3: Vibrating string The string is fixed at two ends with distance 1.5m. Its mass...
Problem 3: Vibrating string The string is fixed at two ends with distance 1.5m. Its mass is 5g and the tension in the string is 50N and it vibrates on its third harmonic. a) What is the wavelength of waves of the string b) What is the frequency of the waves. c) The vibrations produce the sound with the same frequency. What is the wavelength of the sound emitted by the string?
A string is stretched to a length of 406 cm and both ends are fixed. If...
A string is stretched to a length of 406 cm and both ends are fixed. If the density of the string is 0.0066 g/cm, and it’s tension is 924 N, what is the fundamental frequency? Answer in units of Hz.
Example 18.7 The Mistuned Piano Strings Two identical piano strings of length 0.775 m are each tuned exactly to 400 Hz....
Example 18.7 The Mistuned Piano Strings Two identical piano strings of length 0.775 m are each tuned exactly to 400 Hz. The tension in one of the strings is then increased by 1.0%. If they are now struck, what is the beat frequency between the fundamentals of the two strings? SOLVE IT Conceptualize As the tension in one of the strings is changed, its fundamental frequency changes. Therefore, when both strings are played, they will have different frequencies and beats...
Two identical guitar strings are prepared such that they have the same length (0.67 m) and are under the same amount of tension. The first string is plucked at one location, primarily exciting the fifth harmonic. The other string is plucked in a different location, primarily exciting the fourth harmonic. The resulting sounds give rise to a beat frequency of 3.60 x 102 Hz What is the wave propagation speed on the guitar strings? m/s 241.2 wave propagation speed:
Two piano strings have the same length (0.7 cm) and mass density
(16 grams/meter), but the tension of one string is 6% greater than
the first. If beats with a frequency of 5 Hz are observed when the
third (n=3) harmonics of each string are excited simultaneously,
what is the tension of the string with the lower pitch (frequency)?
Answer in newtons to the nearest newton.
Question 3 0/2 pts Two piano strings have the same length (0.7 cm) and...
A spring of length 6.0 m is stretched between two walls at a tension of 12 N, as shown below. On the diagram above, draw the third harmonic. What is the wavelength of the third harmonic? If you measure the frequency of the third harmonic to be 15.0 Hz then what is the mass of the spring?
Problem 3: Vibrating string The string is fixed at two ends with distance 1.5m. Its mass is 5g and the tension in the string is 50N and it vibrates on its third harmonic. a) What is the wavelength of waves of the string b) What is the frequency of the waves. c) The vibrations produce the sound with the same frequency. What is the wavelength of the sound emitted by the string?
Example 18.7 The Mistuned Piano Strings Two identical piano strings of length 0.775 m are each tuned exactly to 400 Hz. The tension in one of the strings is then increased by 1.0%. If they are now struck, what is the beat frequency between the fundamentals of the two strings? SOLVE IT Conceptualize As the tension in one of the strings is changed, its fundamental frequency changes. Therefore, when both strings are played, they will have different frequencies and beats...
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