• Show that the tension T of the string is related to the fundamental frequency f1...
• Show that the tension T of the string is related to the fundamental frequency f1 by where L is the length of the string, and u is the linear mass of the string.
Homework Answers
here
the fundamental frequency is
f1 = v / 2*L
and the velocity v= sqrt(T / (m/L))
then put the value of v
f1 = sqrt(T/(m/L)) / 2*L
Add Answer to:
• Show that the tension T of the string is related to the
fundamental frequency f1...
Suppose on a string of length L=87 cm, tension T=115 N, and mass m the fundamental...
Suppose on a string of length L=87 cm, tension T=115 N, and mass m the fundamental (1st Harmonic) has a frequency of f1= 500.0 Hz. a) What is the wavelength of the fundamental? b) What is the speed of propagation of the wave in the string? c) What is the mass m of the string? d) In order to tune the string to a new fundamental frequency of 505 Hz, how much does the tension need to change? Will it...
A string of length L, mass per unit length mu, and tension T is vibrating at...
A string of length L, mass per unit length mu, and tension T is vibrating at its fundamental frequency. What effect will the following have on the fundamental frequency? The length of the string is doubled, with all other factors held constant. The mass per unit length is doubled, with all other factors held constant. The tension is doubled, with all other factors held constant.
A string vibrates in its fundamental tone at a frequency of 256 Hz. Find the %...
A string vibrates in its fundamental tone at a frequency of 256 Hz. Find the % increase in the tension if the string vibrates at 262 Hz. known equations: Fbeat = F2-F1, v = n((T/u)^1/2)/2L
Standing Waves! Questions: I. You have a fundamental standing wave at a frequency f, tension F,...
Standing Waves!
Questions: I. You have a fundamental standing wave at a frequency f, tension F, linear density μ and length L. What tension would you use to double the frequency? 2. You have a fundamental standing wave at a frequency f, tension F, linear density μ and length L. What length would you use to double the frequency? 3. You have a fundamental standing wave at a frequency f, tension F, linear density μ and length L. What linear...
1a You have a fundamental standing wave at a frequency f, tension F, linear density μ...
1a You have a fundamental standing wave at a frequency f, tension F, linear density μ and length L. What tension would you use to double the frequency? 1b. You have a fundamental standing wave at a frequency f, tension F, linear density μ and length L. What length would you use to double the frequency? 1c. You have a fundamental standing wave at a frequency f, tension F, linear density μ and length L. What linear density would you...
Problem 2 The fundamental frequency of a stretched string (such as a guitar string) depends on...
Problem 2 The fundamental frequency of a stretched string (such as a guitar string) depends on its tension T [N = kg m/s2), mass m [kg], and length L [m]. The possible multiple choice answers are below. The following strategies can help catch mistakes in your work and eliminate incorrect answers on the exam. (a) f = 2mT L2 TL (b) f = 4m T (c) f = 4mL (d)f= T 4m2 mL (e) f = 47 ml (f) f...
Problem 2 The fundamental frequency of a stretched string (such as a guitar string) depends on...
Problem 2 The fundamental frequency of a stretched string (such as a guitar string) depends on its tension T[N = kg m/s2], mass m [kg], and length L [m]. The possible multiple choice answers are below. The following strategies can help catch mistakes in your work and eliminate incorrect answers on the exam. (a) f = 2mt L2 (b) f = TL 4m T (c) f = 4ml T (d) f = 4ml ml (e) f = ᏎᎢ mL (f)...
If the tension in a string doubled, then a natural frequency will increase decrease by If...
If the tension in a string doubled, then a natural frequency will increase decrease by If the 3^rd harmonic has a frequency of 600Hz, the frequency of the fundamental is Two strings have the same length and tension. One string has a mass per length that is 4 times that of the other string. The fundamental frequency of the more massive string will be times larger smaller than that of the less massive string. A musician playing a string instrument...
Problem 2 The fundamental frequency of a stretched string (such as a guitar string) depends on...
Problem 2 The fundamental frequency of a stretched string (such as a guitar string) depends on its tension T[N = kg m/s2], mass m [kg], and length L [m]. The possible multiple choice answers are below. The following strategies can help catch mistakes in your work and eliminate incorrect answers on the exam. NAME Group Work 10 7/29/2020 SU20-Physics 1200 (a) f = 2mTL2 (b)f = TL 4m T (c) f = 4mL (d) f = T 4ml ml (e)...
A rope has a length of 5.00 m between its two fixed points and a mass per unit length (linear density) of 40.0 g / m. if the string vibrates at a fundamental frequency of 20 Hz. a) Calculate the tension of the string. b) Calculate the frequency and wavele
A rope has a length of 5.00 m between its two fixed points and a mass per unit length (linear density) of 40.0 g / m. if the string vibrates at a fundamental frequency of 20 Hz. a) Calculate the tension of the string. b) Calculate the frequency and wavelength of the second harmonic (n = 2). c) Calculate the frequency and wavelength of the third harmonic. d) the speed of propagation of the wave.
A string of length L, mass per unit length mu, and tension T is vibrating at its fundamental frequency. What effect will the following have on the fundamental frequency? The length of the string is doubled, with all other factors held constant. The mass per unit length is doubled, with all other factors held constant. The tension is doubled, with all other factors held constant.
Standing Waves!
Questions: I. You have a fundamental standing wave at a frequency f, tension F, linear density μ and length L. What tension would you use to double the frequency? 2. You have a fundamental standing wave at a frequency f, tension F, linear density μ and length L. What length would you use to double the frequency? 3. You have a fundamental standing wave at a frequency f, tension F, linear density μ and length L. What linear...
Problem 2 The fundamental frequency of a stretched string (such as a guitar string) depends on its tension T [N = kg m/s2), mass m [kg], and length L [m]. The possible multiple choice answers are below. The following strategies can help catch mistakes in your work and eliminate incorrect answers on the exam. (a) f = 2mT L2 TL (b) f = 4m T (c) f = 4mL (d)f= T 4m2 mL (e) f = 47 ml (f) f...
Problem 2 The fundamental frequency of a stretched string (such as a guitar string) depends on its tension T[N = kg m/s2], mass m [kg], and length L [m]. The possible multiple choice answers are below. The following strategies can help catch mistakes in your work and eliminate incorrect answers on the exam. (a) f = 2mt L2 (b) f = TL 4m T (c) f = 4ml T (d) f = 4ml ml (e) f = ᏎᎢ mL (f)...
If the tension in a string doubled, then a natural frequency will increase decrease by If the 3^rd harmonic has a frequency of 600Hz, the frequency of the fundamental is Two strings have the same length and tension. One string has a mass per length that is 4 times that of the other string. The fundamental frequency of the more massive string will be times larger smaller than that of the less massive string. A musician playing a string instrument...
Problem 2 The fundamental frequency of a stretched string (such as a guitar string) depends on its tension T[N = kg m/s2], mass m [kg], and length L [m]. The possible multiple choice answers are below. The following strategies can help catch mistakes in your work and eliminate incorrect answers on the exam. NAME Group Work 10 7/29/2020 SU20-Physics 1200 (a) f = 2mTL2 (b)f = TL 4m T (c) f = 4mL (d) f = T 4ml ml (e)...
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