Problem-solving workshop 2: Waves. Sections: 004, 005, 006, 008 (var. 1). Feb. 1
-Feb 5, 2010. Please do problems on both sides of the page and submit at the ...
Physics 1051
Name:________________ Student Number:________________
Problem-solving workshop 2: Waves Sections: 004, 005, 006, 008 (var. 1) Feb. 1-Feb 5, 2010 Please do problems on both sides of the page and submit at the end of the period. Assume all numbers are given to 3 significant figures. 1.
Two speakers emit high frequency sound waves in phase. Speaker 1 is at the origin and speaker 2 is moved up the y-axis starting from the origin. An observer is positioned on the x-axis at x=15.0 m. As speaker 2 moves, the sound heard by the observer gets fainter and then increases to a maximum again when speaker 2 is at y=1.0 m. Assume the speed of sound is 330 m/s. (a)
What is the frequency of the emitted sound?
(b)
If speaker 2 continues to move up the y-axis, what is its position when the next maximum in sound intensity is heard by the observer?
Physics 1051 2.
Name:________________ Student Number:________________
A vertical tube is filled to the top with water. A vibrating tuning fork is held above its mouth. Water is slowly drained out of the tube and sound from the tuning fork first resonates in the tube when the water level is 15.0 cm below the top of the tube. (Assume that the speed of sound in air is 330 m/s.) (a) What is the wavelength of the sound emitted by the tuning fork? In tube a, illustrate the amplitude of the displacement versus position in the tube for this harmonic. (b) What is the frequency of the tuning fork? (c) As the water is lowered further, what is the next water level at which sound from the tuning fork resonates in the tube? Illustrate this harmonic in the tube b.
3.
A string held at both ends vibrates in its fundamental mode at 512 Hz. What would its fundamental frequency be if both the tension and the length of the string were doubled?
Physics 1051
Name:________________ Student Number:________________
Problem-solving workshop 2: Waves Sections: 004, 005, 006, 008 (var. 2) Feb 2-Feb 6, 2009 Please do problems on both sides of the page and submit at the end of the period. Assume all numbers are given to 3 significant figures. 1.
Two speakers emit high frequency sound waves in phase. Speaker 1 is at the origin and speaker 2 is moved up the y-axis starting from the origin. An observer is positioned on the x-axis at x=10.0 m. As speaker 2 moves, the sound heard by the observer gets fainter and then increases to a maximum again when speaker 2 is at y=0.8 m. Assume the speed of sound is 330 m/s. (a)
What is the frequency of the emitted sound?
(b)
If speaker 2 continues to move up the y-axis, what is its position when the next maximum in sound intensity is heard by the observer?
Physics 1051
Name:________________ Student Number:________________
2. A vertical tube is filled to the top with water. A vibrating tuning fork is held above its mouth. Water is slowly drained out of the tube and sound from the tuning fork first resonates in the tube when the water level is 13.5 cm below the top of the tube. (Assume that the speed of sound in air is 330 m/s.) (a) What is the wavelength of the sound emitted by the tuning fork? In tube a, illustrate the amplitude of the displacement versus position in the tube for this harmonic. (b) What is the frequency of the tuning fork? (c) As the water is lowered further, what is the next water level at which sound from the tuning fork resonates in the tube? Illustrate this harmonic in the tube b.
3.
A string held at both ends vibrates in its fundamental mode at 512 Hz. What would its fundamental frequency be if both the tension and the length of the string were increased by a factor of 3?
Physics 1051
Name:________________ Student Number:________________
Problem-solving workshop 2: Waves Sections: 004, 005, 006, 008 (var. 3) Feb 1 - Feb 5, 2010 Please do problems on both sides of the page and submit at the end of the period. Assume all numbers are given to 3 significant figures. 1.
Two speakers emit high frequency sound waves in phase. Speaker 1 is at the origin and speaker 2 is moved up the y-axis starting from the origin. An observer is positioned on the x-axis at x=14.0 m. As speaker 2 moves, the sound heard by the observer gets fainter and then increase to a maximum again when speaker 2 is at y=1.5 m. Assume the speed of sound is 330 m/s. (a)
What is the frequency of the emitted sound?
(b)
If speaker 2 continues to move up the y-axis, what is its position when the next maximum in sound intensity is heard by the observer?
Physics 1051
Name:________________ Student Number:________________
2. A vertical tube is filled to the top with water. A vibrating tuning fork is held above its mouth. Water is slowly drained out of the tube and sound from the tuning fork first resonates in the tube when the water level is 16.0 cm below the top of the tube. (Assume that the speed of sound in air is 330 m/s.) (a) What is the wavelength of the sound emitted by the tuning fork? In the tube a, illustrate the amplitude of the displacement versus position in the tube for this harmonic. (b) What is the frequency of the tuning fork? (c) As the water is lowered further, what is the next water level at which sound from the tuning fork resonates in the tube? Illustrate this harmonic in the tube b.
3.
A string held at both ends vibrates in its fundamental mode at 512 Hz. What would its fundamental frequency be if both the tension and the length of the string were halved?
Physics 1051
Name:________________ Student Number:________________
Problem-solving workshop 2: Waves Sections: 004, 005, 006, 008 (var. 4) Feb 1 - Feb 5, 2010 Please do problems on both sides of the page and submit at the end of the period. Assume all numbers are given to 3 significant figures. 1.
Two speakers emit high frequency sound waves in phase. Speaker 1 is at the origin and speaker 2 is moved up the y-axis starting from the origin. An observer is positioned on the x-axis at x=17.0 m. As speaker 2 moves, the sound heard by the observer gets fainter and then increases to a maximum again when speaker 2 is at y=2.0 m. Assume the speed of sound is 330 m/s. (a)
What is the frequency of the emitted sound?
(b)
If speaker 2 continues to move up the y-axis, what is its position when the next maximum in sound intensity is heard by the observer?
Physics 1051
Name:________________ Student Number:________________
2. A vertical tube is filled to the top with water. A vibrating tuning fork is held above its mouth. Water is slowly drained out of the tube and sound from the tuning fork first resonates in the tube when the water level is 17.5 cm below the top of the tube. (Assume that the speed of sound in air is 330 m/s.) (a) What is the wavelength of the sound emitted by the tuning fork? In the tube a, illustrate the amplitude of the displacement versus position in the tube for this harmonic. (b) What is the frequency of the tuning fork? (c) As the water is lowered further, what is the next water level at which sound from the tuning fork resonates in the tube? Illustrate this harmonic in the tube b.
3.
A string held at both ends vibrates in its fundamental mode at 512 Hz. What would its fundamental frequency be if both the tension and the length of the string were increased by a factor of 5?
