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4. A metal wire is 0.400 m long and is under a Tension force of 75.ON....
-. A metal wire is 0.400 m long and is under a Tension force of 75.0N....
-. A metal wire is 0.400 m long and is under a Tension force of 75.0N. a) What is the mass per unit length if it has a fundamental frequency of 440 Hz? b) How fast does a sound wave travel in the wire? c) What are the frequencies of the 2nd, 3rd, and 7th harmonics? d) What are the wavelengths for the 1st, 2nd, and 7th harmonics? e) What new tension must you exert on the string for the...
4. A wire with mass density 1.00 g/m and length 1.80 m is stretched between two...
4. A wire with mass density 1.00 g/m and length 1.80 m is stretched between two (fixed) clamps. It is vibrated at its third harmonic with a frequency of 240 Hz. a) Draw the standing wave pattern, labeling nodes and antinodes. b) What is the tension in the string? c) What is the fundamental frequency?
Name: - Harmonics Worksheet Wave on a String One end of a string with a linear...
Name: - Harmonics Worksheet Wave on a String One end of a string with a linear mass density of 1.45 . 10-2 kg/m is tied to a mechanical vibrator that can oscillate up and down. The other end hangs over a pulley 80 cm away. The mass hanging from the free end is 3 kg. The left end is oscillated up and down, which will create a standing wave pattern at certain frequencies. Draw the first five standing wave patterns...
Assume that your shower is 2.80 m (about 9.21 ft) tall and can be modeled as...
Assume that your shower is 2.80 m (about 9.21 ft) tall and can be modeled as a stopped organ pipe A. What will we have at the floor and ceiling, displacement nodes or antinodes? B. What is the wavelength of the fundamental harmonic for standing waves in this shower? C. What is the frequency of the fundamental harmonic for standing waves in this shower? D. What are the wavelengths of the second and third harmonics for this shower? E. What...
Problem 4 [8 pts] A long pipe, length L, is closed at both ends, and filled...
Problem 4 [8 pts] A long pipe, length L, is closed at both ends, and filled with a gas with speed of sound v. The pipe is excited in some fashion in order to produce standing waves. (a) Sketch the standing wave pattern for the four lowest frequencies supported by this pipe. Label the nodes and antinodes. (b) Make a table of the wavelengths and frequencies of the sound waves that are formed by these four excitations, in terms of...
A steel wire having a mass of 6.30 g and a length of 1.20 m is...
A steel wire having a mass of 6.30 g and a length of 1.20 m is fixed at both ends and has a tension of 955 N. (a) Find the speed of transverse waves on the wire. 1 405 Incorrect: Your answer is incorrect. m/s (b) Find the wavelength of the fundamental. 2 m (c) Find the frequency of the fundamental. 3 Hz (d) Find the frequency of the second harmonic. 4 Hz (e) Find the frequency of the third...
A 121-cm-long, 4.00 g string oscillates in its n = 6 mode with a frequency of...
A 121-cm-long, 4.00 g string oscillates in its n = 6 mode with a frequency of 180 Hz and a maximum amplitude of 5.00 mm. Find (a) the wavelength of 1st, 2nd, and 3rd harmonic; (b) the frequency of 1st, 2nd, and 3rd harmonic; (c) the speed of the wave in the string; (d) the tension in the string. Hint: Draw pictures of the first three harmonics!
3. A 121-cm-long, 4.00 g string oscillates in its n = 6 mode with a frequency...
3. A 121-cm-long, 4.00 g string oscillates in its n = 6 mode with a frequency of 180 Hz and a maximum amplitude of 5.00 mm. Find (a) the wavelength of 1st, 2nd, and 3rd harmonic; (b) the frequency of 1st, 2nd, and 3rd harmonic; (c) the speed of the wave in the string; (d) the tension in the string. Hint: Draw pictures of the first three harmonics!
A 32 cm long violin string is pulled tight with a force
A 32 cm long violin string is pulled tight with a force of 40 N. The string has a mass of 5 x 10-4 kg/m. (A) How fast do waves travel along this string? (B) If the frequency of a certain standing wave (which is NOT the fundamental) on this string is 1320 Hz, what is its wavelength? (C) If this wave in part B is a standing wave on the violin string, draw the pattern of nodes and antinodes.
EXAMPLE 14.8 Harmonics of a Stretched Wire GOAL Calculate string harmonics, relate them to sound, and...
EXAMPLE 14.8 Harmonics of a Stretched Wire GOAL Calculate string harmonics, relate them to sound, and combine them with tensile stress. PROBLEM (a) Find the frequencies of the fundamental, second, and third harmonics of a steel wire 1.00 m long with a mass per unit length of 2.00 x 10-kg/m and under a tension of 80.0 N. (b) Find the wavelengths of the sound waves created by the vibrating wire for all three modes. Assume the speed of sound in...
-. A metal wire is 0.400 m long and is under a Tension force of 75.0N. a) What is the mass per unit length if it has a fundamental frequency of 440 Hz? b) How fast does a sound wave travel in the wire? c) What are the frequencies of the 2nd, 3rd, and 7th harmonics? d) What are the wavelengths for the 1st, 2nd, and 7th harmonics? e) What new tension must you exert on the string for the...
4. A wire with mass density 1.00 g/m and length 1.80 m is stretched between two (fixed) clamps. It is vibrated at its third harmonic with a frequency of 240 Hz. a) Draw the standing wave pattern, labeling nodes and antinodes. b) What is the tension in the string? c) What is the fundamental frequency?
Name: - Harmonics Worksheet Wave on a String One end of a string with a linear mass density of 1.45 . 10-2 kg/m is tied to a mechanical vibrator that can oscillate up and down. The other end hangs over a pulley 80 cm away. The mass hanging from the free end is 3 kg. The left end is oscillated up and down, which will create a standing wave pattern at certain frequencies. Draw the first five standing wave patterns...
Problem 4 [8 pts] A long pipe, length L, is closed at both ends, and filled with a gas with speed of sound v. The pipe is excited in some fashion in order to produce standing waves. (a) Sketch the standing wave pattern for the four lowest frequencies supported by this pipe. Label the nodes and antinodes. (b) Make a table of the wavelengths and frequencies of the sound waves that are formed by these four excitations, in terms of...
EXAMPLE 14.8 Harmonics of a Stretched Wire GOAL Calculate string harmonics, relate them to sound, and combine them with tensile stress. PROBLEM (a) Find the frequencies of the fundamental, second, and third harmonics of a steel wire 1.00 m long with a mass per unit length of 2.00 x 10-kg/m and under a tension of 80.0 N. (b) Find the wavelengths of the sound waves created by the vibrating wire for all three modes. Assume the speed of sound in...
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