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 harmonic. 5 Hz Find the speed of transverse waves on the wire from the tension and linear mass density. Find the wavelengths of any harmonic from the standing wave condition of waves on a string fixed at both ends. For a wire fixed at both ends, the higher harmonics are integer multiples of the first harmonic (fundamental).
Homework Answers
6. A wire has a mass of 4.6 g and a length of 1.5 m is...
6. A wire has a mass of 4.6 g and a length of 1.5 m is fixed at both ends and has a tension of 893 N. (a) What is the speed (in m/s) of transverse waves on the wire. (b) Determine the wavelength (in m) and frequency (in Hz) of the fundamental. (c) What are the frequencies of the second in Hz) and fifth harmonics (in Hz).
algebra based physics 1. A steel guitar string has a mass per length of 0.720 g/m....
algebra based physics
1. A steel guitar string has a mass per length of 0.720 g/m. If the length of the string between two fixed ends is 54.6 cm, what tension is needed for fundamental frequency of middle C (261.6 Hz)? a. What is the wavelength of the fundamental mode? b. What is the speed of the waves on the string? c. What tension is needed for the fundamental frequency? 2. Sketch the waveform of the third harmonic for a...
Q. A steel wire with mass 37.0 g and length 7.10 m is stretched tightly between...
Q. A steel wire with mass 37.0 g and length 7.10 m is stretched tightly between its two endpoints. In its fundamental mode, the wire vibrates at a frequency of 59.0 Hz. When plucked, traveling waves bounce from one end to the other. a) What is the speed of waves propagating along the wire? b) Calculate the tension in the wire. c) A standing wave at the fundamental frequency has an amplitude of 0.340 cm . Calculate the magnitude of...
-. 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 metal wire is 0.400 m long and is under a Tension force of 75.ON....
4. A metal wire is 0.400 m long and is under a Tension force of 75.ON. 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...
A string fixed at both ends has successive resonances with wavelengths of 0.55 m for the...
A string fixed at both ends has successive resonances with wavelengths of 0.55 m for the nth harmonic and 0.53 m for the (n + 1)th harmonic. (a) What are the following values? nth harmonic (n + 1)th harmonic (b) What is the length of the string? m Use the fact that the resonance frequencies are multiples of the fundamental frequency and are expressible in terms of the speed of the waves and their wavelengths to find the harmonic numbers....
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...
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?
a 2.0 m length of string with a mass density of 2.95 x 10^-4 kg/m is...
a 2.0 m length of string with a mass density of 2.95 x 10^-4
kg/m is fixed at both ends and driven at 120 Hz. The tension is
varied to obtain standing waves (resonance) on the string.
1. what is the longest wavelength for a standing wave possible
on the string?
2. the tension on the string is varies to obtain fourth
harmonic
a. what is the wavelength of this standing wave?
b. what is the wave speed
3. what...
10-15 pls 010 10.0 points A sinusoidal transverse wave travels along a wire of linear density...
10-15 pls
010 10.0 points A sinusoidal transverse wave travels along a wire of linear density 8.34 g/m. The wave has amplitude 1.2 cm, frequency 132 Hz and wavelength 3.07 m What is the tension of the wire? Answer in units of N 011 (part 1 of 2) 10.0 points A standing wave is formed on a string that is 32 m long, has a mass per unit length 0.00512 kg/m, and is stretched to a tension of 18 N...
6. A wire has a mass of 4.6 g and a length of 1.5 m is fixed at both ends and has a tension of 893 N. (a) What is the speed (in m/s) of transverse waves on the wire. (b) Determine the wavelength (in m) and frequency (in Hz) of the fundamental. (c) What are the frequencies of the second in Hz) and fifth harmonics (in Hz).
algebra based physics
1. A steel guitar string has a mass per length of 0.720 g/m. If the length of the string between two fixed ends is 54.6 cm, what tension is needed for fundamental frequency of middle C (261.6 Hz)? a. What is the wavelength of the fundamental mode? b. What is the speed of the waves on the string? c. What tension is needed for the fundamental frequency? 2. Sketch the waveform of the third harmonic for a...
-. 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 metal wire is 0.400 m long and is under a Tension force of 75.ON. 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...
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...
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?
a 2.0 m length of string with a mass density of 2.95 x 10^-4
kg/m is fixed at both ends and driven at 120 Hz. The tension is
varied to obtain standing waves (resonance) on the string.
1. what is the longest wavelength for a standing wave possible
on the string?
2. the tension on the string is varies to obtain fourth
harmonic
a. what is the wavelength of this standing wave?
b. what is the wave speed
3. what...
10-15 pls
010 10.0 points A sinusoidal transverse wave travels along a wire of linear density 8.34 g/m. The wave has amplitude 1.2 cm, frequency 132 Hz and wavelength 3.07 m What is the tension of the wire? Answer in units of N 011 (part 1 of 2) 10.0 points A standing wave is formed on a string that is 32 m long, has a mass per unit length 0.00512 kg/m, and is stretched to a tension of 18 N...
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