A string is vibrated, with a wave that has a wavelength of 6 meters. How long is 1 loop of the...
Question:
A string is vibrated, with a wave that has a wavelength of 6 meters. How long is 1 loop of the standing wave?
Standing Waves
A wave is an organized propagation of a disturbance. It is organized in the sense that the propagation is governed by a definite mathematical condition- the wave should obey the classical wave equation. As the wave propagates it will set the medium along its propagation path into the disturbance. The particles of the medium are triggered into oscillations. The distance traveled by the wave by the time source has completed one oscillation is called the wavelength. The time taken for one oscillation is the time period. So clearly the ratio of the wavelength to the time period must be the velocity of propagation.
Answer and Explanation: 1
Become a Study.com member to unlock this answer! Create your account
View this answerA wave that transports energy and momentum from one region of space to another is called a progressive wave. If points in the medium at the same phase...
See full answer below.
Ask a question
Our experts can answer your tough homework and study questions.
Ask a question Ask a questionSearch Answers
Learn more about this topic:
Get access to this video and our entire Q&A library
Standing Wave: Definition, Equation & Theory
from
Chapter 5 / Lesson 19
14K
Standing waves are a result of wave interference. Explore the lesson to learn about the properties of standing waves, find their formulas, and see some examples.
Related to this Question
- A standing wave is moving at 300 m/s on a 6 m long string. What is the wavelength of the 9th overtone?
- A string that is fixed at both ends has a length of 2.21 m. When the string vibrates at a frequency of 83.3 Hz, a standing wave with three loops is formed. (a) What is the wavelength of the waves that
- When you have a standing wave, how is the length of the string related to the wavelength of vibration? (Hint: How is a loop length related to the wavelength of the vibration?)
- A string of length 2.7 m is fixed at both ends. When the string vibrates at a frequency of 90.0 Hz, a standing wave with 5 loops is formed. What is the wavelength of the waves that travel on the strin
- A stretched string, fixed at both ends, vibrates at a frequency of 12 Hz with a standing transverse wave with three loops. If the string is 5 meters long, what is the wave velocity?
- A wave pulse on a string moves a distance of 8 m in 0.04 s. What would be the wavelength of the wave on the same string if its frequency is 200 Hz? \\ (A) 0.4 m \\ (B) 0.5 m \\ (C) 0.8 m \\ (D) 0.10 m
- A 1.2 m long string is fixed at both ends and tightened until the wave speed is 50 \frac{m}{s}. What is the frequency of the standing wave?
- A 1.1 m-long string is fixed at both ends and tightened until the wave speed is 40 m/s. What is the frequency of the standing wave?
- A 2.0 m long string is fixed at both ends and tightened until the wave speed is 40 m/s. What is the frequency of the standing wave?
- A 1.2 m-long string is fixed at both ends and tightened until the wave speed is 20 m/s. What is the frequency of the standing wave?
- A string is vibrating at its resonant frequency in 1 loop. IF the length of the string is 12 cm, what is the wavelength of the wave? 1. 0.12m 2. 0.06 m 3. None of the above. 4. 0.24m
- Waves propagate at 4.0 m/s along a stretched string. The end of the string is vibrated up and down once every 3.0 s. What is the wavelength of the waves that travel along the string?
- The nth harmonic of standing waves in a string of length L has a wavelength of 0.4629 m, while the (n -1)th harmonic has a wavelength of 0.5400 m. Find L, the length of the string.
- A string 1.5 meters long is held fixed at both ends and is vibrating at the frequency of its third harmonic (m=3). What would the wavelength of the standing wave be?
- A string that is fixed at both ends has a length of 2.23 m. When the string vibrates at a frequency of 78.9 Hz, a standing wave with seven loops is formed. a. What is the wavelength of the waves that
- A string with a length of 1.3 m is fixed at both ends. What is the longest possible wavelength for a standing wave on this string?
- Standing waves on a 1.7 m long string that is fixed at both ends are seen at successive frequencies of 36 Hz and 54 Hz. What is the wave speed?
- The mass of a string is 6 grams, and it is stretched so that its tension is 150 N. A transverse wave travelling on this string has a frequency of 160 Hz and a wavelength of 0.40 m. What is the length
- A 0.588-meter string is clamped at both ends. If the lowest standing wave frequency in the string is 326 Hz, what is the wave speed?
- A 2.3 m -long string is fixed at both ends and tightened until the wave speed is 50 m/s . What is the frequency of the standing wave?
- A 1.7 m -long string is fixed at both ends and tightened until the wave speed is 40 m/s . What is the frequency of the standing wave?
- A standing wave is moving at 300 m/s on a 6 m long string. What is the fundamental frequency of the wave?
- A string that is fixed at both ends has a length of 9.0 meters. When the string vibrates at a frequency of 45 Hz, a standing wave with three loops is formed. a) What is the speed of the wave? b) What is the wavelength of the waves that travel on the
- For the standing waves on the strings, we generate a standing wave. The distance between the two end of string is 0.8 m. The distance between nodes is 0.16 m. What is the wave length of the wave on st
- A string 2.00 m long is fixed at both ends. What are the three longest wavelengths of standing waves established in the string? (Assume the velocity of sound to be 340 m/s.)
- A standing wave on a string has the form shown in the picture below. If the length of the string is 12 m, what is the wavelength of this standing wave? (a) 24 m (b) 12 m (c) 3 m (d) 4 m (e) 8 m (f) 16 m (g) 6 m (h) 2 m
- A 10.0-m long string of mass 20.0 g is clamped at both ends. The tension in the string is 200 N. The string is pluck so that it oscillates. What is the wavelength of the wave if it produces a standing
- A string fixed at both ends is 8.40 m long and has a mass of 0.120 kg. It is subjected to a tension of 96.0 N and set oscillating. (a) What is the speed of the waves on the string? (b) What is the longest possible wavelength for a standing wave? (c) Gi
- If the speed of a transverse wave on a stretched string of length 1 m is 60 m/s, what is the fundamental frequency of vibration?
- A stretched string of length 8 m vibrates at a frequency of 50 Hz producing a standing wave pattern with 4 loops. a) What is the speed of the wave?
- Standing waves on a 1.0-m-long string that is fixed at both ends are seen at successive frequencies of 36 Hz and 48 Hz. a. What is the fundamental frequency? b. What is the wave speed?
- A 2.8 \ m long string of mass 11.2 \ g is clamped at both ends. The tension in the string is 143 \ N. The string is plucked so that it oscillates. What is the wavelength and frequency of the resulting wave it produces a standing wave with two antinodes?
- A standing wave is oscillating on a 60-cm string at 590 Hz. What is the speed of traveling waves on this string? a. 120 m/s b. 180 m/s c. 350 m/s d. 240 m/s
- What is the longest wavelength for standing waves on a 238.0 cm long string that is fixed at both ends?
- You want to set up a standing wave on a string that has a length of 3.7 m. You find that the lowest frequency that will work is 46 Hz. What is the speed of a wave on this string?
- A 0.510-m string is clamped at both ends. If the lowest standing wave frequency in the string is 326 Hz, what is the wave speed?
- A 0.588 m string is clamped at both ends. If the lowest standing wave frequency in the string is 326 Hz, what is the wave speed?
- A transverse wave, with frequency 15.0 Hz, travels along a string. The distance between a crest and an adjacent trough is 3.50 m. What is its wavelength?
- A 2\ \mathrm{m} long string of mass 10\ \mathrm{g} is clamped at both ends.the tension in the string is 150\ \mathrm{N}. The string is plucked so that it oscillate. What is the wavelength and frequency of the resulting wave if it produces a standing wave
- A Piece of string 5.3-m long has a mass of 15.0 g. What must the tension in the string be to make the wavelength of a 125 Hz wave 120.0 cm?
- (a) What are the three longest wavelengths for standing waves on a 240-cm-long string that is fixed at both ends? (b) If the frequency of the second-longest wavelength is 50 Hz, what is the frequency of the third-longest wavelength?
- Standing waves on a 1.3 \ m long string that is fixed at both ends are seen at successive frequencies of 36 \ Hz and 54 \ Hz. (a) What is the fundamental frequency? (b) What is the wave speed?
- A sinusoidal transverse wave travels along a long stretched string. The amplitude of this wave is 0.0937 m, its frequency is 3.03 Hz, and its wavelength is 1.07 m. (a) What is the shortest transverse
- A sinusoidal transverse wave travels along a long stretched string. The amplitude of this wave is 0.0887 m, its frequency is 2.27 Hz, and its wavelength is 1.73 m. (a) What is the shortest transverse
- What is the longest wavelength for standing waves on a 368.0 cm long string that is fixed at both ends? (a) What is the second longest wavelength for standing waves? (b) What is the third longest wavelength for standing waves? (c) If the frequency of t
- The velocity of a wave on a particular string is 21.8 m/s and the string is 3 meters long. What are the three lowest harmonic frequencies that will produce a standing wave?
- A 4 kHz sine wave travels along a string with a velocity of 214 m/s. Determine the wavelength of the wave.
- What is the length of a string whose third harmonic standing wave has a frequency of 27 Hz and along which the wave travels at 45 m/s?
- The equation of a transverse wave travelling along a very long string is given by y = 6.0 \; sin(0.020 \pi x + 3.1 \pi t), where x and y are expressed in centimetres and t is in seconds. Determine the following values. (a) the amplitude (b) the wavelength
- a) What are the three longest wavelengths for standing waves on a 210 cm long string that is fixed at both ends? b) If the frequency of the second longest wavelength in part a) is 45.0 Hz , then wha
- A string of length L with fixed ends is made to go into standing wave patterns. What is the longest wavelength associated with all possible standing wave patterns in this situation?
- a 2m long string of mass 10g is clamped at both ends. The tension in the string is 150N. The string is plucked so that it oscillate. What is the wavelength and frequency of the resulting wave it is pr
- A string is under a tension of 700.0 N. A 1.5 m length of the string has a mass of 4.5 grams. a) What is the speed of a transverse wave of wavelength 0.50 m in this string? b) What is the frequency
- Will a standing wave be formed in a 2.0-m length of stretched string that transmits waves at a speed of 10 m/s if it is driven at a frequency of: a. 10 Hz b. 15 Hz c. 20 Hz d. none of these Why?
- A string of length 10.0 m is tied between two posts and plucked. This sends a wave down the string moving at a speed of 130 m/s with a frequency of 215 Hz. How many complete wavelengths of this wave will fit on the string?
- The string is 1.00 m long with tension 6.00 N. The total mass of the string is 0.012 kg. Find the wavelength of this standing wave in meters.
- The string is 1.40 m long with tension 12.00 N. The total mass of the string is 0.010 kg. Find the wavelength of this standing wave in meters.
- The string is 0.80 m long with tension 7.00 N. The total mass of the string is 0.012 kg. Find the wavelength of this standing wave in meters.
- If the frequency of a standing wave is 485 Hz, how far apart are the two adjacent nodes? The speed of waves on a string is 97 m/s.
- A sinusoidal transverse wave travels along a long stretched string. The amplitude of this wave is 0.0989 m, its frequency is 2.95 Hz, and its wavelength is 1.37m. a) What is the shortest transverse di
- One end of a string 6.0 m long is moved up and down with simple harmonic motion at a frequency of 40 Hz. The waves reach the other end of the string in 0.60 s. Find the wavelength of the waves on the
- One end of a string 5.34 m long is moved up and down with simple harmonic motion at a frequency of 15 Hz . The waves reach the other end of the string in 0.5 s . Find the wavelength of the waves on th
- The fundamental frequency of a standing wave on a 1.0 m long string is 440 Hz. What would be the wave speed of a pulse moving along the string?
- A piece of string 5.3 m long has a mass of 15 g. What must the tension in the string be to make, in a 125 Hz wave, a wavelength 120 cm long?
- Three resonant frequencies of the string are 90, 150, and 210 Hz. If the length of the string is 80 cm, what is the speed of the transverse waves in the string?
- The speed of a transverse wave on a string is 470 m per s, and the wavelength is 0.1 m. The amplitude of the wave is 1.6 mm. How much time is required for a particle of the string to move through a to
- The equation of a transverse wave travelling along a very long string is y = 9.61 \; sin(0.0778x+ 2.49t), where x and y are expressed in centimetres and t is in seconds. Determine (a) the amplitude, (b) the wavelength, (c) the frequency, (d) the speed, an
- The wave speed on a tightened guitar string is 880 m/s. What is the shortest length of string that will produce standing waves of 440-Hz frequency?
- The speed at which a wave propagates down a string is 300 m/s. If the frequency of this wave is 150 Hertz, what is the wavelength of this wave?
- A string with a length of 2.5m resonates in five loops. The string linear density is 0.05 kg/m and the suspended mass is 0.5 kg. What is the wavelength and wave speed
- A violin string of length L is fixed at both ends. Which one of these is not a wavelength of a standing wave on the string? A) L B) 2L C) L / 2 D) L / 3 E) 3L / 2
- A guitar string 54 cm long vibrates with a standing wave that has five antinodes. Which harmonic is this? What is the wavelength of this wave?
- A guitar string that is 61 cm long vibrates with a standing wave that has 3 antinodes. a. Which harmonic is this? b. What is the wavelength of this wave?
- A string of length L is held in place at both ends. What is the wavelength of the fundamental frequency of the string?
- The fundamental frequency of a string fixed at both ends is 325 Hz. How long does it take for a wave to travel the length of this string?
- The fundamental frequency of a string fixed at both ends is 375 Hz. How long does it take for a wave to travel the length of this string?
- The fundamental frequency of a string fixed at both ends is 209 Hz. How long does it take for a wave to travel the length of this string?
- The fundamental frequency of a string fixed at both ends is 384 Hz. How long does it take for a wave to travel the length of this string?.
- A standing wave is moving at 300 m/s on a 6 m long string. What is the frequency of the 7th overtone?
- A stretched string fixed at both ends is 2.0 m long. What are three wavelengths that will produce standing waves on this string?
- If the wavelength of a set of waves is 20 feet long, how deep is the wave base?
- The equation of a transverse wave traveling along a very long string is given by y = 6.1 sin(0.021px + 3.8pt), where x and y are expressed in centimeters and t is in seconds. Determine the following values: (a) The amplitude (cm) (b) The wavelength (cm)
- The equation of a transverse wave traveling along a very long string is given by y = 6.1 sin(0.021px + 3.8pt), where x and y are expressed in centimeters and t is in seconds. Determine the following values. (a) The amplitude, in cm. (b) The wavelength,
- A string of length 10.0 \ m is tied between two posts and plucked. This sends a wave down the string moving at a speed of 130 \ m/s with a frequency of 215 \ Hz. How many complete wavelengths of this
- A certain string vibrates in its fundamental frequency at 250 Hz. If the string is 15 cm long, what is the velocity of the wave in the string? What is the wavelength of the second harmonic frequency (the second wave which will fit into this length of the
- When driven by a 120 Hz vibrator, a string has transverse waves of 31 cm wavelength traveling along it. (a) What is the speed of the waves on the string& (b) Is the tension in the string is 1.2 N, wha
- A stretched string fixed at both ends is 2.0 m long. What are the three wavelengths that will produce standing waves on this string? Name at least one wavelength that would not produce a standing wav
- The speed of a transverse wave on a string is 461 m/s, while the wavelength is 0.167 m. The amplitude of the wave is 1.93 mm. How much time is required for a particle of the string to move through a total distance of 1.28 km?
- The speed of a transverse wave on a string is 490 m/s, and the wavelength is 0.18 m. The amplitude of the wave is 1.1 mm. How much time is required for a particle of the string to move through a total distance of 1.0 km?
- The speed of a transverse wave on a string is 567 m/s, while the wavelength is 0.151 m. The amplitude of the wave is 2.11 mm. How much time is required for a particle of the string to move through a total distance of 0.825 km?
- The speed of a transverse wave on a string is 460 m/s, and the wavelength is 0.19 m. The amplitude of the wave is 2 mm. How much time is required for a particle of the string to move through a total distance of 1.0 km?
- The speed of a transverse wave on a string is 450 m/s, and the wavelength is 0.18 m. The amplitude of the wave is 2.0 mm. How much time is required for a particle of the string to move through a total distance of 1.0 km?
- The displacement of a string is given by y ( x , t ) = y m s i n ( k x + w t ) . The wavelength of the wave is A) 2 pk/w B) k/w C) wk D) 2 p/k E) k/2p
- The equation of a transverse wave traveling along a very long string is given by y = 5.7 sin(0.024x +4.7t), where x and y are expressed in centimeters and t is in seconds. Determine the following. (a) The amplitude (cm) (b) The wavelength (cm) (c) The
- A standing wave is oscillating at 115 Hz on a string. The distance d between the two walls equals 65 cm. What is the wave speed?
- Two waves are travelling on a string, in the same direction. Both have a frequency of 101Hz, a wavelength of 0.400m, and an amplitude of 0.410m. What is the amplitude of the resultant wave, if the ori
- The speed of a transverse wave on a string is 450 m/s while the wavelength is 0.18m. The amplitude of the wave is 2 mm. how much time is required for a particle of the string to move through a total
- A 2.00 m long rope is stretched between two supports with a tension that makes the speed of transverse waves 48.0 m/s. (a) What is the wavelength of the fundamental tone? (b) What is the frequency of
- The wave speed on a tightened guitar is 880 m/s. What is the shortest length of string that will produce standing waves of 440-hertz frequency?
- Two waves of the same amplitude and a wavelength of 0.40 m are produced simultaneously on a string of length, l = 1 m. Are these waves standing?
Explore our homework questions and answers library
Browse
by subject