A steel cable with total length 83 m and mass 140 kg is connected to two poles. The tension in the cable is 1,859 N, and the wind makes the cable vibrate with a frequency of 2 Hz. Calculate the wavelength of the resulting wave on the cable. ____ m?

A steel cable with total length 83 m and mass 140 kg is connected to two poles. The tension in the cable is 1,859 N, and the wind makes the cable vibrate with a frequency of 2 Hz. Calculate the wavelength of the resulting wave on the cable. ____ m?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter13: Mechanical Waves

Section: Chapter Questions

Problem 24P: A taut rope has a mass of 0.180 kg and a length of 3.60 m. What power must be supplied to the rope...

See similar textbooks

Related questions

Q: A standing wave is oscillating at 690 Hz on a string, as shown in the figure. What is the speed of…

A: Given data: Frequency of oscillating wave is, f=690 Hz. Length of string is, L=60 cm=0.6 m.

Q: The vertical position, y, of any point on a rope that supports a transverse wave travelling…

Q: A traveling wave train has wavelength 0.50 m, speed 20 m/s. Find the wave frequency. A 10 Hz B 20 Hz…

A: Given, wavelength of the traveling wave, λ = 0.50 m wave speed, v = 20 ms

Q: A steel cable with total length 59 m and mass 120 kg is connected to two poles. The tension in the…

Q: A standing wave is created on a string that is fixed on both ends and is 1.5 m long. What is the…

A: Given : L = 1.5 m

Q: guitar string has a mass of 0.14 kg and a length of 0.90 m. If this string is tightened to a…

A: Given that The mass of the string (m) = 0.14kg And the length of the…

Q: A wave having an amplitude of 3.1 meters constructively interferes with a wave having an amplitude…

Q: A wave is described by y = 0.021 0 sin(kx - cwt), where k = 2.10 rad/m, w = 3.58 rad/s, x and y are…

Q: The distance between the second and sixth crest on a wave is 75 cm, and the wave travels a distance…

A: Given data: Distance between second and sixth crest = 75 cm = 0.75 m Distance traveled (s) = 25 cm…

Q: A steel wire has a length of 12 m and a mass of 2.10 kg. What will be the speed of a transverse wave…

A: Given data :- length of the wire L = 12 m mass of wire M = 2.10 kg tension applied T = 1.125 × 106 N

Q: A sinusoidal wave is described by the wave function, y = (0.36 m) sin(0.10x − 47t) where x and y…

A: The general equation for describing a wave is given by: y=Asinkx-ωt.......(1)where, A is amplitudeK…

Q: A string 2.5 m long (weighing 2 N) is hanging from the ceiling. You attach a mass 10 kg to the lower…

A: Find the speed of the transverse wave. v=Fμ=FmL=2102.5=0.707 m/s

Q: 29

A: A mechanical wave requires medium for its propagation.

Q: When a wave reaches the boundary of a new medium, part of the wave can be reflected and part of the…

Q: A sinusoidal wave traveling in the positive x direction has an amplitude of 30.0 cm, a wavelength of…

Q: 2. A travelling sinusoidal wave has this equation: y(z.1) = 0.0450 m sin(25.12 m-!x – 37.685-4 –…

A: A sinusoidal wave is expressed as, y=Asinωt-kx+ϕ Where, A is the amplitude ω is the angular…

Q: The sinusoidal wave shown in the figure below is traveling in the positive x-direction and has a…

A: Given data: A sinusoidal wave Frequency (f) = 43.1 Hz Height between crest and trough = 8.26 cm…

Q: The pressure in a traveling sound wave is given by the equation ΔP = (1.62 Pa) sin [π (0.714 m-1)x -…

Q: A sinusoidal wave traveling on a string has a period of 0.20 s, a wavelength of 32 cm, and an…

A: Given data The time is, T= 0.20 s The wavelength is, λ=32 cm The amplitude is, a= 3 cm Step 1 The…

Q: A steel cable with a total length of 45 m and mass of 135 kg is connected to two poles. The tension…

Q: A traveling wave is described by the equation (x,t)=1.2cm sin[2pi(x/2.7 + t/0.3)] where x is in…

A: the equation for the wave is,

Q: John ties a 15-m-long, 4 kg rope to a wall and stretches it out horizontally, placing it under a…

A: The string's tension is, T=4000 N The linear mass density of the rope is, μ=mL=4 kg15 m=0.267 kg/m

Q: The tension in a string with a linear mass density of 0.0010 kg/m is 0.40 N. A sinusoidal wave with…

A: We are allowed to give the explanation of first question only which is given below. Please repost…

Q: A steel cable with total length 67 m and mass 150 kg is connected to two poles. The tension in the…

Q: The vertical position, y, of any point on a rope that supports a transverse horizontally is given by…

A: Given,

Q: A particular sound wave has a frequency of 1460 Hz. How much time passes while one wave is made? O…

A: Time period is given by T=1f where f is the frequency. Here f= 1460 Hz Therefore time period will…

Q: A steel cable with total length 44 m and mass 120 kg is connected to two poles. The tension in the…

A: Length of the cable, L = 44 m Mass of the cable, m = 120 kg Tension in the cable is T = 3303 N…

Q: A sound wave has a period of 0.004 seconds. Which of the following best represents the frequency of…

A: Given: Period, T = 0.004 seconds

Q: The wavelength of a traveling wave can be calculated if one knows the: A. frequency and speed. B.…

A: Formula used to find wavelength can be written as, Wavelength = Speedfrequency i.e,…

Q: ngth 64 m and mass 150 kg is connected to two poles. The tension in the cable is 2,370 N, and the…

A: Given data The mass of the steel cable m = 150 kg The length of the steel cable L= 64 m The…

Q: What is the frequency of a sound wave with a wavelength of 5.0 m if its speed is 330 m/s? Select…

A: Given data: Wavelength (λ) = 5.0 m Speed (v) = 330 m/s Required: Frequency (f)

Q: A travelling wave is represented by the function: y(x, t) = 0. 009 m sin (1.2 m-1x – 5.0s-!t) Find…

Q: A moving wave is described by y = (0.01m)sin(3t + 10x), with x in meters and t in seconds. Determine…

Q: A wave having an amplitude of 3.1 meters constructively interferes with a wave having an amplitude…

A: Amplitude of final wave is 2m

Q: A string that has a mass per unit length of 0.003 kg/m is under a tension of 2.00 N. What would be…

A: The speed of a wave depends on the characteristics of the medium.In the case pf stretched string or…

Q: The distance between two successive minima of a transverse wave is 2.40 m. Five full crest intervals…

Q: steel cable with total length 20 m and mass 120 kg is connected to two poles. The tension in the…

Q: ravels at a speed of 6 m/s with a w

A: The water wave travels at a speed of v = 6 m/s The wavelength of λ= 200 cm = 2.0 m Find:- The…

Q: As a sound wave propagates further over time, which of the following would be true? a. the…

Q: A string with a mass per unit length of 0.500g/cm has waves traveling on it which can be described…

Q: Transverse waves on a string have wave speed of 8.00 m/s, amplitude of 0.0700 m, and wavelength of…

A: Given: v = 8 m/s A = 0.0700m λ = 0.320m f = ?

Q: Which statement about waves is false? In a transverse wave, particles move in the same direction…

A: In transverse wave the particle move perpendicular to the direction of energy transport. Waves…

Q: A fisherman notices that his boat is moving up and down in a periodic way because of waves on the…

Q: A string of linear density, 2.0 g/m, is stretched to a tension of 4.9 N. If the tension is increased…

A: Given data: Linear mass density (μ) = 2.0 g/m Original tension (T) = 4.9 N New speed of wave (v') =…

Q: The average wavelength in a series of ocean waves is 15.0 m. A wave arrives every 10s, so the…

Q: The sinusoidal wave shown in the figure below is traveling in the positive x-direction and has a…

Q: By increasing one of these 9 times, the speed of the transverse wave on a wire will triple. Which…

Question

100%

____ m?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

A string with a linear mass density of 0.0062 kg/m and a length of 3.00 m is set into the n=4 mode of resonance. The tension in the string is 20.00 N. What is the wavelength and frequency of the wave?
A sound wave in air has a pressure amplitude equal to 4.00 103 Pa. Calculate the displacement amplitude of the wave at a frequency of 10.0 kHz.
Identify each of the following waves as either transverse or longitudinal: (a) The waves on a plucked guitar string. (b) The sound waves produced by a vibrating guitar string. (c) The waves on a spring with its end pumped back and forth along the springs length.
A taut rope has a mass of 0.180 kg and a length of 3.60 m. What power must be supplied to the rope so as to generate sinusoidal waves having an amplitude of 0.100 m and a wavelength of 0.500 m and traveling with a speed of 30.0 m/s?
Identify each of the following waves as either transverse or longitudinal: (a) The waves on a plucked guitar string. (b) The sound waves produced by a vibrating guitar string. (c) The waves on a spring with its end pumped back and forth along the springs length.
A cable with a linear density of =0.2 kg/m is hung from telephone poles. The tension in the cable is 500.00 N. The distance between poles is 20 meters. The wind blows across the line, causing the cable resonate. A standing waves pattern is produced that has 4.5 wavelengths between the two poles. The air temperature is T=20C . What are the frequency and wavelength of the hum?
A wave with particle oscillation parallel to the direction of propagation is a(n) _____ . (6.2) (a) transverse wave (b) longitudinal wave (c) light wave (d) none of the preceding
A sound wave traveling in air has a pressure amplitude of 0.5 Pa. What is the intensity of the wave?
The distance between two successive minima of a transverse wave is 2.76 m. Five crests of the wave pass a given point along the direction of travel every 14.0 s. Find (a) the frequency of the wave and (b) the wave speed.
A sound wave can be characterized as (a) a transverse wave, (b) a longitudinal wave, (c) a transverse wave or a longitudinal wave, depending on the nature of its source, (d) one that carries no energy, or (e) a wave that does not require a medium to be transmitted from one place to the other.
When a standing wave is set up on a string fixed at both ends, which of the following statements is true? (a) The number of nodes is equal to the number of antinodes. (b) The wavelength is equal to the length of the string divided by an integer. (c) The frequency is equal to the number of nodes times the fundamental frequency. (d) The shape of the string at any instant shows a symmetry about the midpoint of the string.
On a particular day the speed of sound in air is 340 m/s. If a plane flies at a speed of 680 m/s, is its Mach number (a) 1.5, (b) 2.0, (c) 2.5, or (d) 2.7?