A steel wire is 5.00 m long and is stretched with a tension of 1400 N . The speed of propagation of a transverse wave on the wire is 800 m/s. a)What is the mass per unit length of the wire, μ? b)What is the mass of the wire

A steel wire is 5.00 m long and is stretched with a tension of 1400 N . The speed of propagation of a transverse wave on the wire is 800 m/s. a)What is the mass per unit length of the wire, μ? b)What is the mass of the wire

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 15P: A steel wire of length 30.0 m and a copper wire of length 20.0 m, both with 1.00-mm diameters, are...

See similar textbooks

Related questions

Q: The equation of a transverse wave on a string is y = (6.8 mm) sin[(20 m-1)x + (830 s-1)t] The…

Q: A harpsichord string has a length of 0.5 m and a mass of 0.02 kg. a) What is the linear density of…

Q: ) A long piece of piano wire of radius 0.5 mm is made of steel of density 7.8 X 103 kg/m3. The wire…

Q: The equation of a transverse wave on a string is y = (5.8 mm) sin[(27 m1)x + (460 s-1)t] The tension…

Q: The equation of a transverse wave on a string is y = (4.5 mm) sin[(21 m1)x + (660s1)t] The tension…

Q: The equation of a transverse wave on a string is y = (4.9 mm) sin[(17 m1)x+ (650 s 1)t] The tension…

A: Given: y= 4.9 sin 17x + 650t T= 18NTo Find: a Wave speed b Linear density of the…

Q: A transverse periodic wave on a string with a linear density of 0.26 kg/m is described by the…

A: Given that the transverse periodic wave equation and linear density of the string.Then We have to…

Q: A transverse traveling wave on a taut wire has an amplitude of 0.200 mm and a frequency of 410 Hz.…

A: Given:- The amplitude of wave on wire =0.200 mm= 0.2×10-3 m Frequency =410 Hz Speed of wave = 196…

Q: What are (a) the lowest frequency, (b) the second lowest frequency, and (c) the third lowest…

Q: The equation of a transverse wave on a string is y = (5.5 mm) sin[(24 m1)x+ (290 s1)t] The tension…

Q: he equation of a transverse wave on a string is = ( 3.7 mm) sin[( 25 m²1)x + ( 530 s´1)t] he tension…

A: given tension T = 46 N

Q: A string with a linear mass density of μ = 0.0085 kg/m is fixed at both ends. A 5.0-kg mass is hung…

Q: A sinusoidal wave travels along a string under tension. The figure shows the slopes along the string…

A: Amplitude is distance between center line to the top of crest or bottom of trough.

Q: A 30.0-m steel wire and a 20.0-m copper wire, both with 1.00-mm diameters, are connected end to end…

A: Given data The length of the steel wire is given as ls = 30 m. The length of the copper wire is…

Q: The Viking god of rock, Val Halen, has a guitar string with a linear mass density of 3.20x10-3 kg/m…

A: Linear mass density (m') = 0.0032 kgmLength (L) = 0.648 m n = 5 f5 = 725 Hz

Q: Ex : A string of Nylon (PN = 1.15 10° kg/m') has a length L and cross sectional area is (1 10 5 m2)…

A: Given, Tension, Cross sectional area, Density,

Q: An n = 4 standing wave is generated on a string having a linear mass density of 0.062 kg/m and a…

A: frequency is given by the formula ν=n2LFμL is lengthF is tensionμ is mass densityn is order putting…

Q: he equation of a transverse wave on a string is = (6.1 mm) sin[(19 m²1)x + (460 s 1)t] he tension in…

Q: A steel cable with a total length of 34 m and mass of 142 kg is connected to two poles. The tension…

Q: An Ethernet cable is 3.80 m long. The cable has a mass of 0.205 kg. A transverse pulse is produced…

A: Given Data:- Length of the cable is L=3.80 m Mass of the cable is m=0.205 kg Total time t=0.835 s…

Q: The equation of a transverse wave on a string is y = (2.8 mm) sin[(20 m 1)x + (320 s1)t] The tension…

Q: A particular guitar string is 62 cm long, has a mass of 2.4 g, and has a tension of 520 N. Suppose…

A: Given Length L = 62 cm = 0.62 m Mass m = 2.4 g = 2.4 × 10-3 kg Tension T = 520 N

Q: The wave function of a harmonic wave in a string is given by the function y(x,t)= (28.8 cm)*…

A: The given wave function is, y(x,t)= (28.8 cm)* sin(33.5x-38.6t) the general wave function is given…

Q: A piano string has a length of 2 m and a mass of 0.06 kg. a) What is the linear density of the…

Q: The equation of a transverse wave on a string is y= (6.1 mm) sin[(18 m*4)x + (480 s*t)t] The tension…

Q: Transverse waves are traveling on a long string that is under a tension of 9.00 NN. The equation…

A: Given : Tension in the wire, T = 9 N Equation of a wave is…

Q: he wave function for a traveling wave on a taut string is (in SI units) Y(x,t) = 0.390 sin ( 15nt…

Q: A sinusoidal transverse wave traveling in the positive direction of an x axis has an amplitude of…

A: Since it is a multiple sub part question, only first three sub parts will be answered.

Q: A wire is 5.00m long and is held in place at both ends. The wire is stretched to a tension of 200N .…

Q: A string has a linear density of 8.3 x 10 kg/m and is under a tension of 320 N. The string is 1.7 m…

Q: A steel wire is 2.70 mm long and is stretched with a tension of 1200 N . The speed of propagation of…

A: ...

Q: Tension is maintained in a string as in the figure below. The observed wave speed is v20.0 m/s when…

A: given :- m=3kg v=20m/s

Q: A wave on a string has equation y(x,t) = (6.6 mm) sin (ot- kx) where o 3.2×10² rad/s and k = 2.7…

Q: The linear mass density of a copper, 36.0cm long cable is 0.00750kg/m. The wire is fastened at each…

A: Given, linear mass density of a copper (µ)= 0.00750kg/m Length of copper wire (L) = 36cm= 0.36 m…

Q: A string of mass 9 grams is stretched to a length of 0.4 meters and fastened at both end so that it…

A: Mass of the string (m)=9 g Length of the string (L)=0.4 m Tension in the string (T)=2000 N

Q: A string of mass 8 grams is stretched to a length of 0.3 meters and fastened at both end so that it…

A: Linear density = mass/length = 0.008/0.3 = 0.0267 kg/m…

Q: a

A: Given: The density of the rope = 7.5 g/cm3 cross sectional area = 2 cm2 Tension = 100 N Frequency =…

Q: Tension is maintained in the string as shown in the figure. The observed transverse wave speed in…

A: Mass attached M = 3.00 kg Speed of wave v = 24.0 m/s We need to find 1. Mass per unit length 2.…

Q: A 4.50 m long rope is stretched between two supports with a tension that makes the speed of…

A: Given data: Length of string (L) = 4.50 m Speed of the wave (v) = 48.0 m/s

Q: VP15.8.3 A cable is stretched between two posts 3.00 m apart. The speed of waves on this cable is…

A: Given data as per question Length of cable =3 mspeed of wave in cable =96 msTension in the cable…

Q: A string with a linear density of 9 kg/m is stretched to a length of 1.8 meters and fastened at both…

A: The tension in the string is, T=1100 N The linear density of the string is, σ=9 kg/m

Q: The equation of a transverse wave on a string is y = (6.6 mm) sin[(19 m ¹)x+ (150 s ¹)t] The tension…

Q: The equation of a transverse wave on a string is y = (6.2 mm) sin[(16 m1)x + (640 s-4)t] The tension…

Q: A guitar string of length L = 0.71 m is oriented along the x-direction and under a tension of T = 92…

A: Write the equation for velocity

Concept explainers

Stretched string

A stretched string is a wire which is made up of any metal that must have a larger length compared to its thickness. The ends of the wire are fixed, and when they oscillate or are plucked, it produces two reflected transverse waves of the same frequency and same amplitude. The waves or pulses are traveling in alternate directions and superimpose with one another. This waveform is named standing or stationary waves.

Question

A steel wire is 5.00 m long and is stretched with a tension of 1400 N . The speed of propagation of a transverse wave on the wire is 800 m/s.

a)What is the mass per unit length of the wire, μ?

b)What is the mass of the wire?

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

A steel wire of length 30.0 m and a copper wire of length 20.0 m, both with 1.00-mm diameters, are connected end to end and stretched to a tension of 150 N. During what time interval will a transverse wave travel the entire length of the two wires?
At t = 0, a transverse pulse in a wire is described by the function y=6.00x2+3.00 where xand y are in meters. If the pulse is traveling in the positive x direction with a speed of 4.50 m/s, write the function y(x, t) that describes this pulse.
A transverse wave on a string is described by the wave function y=0.120sin(8x+4t) where x and y are in meters and t is in seconds. Determine (a) the transverse speed and (b) the transverse acceleration at t = 0.200 s for an element of the string located at x = 1.60 m. What are (c) the wavelength, (d) the period, and (e) the speed of propagation of this wave?
Two traveling sinusoidal waves are described by the wave functions y1 = 5.00 sin [(4.00x 1 200t)] y2 = 5.00 sin [(4.00x 1 200t 0.250)] where x, y1 and y2 are in meters and t is in seconds. (a) What is the amplitude of the resultant wave function y1 + y2? (b) What is the frequency of the resultant wave function?
The speed of a transverse wave on a string is 300.00 m/s, its wavelength is 0.50 m, and the amplitude is 20.00 cm. How much time is required for a particle on the string to move through a distance of 5.00 km?
A string on the violin has a length of 24.00 cm and a mass of 0.860 g. The fundamental frequency of the string is 1.00 kHz. (a) What is the speed of the wave on the string? (b) What is the tension in the string?
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 sinusoidal wave travels down a taut, horizontal string with a linear mass density of =0.060 kg/m. The magnitude of maximum vertical acceleration of the wave is aymax=0.90 cm/s2 and the amplitude of the wave is 0.40 m. The string is under a tension of FT=600.00 N. The wave moves in the negative x-direction. Write an equation to model the wave.
Consider a diagnostic ultrasound of frequency 5.00 MHz that is used to examine an irregularity in soft tissue. (a) What is the wavelength in air of such a sound wave if the speed of sound is 343 m/s? (b) If the speed of sound in tissue is 1800 m/s, what is the wavelength of this wave in tissue?
A standing wave on a string is described by the equation y(x, t) = 1.25 sin(0.0350x) cos(1450t), where x is in centimeters, t is in seconds, and the resulting amplitude is in millimeters. a. What is the length of the string if this standing wave represents the first harmonic vibration of the string? b. What is the speed of the wave on this string?
A transverse sinusoidal wave on a string has a period T = 25.0 ms and travels in the negative x direction with a speed of 30.0 m/s. At t = 0, an element of the string at x = 0 has a transverse position of 2.00 cm and is traveling downward with a speed of 2.00 m/s. (a) What is the amplitude of the wave? (b) What is the initial phase angle? (c) What is the maximum transverse speed of an element of the string? (d) Write the wave function for the wave.
A string on the violin has a length of 23.00 cm and a mass of 0.900 grams. The tension in the string 850.00 N. The temperature in the room is TC=24.00C . The string is plucked and oscillates in the n=9 mode. (a) What is the speed of the wave on the string? (b) What is the wavelength of the sounding wave produced? (c) What is the frequency of the oscillating string? (d) What is the frequency of the sound produced? (e) What is the wavelength of the sound produced?