1. A sinusoidal wave on a string is traveling in the -x-direction (to the left), it has an amplitude of 20 cm, a wavelength of 35 cm, and a frequency of 12 Hz. The transverse position of an element of the medium at t=0, x-0 has maximum displacement ofy%320 cm and is moving downward. (a) Find the wave number, period, angular frequency and the wave speed. (b) Write the wave function y(x) describing the wave. (c) Calculate the maximum transverse velocity of the particle at x = 0 end of the string.

1. A sinusoidal wave on a string is traveling in the -x-direction (to the left), it has an amplitude of 20 cm, a wavelength of 35 cm, and a frequency of 12 Hz. The transverse position of an element of the medium at t=0, x-0 has maximum displacement ofy%320 cm and is moving downward. (a) Find the wave number, period, angular frequency and the wave speed. (b) Write the wave function y(x) describing the wave. (c) Calculate the maximum transverse velocity of the particle at x = 0 end of the string.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: 3. Atransverse wave is propagating along a string toward the left (-x direction). The figure shows a…

A: Note :- : Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the…

Q: For a particular transverse wave that travels along a string that lies on the x-axis, the equation…

A: As per our company guideline we are supposed to answer only first three sub-part kindly repost other…

Q: What is the work function, W , of the metal surface? If this photocathode is illuminated by light…

Q: An electron beam is accelerated by a fixed voltage of V = 6,500.V (V= 6.50 kV). The resolution that…

A: The de Broglie wavelength of the electron is λ = 12.27VAo where, V is the potential. The energy of…

Q: Problem 1 Let y1 = Asin(kax – wt + a) and y2 = B sin(kr – wt + B) be the equa- tions representing…

Q: A 2.0 m long wire was drawn so that it had a tension of 250 N this wire was disturbed by its center…

A: Given that, The length of a wire, l = 2 m The tension produced in the wire, T = 250 N The mass of…

Q: Observers in the Earth frame observe two flashes of light, flash A at t, =0 , x, =0 and %3D -6 flash…

A: As per our policy, we can answer the first three. Kindly resubmit your question for the fourth one.

Q: 1. The equation of a certain wave on a string is given by y(x,t) = 0.1 sin{2r(x- 10t)} %3D with x…

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: 2. The wave function for a traveling wave on a taut string is (in SI units): y(x,t) = (0.350 m) cos…

A: Given data: The given wave function for the wave on a taut string is, yx,t=0.350 mcos10πt-3πx-π2…

Q: A sinusoidal wave traveling has an amplitude of A=15 cm, a wavelength of =38 cm, and a frequency of…

A: The general expression for a sinusoidal wave travelling along +x direction is given by…

Q: A traveling wave on a long strong is described by the time-dependent wave function f(x, t) = a…

A: To find a wave that needs to be added to the original wave. Given:The wave function is:…

Q: Two waves are generated on a string of length 4.8 m to produce a three-loop standing wave with an…

A: Part A. Standing waves are formed when two waves of same amplitude and wavelength moving in opposite…

Q: Two progressive waves yi A sin (x – ot) and y2 A sin(x - x – wt – ) travel in the same direction.…

Q: The displacement of a wave on a vibrating string is given by ye) = (0.050) sin 2 (+) where the wave…

A: The is based upon the displacement of a wave on a vibrating string. The equation is given as follows…

Q: Assume that your eye acts as a diffraction limited telescope with a round primary aperture of…

A: The distance up to which two small objects can be properly resolved by a telescope is termed as the…

Q: 3. A wave travels along the x-axis in the direction of decreasing x along a cable having a linear…

Q: 2. A very narrow slit of width = 2.50µm is illuminated with light of wavelength 1 = 540.0 nm and a…

A: Subpart (a): When a light of particular wavelength is incident on a slit having opening of the order…

Q: A sinusoidal transverse wave is traveling along a string in the negative direction of the x-axis.…

Q: B sin(kx – wt + B) be the equa- tions representing two traveling transverse wave. Here A and B are…

A: As y1=Asin(kx-wt+alpha) y2=Bsin(kx-wt+beta) We can use principle of superposition of two waves.

Q: A transverse wave with an amplitude of 0.200 mm and a frequency of 600 Hz moves along a tightly…

Concept explainers

Interference of sound

Seiche

A seiche is an oscillating standing wave in a body of water. The term seiche pronounced saysh) can be understood by the sloshing of water back and forth in a swimming pool. The same phenomenon happens on a much larger scale in vast bodies of water including bays and lakes. A seizure can happen in any enclosed or semi-enclosed body of water.

Question

1. A sinusoidal wave on a string is traveling in the -x-direction
(to the left), it has an amplitude of 20 cm, a wavelength of 35
cm, and a frequency of 12 Hz. The transverse position of an
element of the medium at t=0, x=0 has maximum
displacement ofy=20 cm and is moving downward.
(a) Find the wave number, period, angular frequency and the wave speed.
(b) Write the wave function y(x) describing the wave.
(c) Calculate the maximum transverse velocity of the particle at x = 0 end of the string.
(d) Find the transverse acceleration of the particle at x- 10cm and t=0.5 s.
(e) If the tension of the string is 35 N. What is the linear mass density of the string?

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 - Analyzing the Question

VIEW

Step 2 - Solving the Question

VIEW

Trending now

This is a popular solution!

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

Consider a 1 meter-long string with a mass of 50 g attached to a string vibrator. The tension in the string is 80 N. When the string vibrator is turned on, it oscillates with a frequency of 64 Hz and produces a sinusoidal wave on the string with an amplitude of 4 cm and a constant wave speed. Give your answers to 3 sig fig. A)VWhat is the linear density of the medium?____kg/m B)What is the wave speed?____m/s C)What is the angular frequency?______Hz D) What is the time-averaged power supplied to the wave by the string vibrator?___W
Given y=0.3cos(10t-4x), find the frequency, wavelength, wave velocity, direction of propagation, and the displacement at t=0, x=0. Please include all calculations and units.
a° y(z,t) 1 d*y(x,t) Which of the following wave functions satisfies the wave equation? A.) y(x, t) = A cos(kæ + wt) B.) y(x, t) = A sin(kx +wt) C.) y(x, t) = A[cos(kæ) + cos(wt)] For any of the equations above that satisfy the wave equation what are the transverse velocity and acceleration of a particle at point x?
The speed of a transverse wave is 250.00m/s, its wavelength is 0.80m, and the amplitude is 23.00 cm. How much time(in s) is required for a particle on the string to move through a distance of 5.00km?
QUESTION 5 A transverse wave completes 12 full oscillations in two seconds. The wave moves at 31.2 m/s. Find the distance between two adjacent crests on the wave (in m). QUESTION 6 The linear density of a guitar string is 8.0 x 104 kg/m. A wave on the string has a frequency of 400 Hz and a wavelength of 60 cm. What is the tension in the string? QUESTION 7 The mathematical expression of a wave is given by y = 4.2 m Sin ( 1.2 rad/m x – 9.6 rad/s t). What is the speed of the wave (in m/s)? QUESTION 8 What is the sound intensity (in µW/m2) at 1.86 m from a 4 mW loudspeaker emitting sound uniformly in all directions?
Two vectors A and B in two dimensions are given by A = 2i + 3j and B = - i + 4 Find the magnitudes of A and B, the scalar (or dot) product of A and B and the angle between A and B. (Hint: For the last part, the scalar product of two vectors can be expressed in terms of components and also in terms of the angle between the vectors. i and j are unit vectors along x- and y- directions.) a.) |A| = 6, |B| = 4.1, A.B = 10, θ = 47.40. b.) |A| = 2.2, |B| = 1.7, A.B = 3.2, θ = 31.20.