sine wave traveling in the positive x-direction has an amplitude of 15 cm, a wavelength of 40 cm, and a frequency of 8 Hz. The vertical position of an element in the middle at t=0s and x=0 is 15cm. Determine the general wave function for this case.

sine wave traveling in the positive x-direction has an amplitude of 15 cm, a wavelength of 40 cm, and a frequency of 8 Hz. The vertical position of an element in the middle at t=0s and x=0 is 15cm. Determine the general wave function for this case.

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter13: Continuous Systems; Waves

Section: Chapter Questions

Problem 13.18P

See similar textbooks

Related questions

Q: Q2) A (20kg) child sitting in a cart to which a (2m) rope is attached. The rope is tied to a motor…

A: Write the given values with the suitable variables. m=20 kgr=2 mF=100 N Here, m is the mass, r is…

Q: COMBINED SERIES AND PARALLEL CIRCUIT The diagram below shows a circuit with one battery and 10…

Q: Patty is 5 feet and 5 inches tall while Dante is 1.6 meters. How much is the difference between the…

A: Given data: The height of Patty is h=5 ft and 5 in. The height of Dante is H=1.6 m.

Q: The wave functions of two waves * traveling in the same direction are given by:y_1…

Q: Q3) A jet plane is maneuvering in a circular path of a radius of (5.5 km) at a constant speed of…

A: In the given question, the radius of the circular path (r) = 5.5km = 5500m Speed of the jet plane…

Q: A rectangular plate is submerged in water as shown below. The top of blue region is the surface of…

A: In the given question, the length of the plate (L) = 8 unit Breadth of the plate (B) = 6 unit The…

Q: Q3:a) Coherent light with wavelength 400 nm passes through two very narrow slits that are separated…

A: Given:D is Distance between screen from slit=4md is separation between slits=0.2mm or 0.2×10-3mλ is…

Q: Find distance covered Speed=20 km/hr Time=1 hr

A: Distance = Speed x Time

Q: 30. (II) A sealed metal container contains a gas at 20.0°C and 1.00 atm. To what temperature must…

Q: When a gas pressure of 10^-4 torr occupies a volume of 2000 cm^3, the volume was increased to 8000…

Q: A baseball player hit a ball with an initial velocity of 25 m/s at an angle of 25° with the level…

Q: 1. A man cruises his new model Ferrari north 8 mi. and then turns east at 12 mi/hr. At what rate was…

A: given speed v = 12 mi/h time t = 3 hr hence distance travelled in east direction x=v*t=12*3 =36 mi

Q: Potential difference between two points of a wire carrying 22 ampere current is 4 volt. Find the…

A: Given data : Current = I Voltage = V…

Q: 1. Which part(s) of the graph shows that the object is moving at constant positive acceleration? 2.…

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

Q: Q4. Consecutive standing waves occur at frequencies 280 Hz and 315 Hz on a taut string fixed at both…

Q: d+y 8. A wire of 2 mm² cross-sectional area and 1.3 cm long contains 2 x100 electrons. It has a 102…

Q: mm thickness of dielectric material (k=11.1), what is its capacitance? A. 20 pF B. 40 pF C. 60 pF D.…

Q: When an x-ray beam is scattered off the planes of a crystal, the scattered beam creates an…

A: Given: Wavelength of x-ray, λ=0.260 nm Angle, θ=20.5° (A) To determine interplanar spacing for order…

Q: Find work done F=2.1 N Displacement=0.23 m

A: Given : Force (F) = 2.1 N Displacement (d) = 0.23 m

Q: The value of the electric current in copper is 20 ohms in an electrical source, the value of the…

Q: Kis 80° 900 1000 N 100 T = 129.90 TA = ?

Q: An object travels 15 m east and 10 meters north in 12 seconds. What is the average speed of the…

Q: Two wires, each having a weight per unit length of 1.00×10-4 N/m, are parallel with one directly…

A: We need to find the current in the wires, given that the magnetic force and the gravitation force…

Q: Explain the relationship between current, voltage, and resistance in a series circuit. Calculate the…

Q: a. Image Formation in Concave Lens A object I 2F F O L S= T- o. Object is at twice the focal length…

A: Convex lenses Convex lenses are known as converging lenses because the rays converge after falling…

Q: A rubber balloon is filled with 0.018 m³ of helium gas and tied with and tied with a cord to a…

A: Write the given values with the suitable variables. V=0.018 m3ρ=1.29 kg/m3 Here, V is the volume and…

Q: A cylindrical tank contains 0.5 m³ of Gas at temperature 20°C at pressure 2 atm. The tank has a…

Q: Complete introduction in electric field

A: Electric field is the space around the charge in which another charge will experience some…

Q: A steel iron metal rod is joined end to end with a stainless steel rod. It is known that the two…

Q: Which of the following could be a longitudinal wave? a.A water wave b.Electromagnetic waves c.Waves…

A: Longitudinal waves : These are the waves in which movement of particles is parallel to the…

Q: 1 What features make radio waves useful for transmission? O They are not absorbed by the atmosphere…

A: Radio wave is an electro magnetic wave radiation. As the wavelength of radio waves are longer than…

Q: Find the displacement Work done=0.8 J Force=0.4 N

A: Write the given values with the suitable variables. W=0.8 JF=0.4 N Here, W is the work done and F is…

Q: For the next three items, compute the missing values in the table below for the refraction of light…

A: When light travels from one medium to another it bends or will refract. Snell's law will give the…

Q: ACCELERATION You will be given the formula for acceleration: No need to memorize it!! What does…

A: Given, the formula for acceleration: aavg = ΔvΔt = vf - vitf - ti To state what acceleration…

Q: Two sinusoidal waves travel in the same direction with the same amplitude, wavelength, and speed.…

Q: A racing car has a uniform acceleration of 24 m/s². What distance will it cover in 4 seconds after…

A: Given acceleration (a) = 24 m/s2 t = 4s Racing car starts from rest , therefore…

Q: 6. Over a certain region of space, the electric potential function is V = 5x - 3x² y + 2 y z². What…

A: We have a region of space where electric potential is given by the function V=5x-3x2y+2yz2. We need…

Q: Does consciousness collapse the wave function?

A: According to Rodger Penrose's Consciousness is linked to the Objective reduction process- " the…

Q: 1. The angular acceleration of the disk is defined by a = 31² + 10 rad/s, where t is in seconds. If…

A: Givenα=3t2+10 rad/sωo=12 rad/s

Q: Find the displacement value Work done=120 J Force 23 N

A: Workdone = force * displacement W = f*d d = W / f = (120 / 23)= 5.21 meter

Q: A student explains that the behavior of EM radiation is wave-like. Which explanation correctly…

A: Given:- A student explains that the behavior of EM radiation is wave-like. Find:- Which…

Q: A 0.075 frisbee is thrown with an initial speed of 12 m, and an initial height of 1.1 m, when it has…

A: Write the given values with the suitable variables. m=0.075 kgu=12 m/sh=1.1 mv=10.5 m/sH=2.1 m Here,…

Q: Work done=500 J

A: Force can be calculated with the formula Work = F × D × Cosine(θ), where F = force (in newtons), D =…

Q: If an object travels at a constant velocity, what can we say about its acceleration? What is another…

A: If an object travels at a constant velocity, it has zero acceleration. Another Situation: A photon…

Q: Q9. The temperature of a 1 km long copper wire has been increased by 50° C, then its length will be…

Q: All materials change in; length when placed under tension or compression. When a sample of fresh…

A: Option a is correct. All materials change in length, when placed under tension or compression. When…

Q: What is the current (in A) along a circular wire of a radius 4.0 cm when the magnetic field at the…

A: Given: The radius of the circular wire: R = 4.0 cm (0.04 m). The magnetic field at the center: B =…

Q: 9. A toaster is rated at 550 W when connected to a 220 V source. What current does the toaster…

A: 9-Given: Power, P=550 W Voltage, V=220 V To determine current.

Q: Maria is at the top of a cliff and sees a seal in the water. If the cliff is 40feet above the water…

Q: A force of 3.0 pounds is needed to stretch the spring to 1.0 ft. from its natural length of 10…

Concept explainers

Equation of Waves

Wave is an oscillation or disturbance traveling in a medium. It performs the transportation of energy but does not carry any matter. This motion of waves will transport fuel in a medium without permanent transfer of mass (particle).

Question

A sine wave traveling in the positive x-direction has an amplitude of 15 cm, a wavelength of 40 cm, and a frequency of 8 Hz. The vertical position of an element in the middle at t=0s and x=0 is 15cm. Determine the general wave function for this case.

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

Follow-up Questions

Read through expert solutions to related follow-up questions below.

Follow-up Question

in centimeters is yx,t= 15cos(5πx - 16πt) cm ?

Solution

by Bartleby Expert

SEE SOLUTION

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 uniform plane wave has the generic expression Φ(z,t) = A cos(ωt – kz + δ) with the following given parameter values: wave amplitude = 10, wave frequency in Hz f = 500 Hz, phase velocity vph = 10 m/s, and the phase angle δ = 60o. Find the values of the parameters A, ω, and k. ..
I have a sine wave v(t)=10sin(2000πt). I need help finding the frequency of this funtion in rad/s. I also need the waveform.
A simple harmonic progressive wave of amplitude 2 mm and frequency 500 Hz travels with a velocity of 350 m/s in given medium. Write down the equation of the wave in S.I. units.
A sine wave traveling in the positive x-direction has an amplitude of 15 cm, a wavelength of 40 cm, and a frequency of 8 Hz. The vertical position of an element in the middle at t=0s and x=0 is 15cm. Determine the wave number.
The wave y (x,t) = Asin (kx − wt + (lambda sign)) has an amplitude of 0.245 cm and a period of 85.2 ms. What is the maximum particle velocity? Answer in m / s.
When n=1.5, k=0.1 and v=1014 Hz. Find (a) the wavelength inside the material and (b) the propagation distance over which the amplitude of the wave diminishes by the factor e-1
Problem 4: A traveling wave along the x-axis is given by the following wave functionψ(x, t) = 3.6 cos(1.4x - 9.2t + 0.34),where x in meter, t in seconds, and ψ in meters. Read off the appropriate quantities for this wave function and find the following characteristics of this plane wave: Part (a) The amplitude in meters. Part (b) The frequency, in hertz. Part (c) The wavelength in meters. Part (d) The wave speed, in meters per second. Part (e) The phase constant in radians.
dx /what is the energy for the particle described by the wave function(x) = A exp(±ikx) (p₁) And wave along the interval (0 ≤x≤ a)
Write the real and complex expression for a plane wave E2 propagating at an angle of 60° with respect to the z axis on the xz plane. The wavelength of is 1550 nm, and the speed is c = c/1.45.
In SI units a wave is represented by x = {A} cos (7.56t) . What is the time required (in s) for a single wavelength to pass a fixed point by this wave (or in other words, the period T)?
y(x, 1) = (6.50 mm)cos 27 28.0 cm 0.0360 s 1. Based on the wave function above, determine the following quantities: (a) amplitude, (b) wavelength, (c) frequency, and (d) the direction of the wave's propagation. Make sure to convert the final answers in their standard units. ANSWERS:
Four wave functions are given below Rank them in order of the magnitude of the period, from least to greatest I.y(x,t) = (0.1m)cos (+4t+ Il y(x,t) = (0.1m)cos n 2x + 4t + III. y(x,t) = (0.1m)cos X+ 4t + IV.y(x,t) = (0.1m)cos (2x + 4t + 6) OAIV,- O B. IV.I, I-I OC ILIV O D. IHIV O E. IV, I, I OF. None of these P Type here to search 19°C 立 1/21/2 EN E EIN E