wave is described by the following equation y (x,t) = 3 sin (36t + 0.018x + �4 ). What is your understanding of this wave? (Like, in which direction it moves, its velocity, wavelength, frequency, amplitude etc…)

wave is described by the following equation y (x,t) = 3 sin (36t + 0.018x + �4 ). What is your understanding of this wave? (Like, in which direction it moves, its velocity, wavelength, frequency, amplitude etc…)

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 8P

See similar textbooks

Related questions

Q: A certain transverse wave is described by y(x,t)= B cos( 2 pi [(x/L)-(t/T] ) where B=6.50mm,…

Q: Two waves travelling in the same direction are described by the wave functions: y1 (x,t) = 0.03…

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: Part (d) The wave speed, in meters per second. Numeric : A numeric value is expected and not an…

Q: A traveling wave is described by the equaion that follows. D(x,t) = 99.5sin(0.96x-44t), where x is…

A: given D(x,t) = 99.5sin(0.96x-44t)

Q: f. position of the particle when x = 10 cm and t = 0.12 s. g. velocity of the particle when x = 10…

Q: A transverse wave on a string is described by the nave tunction 4= 9= .120 sin (Ix +4Tt) where x and…

Q: Ex. 39 The equation of a wave can be represented by Y=0.04 sin (320 t-x) where 0.08 x and y are in…

A: To find-(1) Amplitude (a)=?(2) Frequency (n)=?(3) Wavelength (V)=?Given-The equation of wave…

Q: y(x, 1) (6.50 mm) cos 2 28.0 cm 0.0360 s 1. Based on the wave function above, determine the…

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

Q: Two identical waves travel in the same direction, each with a wavelength A = 2 m and speed v = 20…

A: Wavelength of each wave λ=2 m Speed of each wave v=20 m/s

Q: A wave is given by y=asin(kx-wt) where w=18rad/s and wavelength=2πm. Determine the speed of a…

Q: What is the expression for wave speed in the given equation: y = Asin(kx-wt + π)? a) dy/dt b) w/k…

A: The given equation is- y=Asin(kx-wt+π) ....(1) We have to find wave speed v=? This type of equation…

Q: Wave Equation: y(x.t)=A sin (k x-W I +¢) Try this: The equation for a wave is given by y (x, t) =…

A: Solution: The given wave equation is, yx,t=2sin3x-4t+ϕ The standard wave equation is given by the…

Q: Question 9: What is the angular frequency (m) of a travelling wave whose phase Value Unit velocity…

A: Given data,

Q: A wave whose speed in a snakey is 4.4 m/s enters a second snakey. The wavelength changes from 2.0 m…

Q: 5TT 9T -1t+ find the frequency of wave? -1 Consider a wave described by the wave function y…

Q: 5. The description of a certain wave is given by the equation x t y(x, t) = (6.00 mm) cos (21 × (21…

Q: A wave is represented by y=(3.00m)sin(2.5t - 3.14x). Find the (a) amplitude, (b) angular velocity,…

A: y = 3 sin2.5 t - 3.14 x compare with the standard equation y =A sinw t -k x (a) Amplitude, A = 3 m…

Q: The velocity of a wave depends on the medium through which it is travelling. In a SLE123 assignment,…

Q: A sinusoidal wave is described by the wave function y(x,t) = 0.04 sin(4x - 100μt + п/6), where x and…

A: The given wave is described by the equation y(x,t)=0.04sin4πx-100πt+π6 A standard sinusoidal wave is…

Q: If you two waves Y1 = 5 sin (4x - 2t) and Y2 = 5 sin (4x - 2t + a/3) move in the opposite direction…

A: The two sinusoidal waves are moving opposite to each other. As they superimpose on each other, they…

Q: Consider the waveform expression. y(x, t) = ymsin (3.38 + 0.163x + 207t) The transverse displacement…

A: Given:- y(x, t) = Ymsin (3.38 + 0.163x + 207t)The transverse displacement (y) of a wave is given as…

Q: A traveling wave is described by the equation below: y(x,t) = 5.6 sin(5.12t - 5.28x) All numbers are…

A: The equation of the traveling wave: y(x, t) =5.6 sin(5.12t - 5.28x)

Q: A wave of the form: y(x,t)= (0.035 m) cos[(160 s-1)t +(5 m-1) x] travels dowm a string with a…

A: The wave can be represented as

Q: A wave on a string is described by D(x,t)=(2.0cm)×sin[2π(x/(7.2m)+t/(0.12s)+1)], where x is in m and…

A: The waves are called transverse waves if their propagation direction is perpendicular to the…

Q: Two waves traveling in the same direction; both have a frequency of 100 Hz, a wavelength of 2 cm and…

A: Scenario - Two waves, having similar frequencies interfere and in turn gives new resultant wave of…

Q: You are given the wave y(z,t)= -5cos(3x+2t) where all quantities are in SI. This wave propagates to…

Q: Consider a wave described by the wave function y (x,f)=D0.85m sin (- -1 m. 5T st+), find the -1 4…

A: Required : Frequency of the wave.

Q: The equation of a transverse wave on a stretched wire is y = 2 sin 2 ( 0,01 30 where x and y are in…

A: Wave propagation refers to any of the methods by which waves travel. We can distinguish…

Q: A wave has the following form: f(x,t) = (120 cm) sin (30x+50t-1.5) a : What is the maximum speed…

Q: A sinusoidal wave traveling in the positive x direction has a wavelength of 0.5m , an amplitude of…

A: The general equation of a sinusoidal wave is given by: Where φ is the phase. Substitute the values…

Q: y(x,t) = (5.00cm)sin| 2.00- c+| 4.00- t+=rad

A: THE GENERAL EQUATION FOR TRANSVERSE WAVE IS GIVEN BY; y(x,t) =Asinkx+ωt+δwhere;A=Amplitudek= Wave…

Q: A wave on a string is described by y (x, t) = A sin[kx - wt], where A = 0.020 m, k = 3.88 rad/m, and…

Q: The wavefunction for a wave on a taut string of linear mass density µ = 40 g/m is given by: y(x,t) =…

A: Given: Equation of travelling wave: y(x, t) = 0.25 sin(ωt -πx + ϕ)

Q: t A traveling wave on a string has an amplitude of 0.166 m and the string element at x =0 and t = 0…

A: We will answer this question by using the given equation of wave. The steps are given below.

Q: Write the y-equation for a wave traveling in the negative x-direction with wavelength 50 cm, speed…

A: The wave traveling in negative direction is given by, y=Acoskx+ωt =Acos2πλx+2πTt =Acos2πxλ+tT The…

Q: What are the parts of this traveling wave? y(x,t) = (9.00 m) sin( (6 m¯¹)x + (4ñ rad/s)t - n/8) 1.…

A: The final answer 1) Longitudinal wave 2) (-ve) X direction

Q: The equation of certain traveling waves is y(x,t) = 0.0450 sin(25.12x - 37.68t - 0.523) where x and…

A: Given: The equation of the wave is yx,t=0.0450sin25.12x-37.68t-0.523.

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

A: Here,f = 16 Hz

Q: A wave is modeled by the wave function: y (x, t) = A sin [ 2π/0.1 m (x - 12 m/s*t)] 1. Find the…

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 wave is described by the following equation y (x,t) = 3 sin (36t + 0.018x + �4 ). What is your understanding of this wave? (Like, in which direction it moves, its velocity, wavelength, frequency, amplitude etc…)

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

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 harmonic transverse wave function is given by y(x, t) = (0.850 m) sin (15.3x + 10.4t) where all values are in the appropriate SI units. a. What are the propagation speed and direction of the waves travel? b. What are the waves period and wavelength? c. What is the amplitude? d. If the amplitude is doubled, what happens to the speed of the wave?
The equation of a harmonic wave propagating along a stretched string is represented by y(x, t) = 4.0 sin (1.5x 45t), where x and y are in meters and the time t is in seconds. a. In what direction is the wave propagating? be. N What are the b. amplitude, c. wavelength, d. frequency, and e. propagation speed of the wave?
Two sinusoidal waves are moving through a medium in the same direction, both having amplitudes of 3.00 cm, a wavelength of 5.20 m, and a period of 6.52 s, but one has a phase shift of an angle . What is the phase shift if the resultant wave has an amplitude of 5.00 cm? [Hint: Use the trig identity sinu+sinv=2sin(u+v2)cos(uv2)
A sound wave traveling in air has a pressure amplitude of 0.5 Pa. What is the intensity of the wave?
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?
Two sinusoidal waves are moving through a medium in the positive x-direction, both having amplitudes of 7.00 cm, a wave number of k=3.00 m-1, an angular frequency of =2.50 s-1, and a period of 6.00 s, but one has a phase shift of an angle =12 rad. What is the height of the resultant wave at a time t=2.00 s and a position x=0.53 m?
A sound wave is modeled with the wave function P=1.20Pasin(kx6.28104s1t) and the sound wave travels in air at a speed of v=343.00 m/s. (a) What is the wave number of the sound wave? (b) What is the value for P(3.00 m, 20.00 s)?
How many times a minute does a boat bob up and down on ocean waves that have a wavelength of 40.0 m and a propagation speed of 5.00 m/s?
Rank the waves represented by the following functions from the largest to the smallest according to (i) their amplitudes, (ii) their wavelengths, (iii) their frequencies, (iv) their periods, and (v) their speeds. If the values of a quantity are equal for two waves, show them as having equal rank. For all functions, x and y are in meters and t is in seconds. (a) y = 4 sin (3x 15t) (b) y = 6 cos (3x + 15t 2) (c) y = 8 sin (2x + 15t) (d) y = 8 cos (4x + 20t) (e) y = 7 sin (6x + 24t)
Two sinusoidal waves are moving through a medium in the positive x-direction, both having amplitudes of 6.00 cm, a wavelength of 4.3 m, and a period of 6.00 s, but one has a phase shift of an angle =0.50 rad. What is the height of the resultant wave at a time t=3.15 s and a position x=0.45 m ?
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?
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?