A sinusoidal transverse wave has a wavelength of 2.8 m. It takes 0.1 s for an element of the string at a position x to move from the maximum position of ymax= 0.03 m to the equilibrium position y = 0. What is the period of the wave, T, and the wave speed, v? 0.4 sec; 7 m/s O 0.4 sec; 28 m/s O 0.8 sec; 3.5 m/s 0.8 sec: 14 m/s
Q: A 2.0 kg mass is attached to a string as shown. The mass/length of the string is 5.00 g/m. Determine…
A:
Q: A wave travelling along a string is denoted by: y(x, t) = 0.05 m sin(8.0 m-x- 3.00 s-1t). Solve for:…
A:
Q: A block-spring system has a maximum restoring force Fmax = 0.1 N. If the %3D amplitude of the motion…
A: By using restoring force we find the propagation constant K and we find angular frequency by km…
Q: 1) two sinusoidal waves are traveling in the same positive x direction and have the wave functions…
A: Given: Two sinusoidal waves travelling in same direction x, y1=0.4 sin-0.25πt+4πxy2=0.4…
Q: A standing wave with wavelength = 1.2 m and frequency f= 50 Hz is generated on a stretched cord. For…
A: A standing wave is produced on a vibrating string as waves moving in opposite directions on the…
Q: A standing wave with wavelength A = 1.2 m and frequency f 100 Hz is generated on a stretched cord.…
A: A standing wave is formed by the superposition of two waves moving in opposite directions.When the…
Q: A standing wave with wavelength A 1.2 m and frequency f = 100 Hz is generated on a stretched cord.…
A: The maximum velocity is given by v = w A where, w is the angular frequency and A is the amplitude.…
Q: The equation of a wave is given by y=4sin[0.5π(x-3t)] where x and y are given in meters and t in…
A:
Q: A sinusoidal wave travels along a string. The time for a particular point to move from maximum…
A: The time period (T) of a sinusoidal wave is the time takes for a sine wave to complete one full…
Q: The linear density of a string is 2.1 x 10-4 kg/m. A transverse wave on the string is described by…
A:
Q: Assume a transverse wave on a string described by y(x, t) = A cos(kx - ωt). a) The wave has an…
A:
Q: A standing wave with wavelength λ = 1.2 m and frequency f = 50 Hz is generated on a stretched cord.…
A: Given: The wavelength of the wave is 1.2 m. The frequency of the wave is 50 Hz. The maximum…
Q: The equation for a wave on a string is given below,D(x,t)=0.021m sin [2Π{2.0)x+(30)t-1/2}] where x…
A: Here given the equation of the wave as D(x,t)=0.021m sin [2Π{2.0)x+(30)t-1/2}], where x is in m and…
Q: A sinusoidal transverse wave is traveling along a string in the negative direction of the x-axis.…
A: Given Data: Speed of the string (v) = 12 m/s. To Determine: The amplitude, wavelength and period.
Q: A wave travels in a string at 41.0 m/s. A second string has the same length as the first string,…
A:
Q: The wave function of a mechanical wave on a string is described by: y(x.t) = 0.015cos(2rtx-50rtt +…
A:
Q: A wave on a string is described by the equation y(x,t) = (0.50m) cos[1.0 rad/m)x-10 rad/s)t]. 1)…
A: Equation of wave is given asNote:Find:(a) Frequency.(b) Wavelength.(c) Speed of wave.
Q: The wave function of a mechanical wave on a string is described by: y(x,t) = 0.015cos(2ttx - 50tt +…
A:
Q: y(x,t) (8.3 mm) sin[kx+ (800 rad/s)t + p] %3D
A:
Q: A transverse wave on a string is modeled with the wave function y(x,t) = (0.30 cm) sin (2.00 m x –…
A: Given : Wave function, y(x,t) = (0.30 cm) sin (2.00 m-1x - 3.00 s-1t +π16) .....(1) Then, y…
Q: A standing wave on a stretched string fixed at both ends is described by: y(x,t) = 0.1 sin(2rtx)…
A: Given: The displacement (y) of the standing wave at any time (t) is given by 0.1Sin(2πx)Cos(100πt).…
Q: The wave function for a wave on a taut string is given by: y(x,t) = 0.08 sin(0.5mx - пt + π/6),…
A: Wave function, y(x,t)=0.08sin(0.5πx-πt+π6)
Q: A standing wave on a stretched string fixed at both ends is described by: y(x.t) = 0.1 sin(2rtx)…
A:
Q: If y(x,t) = ( 8.4 mm) sin[kx+ (580 rad/s)t + p] describes a wave traveling along a string, how much…
A: A wave is given by the equation : y(x,t) = 8.4mm Sin(kx + 580t + φ)
Q: tense string with total mass 0.10kg and length 1.10m has a tension 21.00N applied to it. What would…
A:
Q: A standing wave with wavelength A = 1.2 m and frequency f = 50 Hz is generated %3D on a stretched…
A: Given data, Wavelength of wave, λ=1.2 m. Frequency, f=50 Hz. Max. transverse speed, vmax=2π m/s.…
Q: A wave of form: y(x,t)= (0.035 m) cos[(160 s-1)t +(5 m-1) x] travels down a string with a density of…
A: Given,
Q: A transverse wave on a string has an amplitude of 15cm, a wavelenght of 25 cm, and a frequencyof 2.0…
A:
Q: Your answer is partially correct. A sinusoidal wave travels along a string. The time for a…
A:
Q: The wavefunction of a mechanical wave on a string is described by: y(x,t) = %3D…
A: Given, equation of wavefunction given, we have to find the velocity at x=0, and t=0
Q: A standing wave on a stretched string fixed at both ends is described by: y(x,t) = 0.1 sin(2πx)…
A:
Q: A transverse wave yields a 'y' value as a sine function of 'x' and 't'. The wave oscillates between…
A:
Q: A transverse sinusoidal wave is moving along a string in the positive direction of an x axis with a…
A: Concept: To calculate the necessary quantities, we utilize the standard equation of a transverse…
Q: 2 sinusoidal waves are traveling in opposite direction and have the following wave functions: y1 =…
A: First of all we have to use principle of superposition of waves and then using trigonometric formula…
Q: A point on a string undergoes simple harmonic motion as a sinusoidal wave passes. When a sinusoidal…
A:
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: The linear density of a string is 1.6×10 kg/m. A transverse wave on the string is described by the…
A: Given, The linear density of the string, μ=1.6×10-4 kg/m The equation of the transverse wave,…
Q: A standing wave with wavelength A = 1.2 m and frequency f = 50 Hz is generated on a stretched cord.…
A: Given Data: Wavelength, λ=1.2 m Frequency, f=50 Hz Element position, x=0.5 m Max. velocity at x=0.5…
Q: A sinusoidal transverse wave has a wavelength of 2.8 m. It takes 0.1 s for an element of the string…
A: The wavelength =2.8m To find the period of the wave , wave speed , frequency and time period
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
- The wave functions for two waves traveling on a string are described by Y(x.c) =A sin (x-40xt) and t)= A sin (rx t 40mt). where, y and x are in meters, and t is in seconds. An element of the string oscillating vertically with amplitude A would be located at. O x - (1/18) m Ox-(1/6) m. O-x-(1/15) m O x = (1/8) m O x = (1/12) mQuestion: As a longitudinal wave passes through a medium, a particle making up the medium with an equilibrium position of x = 1.01 m undergoes simple harmonic motion described by the equation s(t) = 2.33 cos(3.67t +2.400) cm. The wavelength is 49.0 cm. Part 1) What is the maximum speed of a particle making up the medium? m/s Umax Part 2) What is the wave speed? U= m/s Part 3) Write an equation to describe the wave as a function of x and t, where x is in m and t is in s. The wave is travelling in the positive direction. s(x, t) = sin m A correct answer is 0.0855, which can be typed in as follows: 0.0855 A correct answer is 0.286, which can be typed in as follows: 0.286 A correct answer is 0.0233, which can be typed in as follows: 0.0233 A correct answer is 12.8 x 3.67t+-13.8, which can be typed in as follows: 12.8*x-3.67*+-13.8The equation of a transverse wave traveling on a string is given by y = A sin(kx - wt). Data: A=11 mm, k=35 rad/m, w= 500 rad/s. 1) What is the amplitude? 2) What is the frequency? 3) What is the wave velocity? 4) What is the wavelength? 5) For the same wave, find the maximum transverse speed of a particle in the string.
- The speed of a wave on a string with a fixed end and a free end is 345 m/s. The frequency of the wave is 230 Hz. What length of string is necessary to produce a standing wave with the second harmonic? 1.13m 0.500m 0.375m 1.50mAlpQLScVNu8Sve2HkGS9zHQCZeYZTHLc_tAkScnqyZ2 A sinusoidal wave traveling in the positive x direction has a wavelength of 0.5m , an amplitude of 40.0 cm, and a period of 8 seconds. The transverse position of an element of the medium at t = 0, x = 0 is y = 10cm, and the element has a negative velocity here. The expression of the wave function describing this wave is: A- y(x, t) = 0.4 sin (-0.25t + 4nx + 0, 252) B- y(x,t) = 0.4 sin (-0.25nt + 4nx + 2,89) C- y(x,t) = 0,4 sin (4nt + 0. 25nx + D- y(x,t) - 0.4 sin (4nt – 0.25nx+ 0.252) E-y(x, t) - 0. 4 sin (4nt + 0.25nx + 2. 89) B 6- polntsA nylon rope of length 32m is under a tension of 1.2x10^4N. The total mass of this rope is 2.5 kg. If a Wave pulse Starts at one end of this rope, find its speed.
- A standing wave on a stretched string fixed at both ends is described by: y(xt) = 0.1 sin(2Ttx) cos(100Ttt). The string has a length L = 1m. For t> 0. an element on the string located at x = 0.75 cm would have a zero speed for the second time at: t3 0.01 sec O t-0.02 sec t= 0.025 sec t= 0 005 se t 0.015 sed The left end of a taut string of length L. is connected to a vibrator with a fxed The right cend of the string is tied to a suspernded object of varyngThe wave function of a sinusoidal wave generated in a string is given by: y(x,t) = 0.2 sin (2èx + 4rt + p). At t = 0, an element of the string at x = 0 has a vertical displacement of 0.2 m. The phase constant is: O p = π/2 4 = -π/4 4 = -π/2 φ = π 4=0A standing wave on a stretched string fixed at both ends is described by: y(x,t) = 0.1 sin(2Ttx) cos(100rnt). The string has a length L = 1m. For t> 0, an element on the string located at x - 0.75 cm would have a zero speed for the second time at: t= 0.005 sec t = 0.01 sec t= 0.025 sec O t= 0.02 sec O t= 0.015 sec
- The wave function on a taut string is described by y(x,t) = 0.05 sin(2Ttx - 30Ttt - Tt/2), where x and y are in meters and t is in seconds. At what time would an element on the string located at x = 1 m have a maximum positive transverse velocity for the first time. 1/60 sec 1/20 sec O 1/37 sec 1/15 sec 1/12 secA transverse wave yields a 'y' value as a sine function of 'x' and 't'. The wave oscillates between +0.6 m and -0.6 m. The wavenumber for this transverse wave is 12.5 rad/m and the angular frequency is 3.2 rad/s. What is the minimum amount of time it would take for the wave to travel from a point on the wave that has a value of ya = +0.4 m to another point that has a value of yb = -0.25 m?A wave on a string is described by y ( x , t ) = (1.5 cm) sin [2π( x/0.3 m + t/0.4 s ) + 0.1 ]. This equation will be used for the next three questions. a) Find the frequency (f) and wavelength using the equation, and then solve for the wave speed. Enter your answer in units of m/s below. b) At t = 0.2s, what is the displacement of the string at x = 0.5m? Answer in cm. c) Now assume the string is fixed on both ends. How long must the string be in order to produce a second-mode standing wave? Answer in m.