Suppose a transverse wave travels down a stretched cable. Find the ratio vp/c of the maximum speed Vp with which any particle belonging to the cord travels (i.e. the cord’s maximum transverse velocity) to the speed c with which the wave travels down the cable.
For particle,
is the frequency
of SHM of particle,
A max. displacement or amplitude of the particle
V = ASint [
the particle undergoes SHM ] ......1st
Max. V,
Vp = A
For wave on the cable,
c = ..
here T = tension in the cable, = mass/length of the
cable .....2nd
Vp/c = A / ...From 1st and 2nd
Suppose a transverse wave travels down a stretched cable. Find the ratio vp/c of the maximum...
A sinusoidal transverse wave travels along a long, stretched string. The amplitude of this wave is 0.0923 m, its frequency is 2.69 Hz, and its wavelength is 1.75 m. (a) What is the shortest transverse distance between a maximum and a minimum of the wave? shortest transverse distance: (b) How much time is required for 51.5 cycles of the wave to pass a stationary observer? time to pass a stationary observer: (c) Viewing the whole wave at any instant, how...
A sinusoidal transverse wave travels along a long, stretched string. The amplitude of this wave is 0.0921 m, its frequency is 3.95 Hz, and its wavelength is 1.31 m. (a) What is the shortest transverse distance between a maximum and a minimum of the wave? shortest transverse distance: (b) How much time is required for 58.5 cycles of the wave to pass a stationary observer? time to pass a stationary observer: (c) Viewing the whole wave at any instant, how...
A sinusoidal transverse wave travels along a long, stretched string. The amplitude of this wave is 0.0863 m, its frequency is 2.89 Hz, and its wavelength is 1.13 m. What is the shortest transverse distance d between a maximum and a minimum of the wave? d = m How much time At is required for 75.7 cycles of the wave to pass a stationary observer? At = S Viewing the whole wave at any instant, how many cycles N are...
A transverse sine wave with an amplitude of 2.50mm and a wavelength of 1.80m travels from left to right along a long,horizontal stretched string with a speed od36.0m/s.Take the origin at the left end of the undisturbed string.At time t=0 the left end of the string has its maximum upward displacement .a) What are the frequency,angular frequency and wave number of wave?b) What is the function y(x,t) that describes the wave?c) What is y(t) for a particle at the left...
A transverse wave is traveling on a string stretched along the horizontal x-axis. The equation for the vertical displacement y is given by y(x,t) = Asin(kx-wt), where A is the amplitude of the wave is much smaller than the wavelength, an individual particle in the string has constant horizontal displacement x but oscillates in the y-direction. The maximum speed of the particle in the y-direction is... Aw A^2w Aw^2 w/k k/w
1. Travelling Waves A transverse wave travels along the length of a rope. The vertical displacement of any mass element of the rope is given by the function y(x.t) - 2sin(x+t+) in units of centimeters. Answer the following: () What is the velocity of the wave itself (indicate direction of motion as well)? (ii) Find the maximum transverse acceleration of the rope.
Problem 8 a) A transverse sinusoidal wave on a string has a period T-25.2ms and travels in the negative x direction with a speed of 30.9ms. At 0, a particle on the string atx 0 has a displacement of 2.00cm and travels downward with a speed of 1.85m/s. What is the amplitude of the wave? Submit Answer Tries 0/6 b) What is the initial phase angle? (Give the value in the range 0 to π) Submit Answer Tries 0/6 c)...
1. Transverse Mechanical Wave A transverse wave on a cord is given by D(x,t)=0.20 sin(3.0x-‐‐15.0t),where D and x are in m and t is in sec. (a) Calculate the period of the wave motion.(b) Calculate the propagation speed of the wave. (c) Calculate the acceleration of the particle on the cord at x=1 m and t=0.2 sec. Whatwould be its maximum, possible acceleration?(d) If the cord is under the constant tension of F=25.0 N, what is its linear massdensity?
A transverse sinusoidal wave on a string has a period T-17.0 ms and travels in the negative x direction with a speed of 30.0 m/s. At t = 0, a particle on the string at x = 0 has a transverse position of 2.00 cm and is traveling downward with a speed of 3.50 m/s. (a) What is the amplitude of the wave? 2.9 Your response differs significantly from the correct answer. Rework your solution from the beginning and check...
A sinusoidal transverse wave of wavelength 19.0 cm travels along a string in the positive direction of an x axis. The displacement y of the string particle at x = 0 is given in the figure as a function of time t. The scale of the vertical axis is set by ys = 4 cm. The wave equation is to be in the form of y = ym sin(kx - ωt + φ). (a) At t = 0, is a...