For the following questions, consider a wave travels along a stretched horizontal rope a. The vertical...
5. The diagram shows a wave at a particular moment in time as it travels along a rope in the direction shown Which one of the following statements is true about the point P on the rope? (a) It is moving upwards (b) It is moving downwards (c) It is moving to the right. (d) It is momentarily at rest l' ·? 6. Two sinusoidal waves travel in the same medium but one with twice the wavelength of the other....
2. A sinusoidal wave is traveling along a rope. The oscillator that generates the wave completes 39.0 vibrations in 29.0 s. A given crest of the wave travels 410 cm along the rope in 14.0 s. What is the wavelength of the wave? 3. When a particular wire is vibrating with a frequency of 5.00 Hz, a transverse wave of wavelength 64.0 cm is produced. Determine the speed of waves along the wire.
The transverse displacement of an harmonic wave on a stretched rope is y = 0.05 cos(2.9 x - 5.8 t), where x and y are in meters and t is in seconds. 1) What is the amplitude of this wave? A = m 2) What is the wavelength of this wave? l = m 3) What is the speed with which this wave travels? |v| = m/s 4) In what direction is this wave propagating? +x -x +y -y +z...
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 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 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
6. Transverse waves are propagating along a stretched rope. The tension in the rope is doubled. (a) If the wavelength is to remain unaffected, by what factor should the frequency change? (b) Does this change the speed of the wave? If so, by what factor? 7. A wave described by the function below propagates in a string under a tension of 0.18 N. y(x,t) = 2.4 x 10-3 sin (36x – 270t) m where x is in meters, and t...
4. Travelling Waves and Their Characteristics A sinusoidal rope wave travels along the positive x - direction. You are also told that the speed of the wave is 20 cm/s, its frequency is 40 Hz, and that the wave is subject to the following initial conditions: at x = 0 and t = 0: y = +5 cm, and, at x = 0 and t = 0:09 = +10 cm/s (this is the transverse velocity of a point on the...
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.