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- 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?A horizontal wire is stretched with a tension of 94.0 N, and the speed of transverse waves for the wire is 406 m/s. What must the amplitude of a traveling wave of frequency 69.0 Hz be for the average power carried by the wave to be 0.365 W? Choices: 7.23mm 4.10mm 5.00mm 8.45mmConsider a transverse periodic (sinusoidal) wave passing through a very long string of mass density 0.250 kg/m. The wave function for this wave is found to be: y (x,t) = (0.125 m) cos [(1.10 rad/m) x - (15.0 rad/s) t] From the equation find the following quantities 1. Direction of th oscillation of the medium (i.e. which axis) 2. Direction of the motion of the wave (i.e. which axis, and ij the positive or negative direction) 3. Speed of the wave 4. Tension of the string 5. Average power P av delivered by the wave
- Find (a) the amplitude, (b) the wavelength, (c) the period, and (d) the speed of a wave whose displacement is given by y=1.0 cos( 0.75x + 33 t), where x and y are in cm and t is in seconds. (e) In which direction is the wave propagating?The elastic limit of a steel wire is 2.70 × 108 Pa. What is the maximum speed at which transverse wave pulses can propagate along this wire without exceeding this stress? (The density of steel is 7.86 × 103 kg/m3.)If a wave that is traveling is described by y(x,t) = (0.00327 m) sin (72.1 x +2.27 t), where the standard SI units are used (72.1 rad/m and 2.72 rad/s), then what is the transverse velocity of the string element at x = 25.2 cm and t = 19.8 s?
- A horizontal wire is stretched with a tension of 92.0 N, and the speed of transverse waves for the wire is 406 m/s. What must the amplitude of a traveling wave of frequency 63.0 Hz be in order for the average power carried by the wave to be 0.364 W?For a group of waves in shallow water, wave height is measured as H=1m, and the wave celerity is found as c=2m/s. Assuming that the energy transmitted by waves is uniform in the shore-normal direction and the deep-water wave height is 0.6 m, find the wave period.A horizontal wire is stretched with a tension of 94.0 N, and the speed of transverse waves for the wire is 406 m/s. What must the amplitude of a traveling wave of frequency 69.0 Hz be for the average power carried by the wave to be 0.365 W?
- An aluminum rod, 1.00 m long, is held lightly in the middle. One end is struck head-on with a rubber mallet so that a longitudinal pulse—a sound wave—travels down the rod. The fundamental frequency of the longitudinal vibration is 3.20 kHz. At any given instant, in which direction do the two ends of the rod vibrate?A longitudinal wave of frequency 220hz travels down a copper rod of radius 8.00mm. The average power in the wave is 6.50μW. a) Find the wavelength of the wave. B) Find the amplitude of the wave. ( ρcopper = 8.9 × 10^3kg/m^3 ; Elastic moduli of copper = 14 × 10^10N/m^2 )The equation of a transverse wave traveling along a verylong string is y = 6.0 sin(0.020px = 4.0pt), where x and y are expressedin centimeters and t is in seconds. Determine (a) the amplitude,(b) the wavelength, (c) the frequency, (d) the speed, (e) thedirection of propagation of the wave, and (f) the maximum transversespeed of a particle in the string. (g) What is the transversedisplacement at x = 3.5 cm when t =0.26 s?