What is the phase shift for a sine wave ? What is the phase shift for a sine wave with the maximum amplitude at time zero?
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- 1. The figure shows a resonant oscillation pattern on a string of mass 2.500 g and length 0.800 m. The rope is under a tension of 325 N. 8.00 mm Ű pood. 0 -x (m) 0.800 Show Transcribed Text Determine (a) the harmonic number, (b) the speed of the waves on the string, (c) the first three resonant frequencies.Figure 6a shows the appearance of a progressive wave transverse wave at a particular instant in time. The wave travels at a speed of 12 ms^-1. All Particles in the wave osciallte with simple harmonic motion. i. Calculate the frequency and time period of the oscillations. ii. Calculate the maximum acceleration of the particles (magnitude only). iii. Calculate the velocity of the particles when the displacement is ±1.0 cm iv. Compare the amplitude and phase of particles X and Y.9) A sinusoidal wave of frequency 500 Hz has a velocity of 350 m/sec. a) How far apart are (2) points that differ in phase by t/3 radians? b) What is the wavelength of the wave? c) What is the time interval between these (2) points? d) What is the period of the wave? e) What is the angular frequency? f) What is the constant of propagation?
- A sinusoidal wave is traveling along a rope. The oscillator that generates the wave completes 37.0 vibrations in 31.0 s. A given crest of the wave travels 420 cm along the rope in 14.0 s. What is the wavelength of the wave? mA highway overpass was observed to resonate as one full loop (A) when a small earth- quake shook the ground vertically at 3.0 Hz. The highway department put a support at the center of the overpass, anchoring it to the ground as shown below. What resonant frequency would you no expect for the overpass? It is noted that earthquakes rarely do significant shaking above 5 or 6 Hz. Did the modifications do any good? Explain. Copyright ©2006 Pearson Education, Inc. Before modification Added support After modificationQUESTION 1 Problem #1: A wave is modeled by the wave function below. What is the amplitude, wavelength, wave speed, period, and frequency of the wave? y (x, t) = (0.50 cm)sin (1.57 m-lr - 6.28 s-1t)
- A string of 1 m length clamped at both ends is plucked in the middle to generate a standing wave. Take the frequency of the first harmonic to be 10 Hz and the amplitude of the oscillations to be 2 cm. Consider the motion to be a simple harmonic one where appropriate. Select the statement that correctly describes the resulting oscillations. Select one: a. The string will oscillate in the 2nd harmonic. b. The string will oscillate in the 3rd harmonic. c. The string will oscillate in the 1st harmonic.None