You hold one end of the clothesline taut and wiggles it up and down sinusoidally with frequency 2.00 Hz and amplitude 0.075 m. The wave speed on the clothesline is v = 12.0 m/s. At t = 0, the end has maximum positive displacement and is instantaneously at rest. Assume that no wave bounces back from the far end. Find the  a.    Angular frequency b.    period T,  c.    wave number k.

A traveling wave is represented by a wave function y(x, t)= (5.0 cm) sin (x-(0.20 m/s)t). When 3.0 m' t= 0 s, the first crest of this wave function on the positive side of the x coordinate origin is located at a. 0.25 m. b. 0.75 m. c. 1.50 m. d. 3.0 m. 3.0 m.

1. A surface ocean wave has an amplitude of 0.60 m and the distance from trough to trough is 8.00 m. It moves at a constant wave speed of 1.50 m/s propagating in the positive x-direction. At t=0, the water displacement at x = 0 is zero, and vy is negative. Assuming the wave can be modeled as a sine wave, write a wave function to model the wave in 3 ways.2. What is the wavelength of the waves you create in a swimming pool if you splash your hand at a rate of 2.3 Hz and the waves propagate at a wave speed of 7.25 m/s? Round your answer to 2 decimal places. 3. A wave is modeled by the wave function y(x,t) = (0.31m) sin[(2π/4.68m)(x-(14.03m/s)t)]. What is the period of the wave? Round your answer to 2 decimal places.

7. A wave moves at a constant speed along a string. Which one of the following statements is false concerning the motion of particles in the string? A) The particle speed is constant. B) The particle speed is not the same as the wave speed. C) The particle speed depends on the amplitude of the periodic motion of the source. D) The particle speed depends on the frequency of the periodic motion of the source. E) The particle speed is independent of the tension and linear density of the string. 8. When a mass of 3.0-kg is hung on a vertical spring, it stretches by 0.085 m. Determine the period of oscillation of a 4.0-kg object suspended from this spring. A. 0.68 s B. 0.82 s C.5.6 s D. 9.4 s 9. In a certain antique clock, a pendulum has worn out over time and has a length L, which gives a period T, = 0.9 s. The length of the pendulum is adjusted to a new value L2 such that the time period is corrected to T2 = 1.0 s. What is the ratio L2/L1? A) 0.90 B) 0.95 C) 1.11 D) 1.23 10. The decibel…

A fisherman notices that his boat is moving up and down periodically, owing to waves on the surface of the water. It takes 3.0 ss for the boat to travel from its highest point to its lowest, a total distance of 0.61 mm. The fisherman sees that the wave crests are spaced 7.8 mm apart. 1.How fast are the waves traveling? Express your answer in meters per second.   2.What is the amplitude of each wave? Express your answer in meters.   3.If the total vertical distance traveled by the boat were 0.35 mm, but the other data remained the same, how fast are the waves traveling? Express your answer in meters per second.   4.If the total vertical distance traveled by the boat were 0.35 mm, but the other data remained the same, what is the amplitude of each wave? Express your answer in meters.

10. A block hangs on a spring attached to the ceiling and is pulled down 6 inches below its equilibrium position. After release, the block makes one complete up-and-down cycle in 2 seconds and follows simple harmonic motion. a. What is the period of the motion? b. What is the frequency? c. What is the amplitude? С. d. Write a function to model the displacement d (in inches) as a function of the time t (in seconds) after release. Assume that a displacement above the equilibrium point is positive. е. Find the displacement of the block and direction of movement at t = 1 sec.

Which of the following four options is the correct one Which one or more? a. A spectrogram is a graph of frequency against amplitude and time with time on the x-axis, frequency on the y-axis and amplitude indicated by brightness or colour. b. A spectrogram is a graph of amplitude on the y axis against time on the x-axis. c.   A spectrogram is a graph of frequency against amplitude and time with time on the x-axis, frequency on the y-axis and amplitude indicated by crosses. d.   A spectrogram is a graph of amplitude against frequency and time with frequency on the x-axis, time on the y-axis and amplitude indicated by brightness or colour.

A.)A wave has a speed of 260.0 m/s and a wavelength of 5.2 m. What is the frequency of the wave?  B.)What is the period of the wave?   .

7. Two travelling waves are defined: Y+ = cos(kx-wt) and Y = cos(kx+wt) Calculate the sum, Y+ + , and make sketches of the wave as a function of x for various times (t = 0, T/4, T/2, etc). Describe the motion of the wave. What is the repetitive period?

1.)The equation of a transverse wave traveling in a string is given by y=A sin(k x−ωt). The tension in the string is 13.0 N, A = 10 mm, k = 28 rad/m, ω = 640 rad/s. What is the wave speed?  2.)What is the linear density of the string.   .