1. A transverse wave on a string is modeled with the wave function: y(x,t) = (1.00 cm)sin(3.00m-x- 5.00s1t+ n/16) a) What are the amplitude, wavelength, period, and initial phase of the wave? Amplitude: A = V cm Wavelength: A = Period: T = Initial Phase: 0 = %3D b) What is the height of the string with respect to equilibrium position x=2.00m and at a time of t=14 .00s? y(2 m,14 s) = V cm %3D

The equation for the displacement of a stationary wave on a string is given by y = 2 (sin 5πt)(cos 6πx), where x and y are in meters, and t is in seconds.  Determine: a.  wave period!

Order the following waves by their wave vector. Negative wave vectors are less than positive wave vectors. a) y(x, t) = 4 sin(x - t) b) y(x, t) = 4 sin(-x- - t) - c) y(x, t) = 4 sin(2x - 5t) d) y(x, t) = sin(-2x - t) a) > c) > d) > b) d) >b) > c) > a) c) = d) > a) = b) c) > a) > b) > d) A

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.   .

1. The equation of a traveling wave is given by: Y = 10 Sin n(0.01 x – 2.00 t) where x is in centimeters andt is in seconds. a. Find the amplitude, frequency, velocity and wavelength of the traveling wave, b. Find the maximum transverse velocity of a particle in the rope.

1. what is amplitude A of the wave in cm 2. what is the wavelength of the wave in m 3. what is the period T of the wave in ms 4. calculate the wave speed v in ms

Two students stand x meters apart with a rope stretched between them. One student moves her hand up and down 25 times in t seconds, which causes a standing wave with n total nodes to form.    Sketch a picture of the standing wave that forms.  n=6 2.What is the wavelength?  x=5.0m 3. What is the wave frequency?  t=10s 4. What is the wave period?

QUESTION 6 Consider the following sinusoidal function that represents a propagating wave in the x-direction. y(x, t) = (3.0 m)cos[(5m-1)x - (8 rad/s)t]. %3D What is the speed of this wave? а. 0.80 m/s b. 1.2 m/s C. 1.6 m/s d. 2.0 m/s e. 0.40 m/s

2. Waves traveling across a string are obey the equation; y(x, t) = 0.05m sin(89.7x – 868t + 4) assume proper SI units a) What is the wavelength, period, and wave speed of this wave? b. If an element of the string at x=0 and t=0 is at the position y = 0.035 m and is traveling upward (+y direction), what is the phase constant p?

2a. There are two different speeds to consider in traveling waves. The first is the speed of the particles that make up the medium through which the wave travels. In most cases, these particles oscillate back and forth about an equilibrium position like a mass on a spring. However, this is NOT what we mean by the speed of a wave or wave speed. The wayeszeed, or speed of propagation, is generally determined by the properties of the medium but for all waves traveling through any medium it can be written as v = ? (words and symbols) 2b. A transverse wave travels at a speed v = 35 m/s with frequency f= 10 Hz. What is its wavelength 2? V- 35m/sec f-10 Hz v= fT , where > is wavelength 35 = 10H27,7 = 3.5m 2c. Write down the equation of this wave y() if it is traveling in the +x direction with an amplitude of 0.5 m, in symbols first, then with the numbers and units. Calculate the y-position for a particle located at position x = 0.4 m at time t= 0.75 s. y = Asin ( 2d. As in Chapter 14, we can…