3. A woman is standing in the ocean, and she notices that after a wavecrest passes, five more crests pass in a time of 50.0 s. The distancebetween two successive crests is 32 m. Determine, if possible, thewave's (a) period, (b) frequency, (c) wavelength, (d) speed, and (e)amplitude. If it is not possible to determine any of these quantities,then so state.

Time for 5 crests = 50 s distance between two successive crests = 32 m

Answered: 3. A woman is standing in the ocean,…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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3: Which of the following describes a standing wave of amplitude 0.5 m, wavelength 2 m and period 32 of amplitude s? (in each, z is in m and t is in s) a: 0.5 sin(x-t/16) b: 0.5 sin(x/16-nt) c: 0.5 sin(x) cos(nt/16) d: 0.5 sin(x/16) cos(nt) e: sin(x) cos(16mt)
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…
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.
1) If you want to know the speed of a long-wavelength wave (e.g. tsunami or tide), you can use the shallow-water wave velocity equation v=gd where g is acceleration due to gravity (~10 m/s2), d is water depth (in meters), and v = speed (in meters per second). a) Calculate the speed of a tsunami (in meters per second), assuming an average ocean depth of 4000m. b) Convert the speed of a tsunami from meters per second to meters per hour (note that 1 hr = 3600 seconds). c) Convert the speed of a tsunami from meters per hour to miles per hour (note that 1 mile = 1600m).
4. For the following, identify the speed of the wave f(x, t) and the direction it is travelling. (a) f(x, t) = 10 cos(10x + 3t) (b) f(x, t) = −2 sin(2x − 4t — π)
10. A rubber ducky (located at x = 0 m) that floats on a lake and bobs up and \y (in cm) at t=0 down due to one dimensional water waves. Shown are a y(x) graph that depicts the water wave as a function of position at the time t = 0 s and a y(t) graph that depicts the vertical displacement of rubber ducky as a function of time. 4 At 2 x (in m) 3 -4 In this question you are to assume that you are trying to fit the general equation for a travelling sine wave given by: -6 y (in cm) at x=0 y(x,t) = A sin 27÷±27; 6 t (in s) -2 -4 -6 a. What is the wavelength (in m) and period (in s) of this water wave? b. What is the velocity of this water wave (both speed and direction)? c. What is the value of ø (i.e. the phase constant) for this water wave (in radians)?
5. Calculate the time displacement for each of the given waves, stating lead or lag. (a) (b) (c) 20 sin 100t+ || cos(7t-0.26) and 5 cos (77) COS ++15 -1) ₁ 1 t+1 eл ел and the function before the shift. and the function before the shift.
1. s)A standing wave pattern on a string is described by y = 0.06(sin7x) (соs60nt) where x and y are in meters and t is in seconds. For x ≥ 0, what is the location of the node with the (a) smallest, (b) second smallest, and (c) third smallest value of x? (d) What is the period of the oscillatory motion of any (nonnode) point? What are the (e) speed and (f) amplitude of the two traveling waves that interfere to produce this wave? For t_0, what are the (g) first, (h) second, and (i) third time that all points on the string have zero transverse velocity
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