Surface Waves - Surface Waves The waves on the ocean are...

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Surface Waves The waves on the ocean are surface waves: They occur at the interface of water and air, extending down into the water and up into the air at the expense of becoming exponentially reduced in amplitude. They are neither transverse nor longitudinal. The water both at and below the surface travels in vertical circles, with exponentially smaller radius as a function of depth. Both empirical measurements and calculations beyond the scope of introductory physics give the propagation speed of water waves as , where is the magnitude of the acceleration due to gravity and is the wavenumber. This relationship applies only when the following three conditions hold: 1. The water is several times deeper than the wavelength. 2. The wavelength is large enough that the surface tension of the waves can be neglected. 3. The ratio of wave height to wavelength is small. The restoring force (analogous to the tension in a string) that restores the water surface to flatness is due to gravity, which explains why these waves are often called "gravity waves." A. Find the speed of water waves in terms of the wavelength . Express the speed in terms of , , and . = sqrt(g*lambda/(2*pi)) B. Find the speed of a wave of wavelength . Give your answer in meters per second to a precision of two significant figures. = 3.5 (+/- 2%) m/s C. Find the period for a wave of wavelength . Express the period in terms of , , and . = sqrt(2*pi*lambda/g) D. On the East Coast of the United States, the National Weather Service frequently reports waves with a period of 4.0 s. Find the wavelength and speed of these waves. Express your answers numerically as an ordered pair separated by a comma. Give an accuracy of two significant figures. , = 25 (+/- 3%) , 6.25 (+/- 1.5%) m, m/s E. On the West Coast of the United States, the National Weather Service frequently reports waves (really swells) with a period of 15 s. Find the wavelength and speed of these waves.
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Express your answers numerically as an ordered pair separated by a comma. Give an accuracy of two significant figures. , = 350 (+/- 2%) , 23 (+/- 4%) m, m/s [ Print ] Standard Expression for a Traveling Wave Learning Goal: To understand the standard formula for a sinusoidal traveling wave. One formula for a wave with a y displacement (e.g., of a string) traveling in the x direction is . All the questions in this problem refer to this formula and to the wave it describes. A. Which of the following are independent variables? only only only only only and and and and B. Which of the following are parameters that determine the characteristics of the wave? only only only only only and and and and C. What is the phase of the wave? Express the phase in terms of one or more given variables ( , , , , and ) and any needed constants like . = k*x-omega*t
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Surface Waves - Surface Waves The waves on the ocean are...

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