In deep water, the speed s (in meters per second) of a series of waves and the wavelength L (in meters) of the waves are related by the equation 2(pi)s^2=9.8L.

Question

a. Find the speed the the nearest hundredth of a meter per second of a series of waves with the following wavelengths: 6 meters, 10 meters and 25 meters. (Use 3.14 for pi)

b. Does the speed of a series of waves increase or decrease as the wavelength of the waves increases? Explain

Answer 1

What is your difficulty with this? You plug in the wavelengths for L, and compute s

s=sqrt(1/2pi * 9.8L)

obviously, from the equation, as L increases, s increases

Answer 2

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