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How many times a minute does a boat bob up and down on ocean waves that have a wavelength of 40.0 $\mathrm{m}$ and a propagation speed of 5.00 $\mathrm{m} / \mathrm{s} ?$

$f_{\min }=7.5 \min ^{-1}$

Physics 101 Mechanics

Physics 103

Chapter 16

Oscillatory Motion and Waves

Periodic Motion

Wave Optics

Cornell University

University of Washington

Simon Fraser University

McMaster University

Lectures

02:51

In physics, wave optics is…

10:02

Interference is a phenomen…

01:52

A fisherman notices a buoy…

01:24

Ocean waves are traveling …

04:29

(II) A wave on the surface…

02:37

What is the wavelength of …

01:05

A sunbather stands waist d…

01:38

Ocean waves with 18-m wave…

01:26

Periodic WavesWhat is …

03:44

You observe that 25 crests…

10:10

A wave travels with speed …

A stationary boat bobs up …

00:49

Wind gusts create ripples …

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A container ship is travel…

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(I) A fisherman notices th…

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So here we know that the relationship between frequency wave velocity and the wavelength we can save e the wave velocity would be equal in the frequency times the wavelength. And so we can say that the frequency would simply be equal to the wave velocity divided by Lambda the wavelength. And so this would be 5.0 meters per second, divided by 40 0.0 meters. And the frequency is then found to be point 125 hertz. And we know that each particle in the ocean then also waits 0.1 to 5 times in one second. And so the boat will also oscillate with this frequency. So the number of oscillations per minute and we could say number of oscillations per minute would be equaling the frequency times the time. And so this would be 0.1 to 5 hertz mold supplied by 60 seconds, and we find the and the number of oscillations is equaling seven and 1/2 7.50 This would be our final answer. That is tthe e end of the solution. Thank you for

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