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Chapter 14: Problem 16

Ocean waves with 18 -m wavelength travel at \(5.3 \mathrm{m} / \mathrm{s} .\) What's the time interval between wave crests passing a boat moored at a fixed location?

Short Answer

Expert verified
The time interval between wave crests passing a boat moored at a fixed location is 3.40 seconds.

Step by step solution

01

Write down the formula for wave speed

The wave speed (v) is given by the equation \(v = \lambda / T\), where \(\lambda\) is the wavelength and \(T\) is the wave period.
02

Rearrange the formula to solve for T

By rearranging the above formula, we can express the period (T) in terms of the speed (v) and wavelength (\(\lambda\)). The resulting formula is \(T = \lambda / v\).
03

Substitute the provided values into the formula

We are given that the wave wavelength \(\lambda\) is 18 m and the speed \(v\) is 5.3 m/s. By substiting these values into our formula, we get \(T = 18\,m / 5.3\, m/s\).
04

Carry out the division to find T

\(T = 3.40\,s\). Therefore, the time interval between wave crests passing a fixed location is 3.40 seconds.

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