Chapter 14, Problem 62A

To determine

The speed of the wave.

Answer to Problem 62A

The speed of wave for and ocean is $4.0\text{m/s}$ .

Explanation of Solution

Given:

Length of waveis $\text{12}\text{.0}\text{m}$ .

Time of the wave to pass at fixed location is $\text{3}\text{.0}\text{s}$ .

Formula Used:

The formula for wavelength is,

  $\lambda =\frac{v}{f}$

Where,

Wavelength: $\lambda$

Velocity: v

Frequency: $f$

Calculation:

Calculate the frequency of wave.

  $f=\frac{1}{T}$

Substitute the given values in above formula,

  $\begin{array}{l}f=\frac{1}{3.0\text{s}}\\ f=0.33\text{Hz}\end{array}$

Now, calculate the speed of wave:

  $\lambda =\frac{v}{f}$

Substitute the given values in the above formula and solve

  $\begin{array}{l}12.0\text{m}=\frac{v}{0.33\text{Hz}}\\ 12.0\text{m}\times 0.33\text{Hz}=v\\ v=4.0\text{m/s}\end{array}$

Conclusion:

Hence, the speed of wave for and ocean is $4.0\text{m/s}$ .