Chapter 11, Problem 36P

To determine

To Find: The travelling speed of the wave.

Answer to Problem 36P

The travelling speed of the wave is $2.17\text{ m/s}$ .

Explanation of Solution

Given info:

Time period, $T=3.0\text{ s}$

Wavelength, $\lambda =6.5\text{ m}$

Formula used:

The expression for frequency.

  $f=\frac{1}{T}$   ... Equation (1)

The expression for Wavelength.

  $v=f\times \lambda$ .....…Equation (2)

Here,

  $T$ is time period.

  $f$ is frequency of oscillation.

  $\lambda$ is wavelength.

  $v$ is velocity.

Calculation:

The frequency using equation (1),

  $f=\frac{1}{3}=0.333\text{ Hz}$

Calculate the wavelength using equation (2).

  $v=0.333\times 6.5=2.17\text{ m/s}$

Conclusion:

Thus, the travelling speed of the wave is $2.17\text{ m/s}$ .