Answer to Question #122350 in Physics for Lilly

Question

A wave can travel through a medium for a distance of 650 m in 44.0 seconds. If the source
vibration has a period of 920 milliseconds, then what is the wavelength?

Answer 1

The speed of wave, by definition is:

$$v = 650m/44s = 14.78m/s$$

Also, the frequency of the wave is equal to the frequency of the source and is given by the reciprocal period:

$$f = 1/920ms = 1.1Hz$$

Finally, the wavelength of the traveling wave can be found as:

$$\lambda = \dfrac{v}{f} = \dfrac{14.78m/s}{1.1Hz} \approx 13.4 m$$

Answewr. The wavelength is 13.4 m.