How many wavelengths of sound are between the two animals?

[physicsguy101]

Homework Statement

A rhinoceros is calling to her mate using sound wave whose frequency is 5.0 Hz. Her mate is 480 m away. The air is 35°C. How many wavelengths of the sound are between the two animals?

Homework Equations

v = 331 + (.6)*T
v = wavelength*frequency

The Attempt at a Solution

Find the speed of sound to be 352 m/s.
Then divide the speed of sound by 5 Hz to get the wavelength, which would be 70.4 m.

Then divide total distance separating them by wavelength to get # of wavelengths between them:
480m/70.4m = 6.818 wavelengths.

Is that solution correct? Also, is that the appropriate way to indicate the # of wavelengths, or is there some type of rounding I should do to it?

Thanks!

 

[Ericv_91]

Looks correct. As for the rounding, it's best to ask your teacher/professor what they prefer because they all seem to have their own favourite way. Some may want significant figures, some want 3 decimal places always.