How many wavelengths of sound are between the two animals?

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SUMMARY

The discussion focuses on calculating the number of wavelengths of sound between a rhinoceros and her mate, given a frequency of 5.0 Hz and a distance of 480 m. The speed of sound is determined using the formula v = 331 + (0.6)*T, resulting in a speed of 352 m/s at 35°C. The wavelength is calculated as 70.4 m, leading to a total of 6.818 wavelengths between the two animals. Rounding preferences for the final answer may vary by instructor.

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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!
 
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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.
 

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