The notes produced by a tuba range in frequency from approximately 45 Hz to 375 Hz. Find the possible range of wavelengths in air produced by the instrument when the speed of sound in air is 343 m/s.
- print Print
- list Cite
Expert Answers
mwmovr40
| Certified Educator
calendarEducator since 2011
write259 answers
starTop subjects are Science and Math
The relationship for wavespeed and the properties of a wave are given by the relationships
S = df where S is speed, d is the distance traveled, and f is frequency
S = d/T where T is the period
S = Wf where W is the wavelength
and S = W/T
For this given problem we can find the minimum and maximum wavelengths rearranging the S = Wf equation.
W = S/f
for the lowest note of 45 Hz (45/second) we get W = (343m/s)/(45/s) = 7.62 m
for the highest note of 375Hz (375/seconds) we get
W=(343m/s)/(375/s) = 0.915 m.
Therefore the range of wavelengths is between 0.915m to 7.62m.
Related Questions
- A wave has a frequency of 22 Hz. What is the the wavelength?
- 1 Educator Answer
- the frequencies of musical instruments range from 20 to 20000 hz. give its range in units of...
- 2 Educator Answers
- What is the wavelength of electromagnetic radiation with a frequency of 8.6 X 1011 Hz?
- 1 Educator Answer
- Green light has a wavelength of 5.20 × 10−7 m and travels through the air at a speed of 3.00 ×...
- 1 Educator Answer
- A wave has a frequency of 29.88 Hz. What is the wavelength?
- 1 Educator Answer