Question

Resonance of a String: A cello string is 60 cm long with a fundamental frequency of...

Resonance of a String:

A cello string is 60 cm long with a fundamental frequency of 486 Hz.

Show means do the calculation for wavelength and speed using the (PSF).

Show the fundamental wavelength is 1.20 meters.

Show the speed of the wave is 583 m/sec.


Draw the fundamental vibration to scale. Use 1 cm = 5 cm.


Draw the first 3 overtones to the same scale, arranging the diagrams neatly as in class.


Give frequency and wavelength of each overtone. Identify the harmonic. Be neat and clear. Draw you diagram the way I drew and labeled it in class look at my sketch. Also look at the open pipe sample problem.

0 0
Add a comment Improve this question Transcribed image text
Know the answer?
Add Answer to:
Resonance of a String: A cello string is 60 cm long with a fundamental frequency of...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • Resonance of a closed pipe: The length is 1.5 m, the fundamental f1 = 96 Hz....

    Resonance of a closed pipe: The length is 1.5 m, the fundamental f1 = 96 Hz. Draw the fundamental vibration to scale 1 cm = 10 cm. Find the speed of sound at this case. Draw the first three overtones to the same scale. Give the frequency and wavelength of each and identify the harmonic.

  • One string of a certain musical instrument is 80.0 cm long and has a mass of...

    One string of a certain musical instrument is 80.0 cm long and has a mass of 8.79 g . It is being played in a room where the speed of sound is 344 m/s. To what tension must you adjust the string so that, when vibrating in its second overtone, it produces sound of wavelength 0.756 m ? (Assume that the breaking stress of the wire is very large and isn’t exceeded.) What frequency sound does this string produce in...

  • Name: - Harmonics Worksheet Wave on a String One end of a string with a linear...

    Name: - Harmonics Worksheet Wave on a String One end of a string with a linear mass density of 1.45 . 10-2 kg/m is tied to a mechanical vibrator that can oscillate up and down. The other end hangs over a pulley 80 cm away. The mass hanging from the free end is 3 kg. The left end is oscillated up and down, which will create a standing wave pattern at certain frequencies. Draw the first five standing wave patterns...

  • The A string of a violin is 34 cm long between fixed points with a fundamental...

    The A string of a violin is 34 cm long between fixed points with a fundamental frequency of 440 Hz and a mass per unit length of 6.2×10−4 kg/m . What is the wave speed in the string? What is the tension in the string? What is the length of the tube of a simple wind instrument (say, an organ pipe) closed at one end whose fundamental is also 440 Hz if the speed of sound is 343m/s in air?...

  • Refer to figure 1 and draw the resonance frequency that would be observed for different lengths....

    Refer to figure 1 and draw the resonance frequency that would be observed for different lengths. Figure 1: Modes of vibration for a tube closed at one end, TUBE CLOSED AT ONE END (a) Displacement of air The same tube will also First harmonic fundamental resonate atcertain higher frequencies, called harmonics. The harmonic frequencies of a tube with one open and one closed end are given by 4 140 Third harmonic 4 3 340 =n- Overtones Fifth harmonic -5U 5-4€

  • 1) Show that 0e (the fundamental frequency of vibration) for 23NaF is 536.10 cm. Given that...

    1) Show that 0e (the fundamental frequency of vibration) for 23NaF is 536.10 cm. Given that the anharmonicity constant Oexe is 3.83 cm calculate the frequencies for the first and second overtones of the 0-1 transition.

  • A nylon string is stretched between supports 1.20 m apart Given that the speed of transverse...

    A nylon string is stretched between supports 1.20 m apart Given that the speed of transverse waves in the string is 800 m/s, find the frequency of the fundamental vibration and the first two overtones (JC 15.50) 15. Calculate the fundamental and first three overtones of a hollow pipe 25 cm long and closed at one end (JC 15.63) 16. Two tuning forks are sounded simultaneously. and a beat frequency of 2.0 Hz is heard. If the frequency of the...

  • If a 5.5 m string is fixed at both ends, what is the fundamental resonance frequency...

    If a 5.5 m string is fixed at both ends, what is the fundamental resonance frequency (lowest frequency) of the string? Use 33 m/s for the speed of a wave in the string.

  • A 121-cm-long, 4.00 g string oscillates in its n = 6 mode with a frequency of...

    A 121-cm-long, 4.00 g string oscillates in its n = 6 mode with a frequency of 180 Hz and a maximum amplitude of 5.00 mm. Find (a) the wavelength of 1st, 2nd, and 3rd harmonic; (b) the frequency of 1st, 2nd, and 3rd harmonic; (c) the speed of the wave in the string; (d) the tension in the string. Hint: Draw pictures of the first three harmonics!

  • University Physics I Spring 2019 7. (15 pts) A horizontal string of length L has one...

    University Physics I Spring 2019 7. (15 pts) A horizontal string of length L has one end fixed and the other end free to move vertically (but not horizontally). The relationship between L and the wavelength X for standing waves on the string is _2m +1, (1) where m = 0 corresponds to the fundamental, m = 1 to the first overtone, m = 2 to the second overtone, etc. Suppose the wavelength of overtone m is 9 cm and...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT