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# Physics: Tuning fork, harmonics, transverse waves on a string

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1. A tuning fork is sounded above a (narrow) resonating tube as in lab. The first resonant situation occurs when the water level is 0.08 m from the top of the tube, and the second when the level is at 0.24 m from the top. Let vsound = 340 m/s.

a) Where is the water level for the third resonant point?
b) What is the frequency of the tuning fork?

2. Find the first four harmonics of a hollow pipe 30 cm long, open at both ends. Let v_sound = 340 m/s.

3. A string is stretched between two supports separated by 1.2 m. Given that the speed of transverse waves on the string is 800 m/s, find the frequencies of the first three harmonics.

https://brainmass.com/physics/sound-hearing/physics-tuning-fork-harmonics-transverse-waves-string-400087

#### Solution Preview

1. A tuning fork is sounded above a (narrow) resonating tube as in lab. The first resonant situation occurs when the water level is 0.08 m from the top of the tube, and the second when the level is at 0.24 m from the top. Let vsound = 340 m/s.

a) Where is the water level for the third resonant point?
b) What is the frequency of the tuning fork?

Solution: The tube partially filled with water behaves like a pipe closed at one end. The standing waves formed in such a pipe have frequencies of vibration for different water levels as follows:

For water level of 0.08 m

υ = v/4L = 340/4x0.08 = 1062.5 Hz .......(1)

For ...

#### Solution Summary

The expert examines a tuning fork for harmonics and tranverse waves on a string.

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