Standing waves: Violin String Resonating with concert.

A violin string has a length of 0.350 m and is tuned to concert A, with frequency of A = 440 Hz. Where must the violinist place her finger to play F sharp, with frequency of f sharp = 740 Hz?

If this position is to remain correct to half the width of a finger (that is, to within 0.600 cm), what is the maximum allowable percentage change in the string tension?

Solution Summary

Resonance with a note and allowed change in tension.

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 frequ

The A string on a string bass is tuned to vibrate at a fundamental frequency of 55.0 Hz. If the tension in the string were increased by a factor of four, what would be the new fundamental frequency?

(See attached file for full problem description and figures)
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21.8
The figure shows a standing wave oscillating at 100 Hz on a string.
Part A : What is the wave speed?
21.5
A 40-cm-long tube has a 40-cm-long insert that can be pulled in and out. A vibrating tuning fork is held next to the tube. As the ins

Astronauts visiting Planet X have a 2.40 m-long string whose mass is 5.50 g. They tie the string to a support, stretch it horizontally over a pulley 1.60 m away, and hang a 1.80 kg mass on the free end. Then the astronauts begin to excite standing waves on the string. Their data show that standing waves exist at frequencies of 6

Waves on a particular string travels with a speed of 16 m/s. By what factor should the tension in this string be changed to produce waves with a speed of 32 m/s?

A water wave is called a deep-water wave if the water's depth is more than 1/4 of the wavelength. The speed of a deep water wave depends on its wavelength:
v = sqrt((g.lambda)/2pi).
Longer wavelengths travel faster. Let's apply to this to a standing wave. Consider a diving pool that is 5.0 m deep and 10.0 m wide. Standing w

Please do questions 1-5. Going through this lab, please see data table in second attachment, stringlab2.doc, when tried to solve for V th and the rest everything went wrong. V th never even was close to V average. This is throwing everything off. All data is assumed to be correct, but again V th is off. If cannot read here

Two transverse waves traveling on a string combine to a standing wave. The displacements for the traveling waves are Y1(x,t) =0.0160 sin (1.30m^-1 x - 2.50 s^-1t +.30). Y2(x,t) = .0160 sin (1.30m^-1 x +2.50s^-1 + .70), respectively, where x is position along the string and t is time.
A. Find the location of the first antinod

Problem 21.10
Part A
What are the three longest wavelengths for standing waves on a 171- -long string that is fixed at both ends?
Enter your answers in descending order separated by commas.
ANSWER: , , = Answer not displayed
Part B
If the frequency of the second-longest wavelength is 59 , what is the fr