A thin taut string is fixed at both ends and stretched along the ...

[jessicacav]

A thin taut string is fixed at both ends and stretched along the horizontal x-axis with its left end at x = 0. It is vibrating in its third OVERTONE,
 
  and the equation for the vertical displacement of any point on the string is y(x,t) = (1.22 cm) sin(14.4 m-1)x cos(166 rad/s)t.
  (a) What are the frequency and wavelength of the fundamental mode of this string?
  (b) How long is the string?
  (c) How fast do waves travel on this string?

Question 2

A 1.0-g string that is 0.64 m long is fixed at both ends and is under tension. This string produces a 100-Hz tone when it vibrates in the third harmonic. The speed of sound in air is 344 m/s. The tension in the string, in is closest to
 
  A) 2.8 N.
  B) 2.3 N.
  C) 1.8 N.
  D) 3.4 N.
  E) 3.9 N.

Question 3

Two violinists are trying to tune their instruments in an orchestra. One is producing the desired frequency of 440.0 Hz. The other is producing a frequency of 448.4 Hz.
 
  By what percentage should the out-of-tune musician change the tension in his string to bring his instrument into tune at 440.0 Hz? A) +1.9
  B) -1.9
  C) +3.7
  D) -3.7
  E) +8.4

[Kaytorgator]

Answer to Question 1

This is awesome you took your the time to answer these questions. You have been so helpful.

Answer to Question 2

You just saved me a lot of time.

Answer to Question 3

Great help.

[jessicacav]

Thanks for the timely response, appreciate it

[irishcancer18]

Great answer, keep it coming