Author Question: A thin taut string is fixed at both ends and stretched along the horizontal x-axis with its left end ... (Read 173 times)

jessicacav · **on:** Jul 29, 2018

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 · **Reply #1 on:** Jul 29, 2018

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.