I have spent a lot of time on this problem and still can\'t arrive at the correc
ID: 1706312 • Letter: I
Question
I have spent a lot of time on this problem and still can't arrive at the correct answer. I'm about to pull my hair out :( ... I've seen a similar problem posted with different measurements and even when following the way they approached the problem... I can't get it! Please help.... I really want to understand how to solve this problem.A 26-cm-long wire with a linear density of 15 g/m passes across the open end of an 87-cm-long open-closed tube of air. If the wire, which is fixed at both ends, vibrates at its fundamental frequency, the sound wave it generates excites the second vibrational mode of the tube of air. What is the tension in the wire? Assume the speed of sound is 340 m/sec.
Explanation / Answer
f = (1/2L1)((√T)/μ)
f=f2= (3v/4L2)
so
T=μ(T*L1*f)2 =μ(2L1*(3*340/4L2)
= (3*340/4L2)2 * (2L1)2 *μ
plug in your numbers and you should be good to go!