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PHYSICS 109 Lecture Notes - Lecture 6: Standing Wave, Fundamental Frequency, Sound

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orchidraven432
1 Oct 2016
School
UW-Madison
Department
Physics
Course
PHYSICS 109
Professor
Pupa Gilbert

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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

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Related Questions

In a lecture demonstration of standing waves, a string is attachedto a tuning fork that vibrates at 60 Hz and sets up transversewaves of that frequency on the string. The other end of the stringpasses over a pulley, and the tension is varied by attachingweights to that end. The string has approximate nodes at the tuningfork and at the pulley.
(a) If the string has a linear mass density of 8.5 g/m and is 2.9 mlong (from the tuning fork to the pulley), what must the tension befor the string to vibrate in its fundamental mode?
N

(b) Find the tension necessary for the string to vibrate in itssecond, third, and fourth harmonic.
T2 = N
T3 = N
T4 = N

A nylon string has mass 5.50 g and length L = 86.0 cm. The lower end is tied to the floor, and the upper end is tied to a small set of wheels through a slot in a track on which the wheels move (Fig. P18.76). The wheels have a mass that is negligible compared with that of the siring, and they roll without friction on the track so that the upper end of the string is essentially free. Figure P18.76 At equilibrium, the string is vertical and motionless. When it is carrying a small-amplitude wave, you may assume the string is always under uniform tension 1.30 N. (a) Find the speed of transverse waves on the siring, (b) The string's vibration possibilities are a set of standing-wave states, each with a node at the fixed bottom end and an antinode at the free top end. Find the node-antinode distances for each of the three simplest states, (c) Find the frequency of each of these states.

 

A steel wire in a piano has a length of 0.6000 m and a mass of5.100*10^-3 kg. To what tension must this wire be stretched inorder that the fundamental vibration correspond to middle C (fC =261.6 Hz on the chromatic musical scale)?

F=?, L=0.6000 m, m=5.100*10-3 kg, n=0.50031N whereg=9.81m/s2, fc=261.6 Hz

I honestly can not figure out where to begin. I believe this isa standing waves problem so I'm almost positive that it should usethe following equation, but I can not figure out a properderivative or manipulation of the equation to find a seeminglycorrect answer.

fn= (n/2L)*√(F/μ) where n=the number of harmonic(1,2,3...)