Calculating Fundamental Frequency and Wavelength of a Vibrating String

AI Thread Summary
To calculate the fundamental frequency of a 90 cm long steel string under 200N tension with a linear density of 1.1g/m, the formula f = 1/2L * sqrt(T/μ) is used. The initial calculation yields a frequency of 7.49 Hz. However, the user realizes that the linear density must be converted from grams to kilograms for accurate results. The speed of sound in air is then applied to find the wavelength, but the initial answer is incorrect due to unit conversion errors. Correcting these units is essential for obtaining the right wavelength of the sound wave.
cupcakequeen
Messages
8
Reaction score
0

Homework Statement



A 90 cm long steel string with a linear density of 1.1g/m is under 200N tension. It is plucked and vibrates at its fundamental frequency. What is the wavelength of the sound wave that reaches your ear in a 20 degree C room?

Homework Equations



f = 1/2L * sqrt T/mu
v = f*gamma

The Attempt at a Solution


1/(2*0.9) * sqrt (200/1.1) = 7.49Hz
v = f*gamma so v/f = gamma; 343m/s/7.49 Hz = 45.78m
but this answer is wrong! Where did I go wrong?
 
Physics news on Phys.org
metric units?
 
yes, all metric
 
what is the metric unit for mass?
 
do I need to convert grams to kilograms?
 
yup. thanks!
 
Thread 'Collision of a bullet on a rod-string system: query'

Thread 'Collision of a bullet on a rod-string system: query'

In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
View full post »
Thread 'A cylinder connected to a hanged mass'

Thread 'A cylinder connected to a hanged mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
View full post »

Similar threads

Waves: fundamental frequency of taut cable
Replies
3
Views
3K
Fundamental frequency of a wire wheel spoke
Replies
2
Views
2K
What Is the Fundamental Frequency of a Modified Stretched Wire?
Replies
6
Views
2K
What Is the Correct Water Level for the Third Resonance in a Closed-Open Tube?
Replies
3
Views
4K
What is the tension of the string needed for a 440 Hz fundamental frequency?
Replies
7
Views
2K
Simple Harmonic Motion/Fundamental Frequency
Replies
5
Views
2K
Resonant Lengths in open air column question
Replies
6
Views
3K
Fundamental frequency if string halved and tension * 4
Replies
1
Views
5K
Which Frequency is NOT Possible for a Vibrating String?
Replies
5
Views
2K
Frequency of a wave at resonance
Replies
14
Views
2K

Hot Threads

Recent Insights

Back
Top