How do you find the mass of a vibrating metal wire on a piano?

AI Thread Summary
To find the mass of a vibrating metal wire on a piano, the relevant equation is m = FL / v^2, where F is tension, L is length, and v is the velocity of the wave. The tension is given as 300.0 N and the length of the wire is 3.0 m. The fundamental frequency of 27.4 Hz can be used to find the wave velocity using the relationship v = fλ, where λ is the wavelength. After determining the wave velocity, the mass can be calculated. The discussion concludes with the user successfully finding the equation and the answer.
bobby3280
Messages
11
Reaction score
0

Homework Statement



The longest "string" (a thick metal wire) on a particular piano is 3.0 m long and has a tension of 300.0 N. It vibrates with a fundamental frequency of 27.4 Hz. What is the total mass of the wire? ( in kg)

Homework Equations



The only relevant equation I could find is v = square root of ( FL / m )
or the linear mass density equations

The Attempt at a Solution



I move m to one side leaving m = FL / v^2 and tried velocity of sound 343 m/s but no luck.

This seems to be the only viable equation to me and I either don't know how to convert 27.4 Hz to velocity or am completely lost.

Thanks for any help
 
Physics news on Phys.org
What equations do you have for the frequency of a string under tension?
 
Thanks found the equation and answer.
 
Thread 'Voltmeter readings for this circuit with switches'
TL;DR Summary: I would like to know the voltmeter readings on the two resistors separately in the picture in the following cases , When one of the keys is closed When both of them are opened (Knowing that the battery has negligible internal resistance) My thoughts for the first case , one of them must be 12 volt while the other is 0 The second case we'll I think both voltmeter readings should be 12 volt since they are both parallel to the battery and they involve the key within what the...
Thread 'Trying to understand the logic behind adding vectors with an angle between them'
My initial calculation was to subtract V1 from V2 to show that from the perspective of the second aircraft the first one is -300km/h. So i checked with ChatGPT and it said I cant just subtract them because I have an angle between them. So I dont understand the reasoning of it. Like why should a velocity be dependent on an angle? I was thinking about how it would look like if the planes where parallel to each other, and then how it look like if one is turning away and I dont see it. Since...
Back
Top