Homework Help: Physics

Posted by Tina on Wednesday, July 13, 2011 at 6:16pm.

A string with a linear density of 0.035 kg/m and a mass of 0.014 kg is clamped at both ends. Under what tension in the string will it have a fundamental frequency of 100 Hz?

The correct answer is 270N but I don't know how to get there.

Here are some of the equations we can use but if you know of others feel free to mention them.
T=1/f
f=1/T
v=(square root)F/(m/L)
Fn=nv/2L

Thanks for the help and please indicate which equation you chose if you end up picking one of the ones I have above.

Physics - bobpursley, Wednesday, July 13, 2011 at 9:41pm
freq*lambda= v=sqrt(F/linearmassdensity)

lambda= 2*length= 2* mass/(massdenstiy)
= .028/(.035) meters=.8m

solve for tension F.

100*.8=sqrt(F/.035)

6400*.035=F=224N

recheck my work to see if there is an error, I dont see it.

Answer this Question

Related Questions

Physics - A string with a length of 2.5m resonates in five loops. The string ...
Physics - A string with a length of 2.5m resonates in five loops. The string ...
physics - the force stretching the D string on a certain guitar is 150 N. the ...
Physics - A string of mass m=.1kg is stretched to where its length is L=20m. ...
physics - A string has a linear density of 8.5*10^-3 kg and is under the tension...
physics - an empty rubber balloon has mass 0.0120kg, the balloon is filled with ...
physics - a mass of 5 kg descending vertically,draws up a mass of 3 kg by means ...
physics - a mass of 5 kg descending vertically,draws up a mass of 3 kg by means ...
physics - A 3.2 kg block sits on a frictionless table that has a hole cut in the...
Physics - TWo blocks of massses 20 kg and 8 kg are connected together by a light...

For Further Reading

First Name:
School Subject:
Answer: