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"Progress, therfore, is not and accident,¡K" ..."Herbert Spencer(1820-1903, British philosopher)"

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 Author Topic: Physical Quatities and Units  (Read 24235 times) 0 Members and 1 Guest are viewing this topic. Click to toggle author information(expand message area).
sakuralim
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 « Embed this message on: July 04, 2005, 09:04:11 pm »

Hi everyone ^^
I am very weak at physics, so I hope that someone may help me with these questions

1.  The frequency f of the note produce by a streched string depends on its length l the tension T of the string and the mass per unit lenght m of the string. Use the method of dimension to derive an equation for f.

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*aloha*
Fu-Kwun Hwang
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 « Embed this message Reply #1 on: July 05, 2005, 09:19:30 am »

Because the question assume frequency f depends on tension T, length L and mass per unit lemgth m

Assume the relation is f= TaLbmc
The dimsnsion must be the same on either side of the equation

Dimension for f is 1/t
Dimenswion for T is M L /t2, dimension for m is M/L
1/t = (M L /t2)a Lb M/Lc=Ma+cLa+bt-2a

so -2a=-1 , a+c=0 and a+b=0
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sakuralim
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 « Embed this message Reply #2 on: July 05, 2005, 09:21:23 pm »

thank you HWANG for helping me out.
Now I can understand a little bit. ^^
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*aloha*
johnza
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 « Embed this message Reply #3 on: August 27, 2005, 01:15:00 pm »

i am teacher of physics thanks
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Edward Collin
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 « Embed this message Reply #4 on: December 08, 2010, 10:59:20 am » posted from:Kathmandu,,Nepal

I am also a physics student upto high school, but have never been able to catch these solution. Now I wish to do Bachelor in science, this is somehow helpful for me.
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"Progress, therfore, is not and accident,¡K" ..."Herbert Spencer(1820-1903, British philosopher)"