Exercise
https://texercises.com/exercise/spannkraft-von-nylonsaite/
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The following quantities appear in the problem: Länge \(\ell\) / Masse \(m\) / Kraft \(F\) / Geschwindigkeit \(v\) / Frequenz \(f\) / Wellenlänge \(\lambda\) / Massenbelegung \(\mu\) /
The following formulas must be used to solve the exercise: \(m = \mu \cdot \ell \quad \) \(\lambda = \frac{\ell}{2} \cdot n \quad \) \(c = \lambda \cdot f \quad \) \(c = \sqrt{\frac{F}{\mu}} \quad \)
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Exercise:
Eine Nylonsaite sei . mm dick cm lang und auf Hz gestimmt. Berechnen Sie die Spannkraft. Nylon hat eine Dichte von .sig/cm^.

Solution:
* &f_ fraccl fracl sqrtfracFmu fracl sqrtfracFArho Rightarrow &F left l f_ right^ tfracpid^ rho left .sim siHz right^ tfracpi left.eesim right^ .eeesikg/m^ uuline.eeesiN *
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\(\LaTeX\)-Code
Exercise:
Eine Nylonsaite sei . mm dick cm lang und auf Hz gestimmt. Berechnen Sie die Spannkraft. Nylon hat eine Dichte von .sig/cm^.

Solution:
* &f_ fraccl fracl sqrtfracFmu fracl sqrtfracFArho Rightarrow &F left l f_ right^ tfracpid^ rho left .sim siHz right^ tfracpi left.eesim right^ .eeesikg/m^ uuline.eeesiN *
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Nylon08Hz280Kraf
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Difficulty
(1, default)
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Language
GER (Deutsch)
Type
Calculative / Quantity
Creator Lie
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