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Klaviersaite c

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Level 5 -
Level 6 -

Exercise

https://texercises.com/exercise/klaviersaite-c/

Question

Solution

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Video

\(\LaTeX\)

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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:
Der Instrumental-Ton mit einer Frequenz von f nennen wir c. Wie gross muss die Zugkraft einer l langen Klaviersaite der Masse m sein damit sie diesen Ton als Grundton besitzt?

Solution:
Geg f f ell l lC m m mC GesZug-KraftFsiN Die Wellenlänge des Grundtons ist: lambda ell Eine Klaviersaite ist beidseitig eingespannt für die angegebene Frequenz errechnen wir bei der angegebenen Länge -- analog zu vfracst -- folge Wellengeschwindigkeit: c lambda f ell f lC f c Die Massenbelegung der Saite beträgt: mu fracmell fracmClC mb Damit können wir die Zugkraft bestimmen: F mu c^ fracmell ell f^ mell f^ mb qtyc^ F F mell f^ FTTTT

Meta Information

\(\LaTeX\)-Code

Contained in these collections:

Klaviersaite by TeXercises

1 | 5
Akustik by pw

5 | 12

Asked Quantity: Kraft \(F\) in Newton \(\rm N\)

Attributes & Decorations

Tags	grundschwingung, harmonische, klavier, physik, saite, ton, wellen, wellenlehre
Content image
Difficulty	(3, default)
Points	4 (default)
Language	(Deutsch)
Type	Calculative / Quantity
Creator	uz
Decoration
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Link