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Salatschleuder

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Why we use chess pieces? Well... we like chess, we like playing around with

\LaTeX

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That being said... How "difficult" is an exercise? It depends on many factors, like what was being taught etc.
In physics exercises, we try to follow this pattern:

Level 1 - One formula (one you would find in a reference book) is enough to solve the exercise. Example exercise

Level 2 - Two formulas are needed, it's possible to compute an "in-between" solution, i.e. no algebraic equation needed. Example exercise

Level 3 - "Chain-computations" like on level 2, but 3+ calculations. Still, no equations, i.e. you are not forced to solve it in an algebraic manner. Example exercise

Level 4 - Exercise needs to be solved by algebraic equations, not possible to calculate numerical "in-between" results. Example exercise

Level 5 -
Level 6 -

Exercise

Physics Mechanics Circular Motion

https://texercises.raemilab.ch/exercise/salatschleuder/

Question

Solution

Short

Video

\LaTeX

Need help? Yes, please!

The following quantities appear in the problem: Zeit

t

/ Länge

\ell

/ Kraft

F

/ Trägheitsmoment

J, \Theta, I

/ Drehmoment

\vec M

/ Winkelgeschwindigkeit / Kreisfrequenz

\omega

/ Winkelbeschleunigung

\alpha

/ Winkel

\theta

The following formulas must be used to solve the exercise:

\gamma = \dfrac{\alpha}{2}t^2+\omega_0 t + \gamma_0 \quad

M = J\alpha \quad

\vec M = \vec \ell \times \vec F \quad

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Exercise:
Eine mit Salat gefüllte Salatschleuder hat JO Trägheitsmoment. Zieht man die rO von der Drehachse entfernt aufgewickelte Schnur vollständig aus so dreht sich der rotiere Teil der Schleuder genau gO-mal. Wie stark müsste man an der Schnur ziehen damit man sie innerhalb von tO komplett abgewickelt hat?

Solution:
Damit sich die Salatschleuder innerhalb von tO genau gO-mal dreht muss man sie mit alpha fracgammat^ frac gqtyt^ a Winkelbeschleunigung in Rotation versetzen. Es wären also M Jalpha J fracgammat^ fracgamma Jt^ J a M Drehmoment notwig womit man mit F fracMr fracfracgamma Jt^r fracgamma Jrt^ fracMr F approx FS FP an der Schnur ziehen müsste. F fracgamma Jrt^ FS FP

Meta Information

$\LaTeX$ -Code

Contained in these collections:

Drallsatz Drehmoment Kreisbewegung 1. Formel by TeXercises

3 | 3
Prüfung 24/25 5PAM Rotation & Translation by uz

7 | 9

Asked Quantity: Kraft

F

in Newton

\rm N

Attributes & Decorations

Branches	Circular Motion
Tags	drehbewegung, drehmoment, drehmomentengesetz, drehung, kreisbewegung, körper, mechanik, physik, rotation, starrer körper, trägheitsmoment, zylinder
Content image
Difficulty	(3, default)
Points	3 (default)
Language	(Deutsch)
Type	Calculative / Quantity
Creator	uz
Decoration
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