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Initially stationary wheel

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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

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Level 5 -
Level 6 -

Exercise

https://texercises.com/exercise/initially-stationary-wheel/

Question

Solution

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The following quantities appear in the problem: Zeit \(t\) / Winkelgeschwindigkeit / Kreisfrequenz \(\omega\) / Winkelbeschleunigung \(\alpha\) / Winkel \(\theta\) /

The following formulas must be used to solve the exercise: \(\gamma = \dfrac{\alpha}{2}t^2+\omega_0 t + \gamma_0 \quad \)

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Exercise:
abcliste abc What is the total angle through which an initially stationary wheel rotates if it is constantly accelerated at aaO during atO? abc How long does it take for an initially stationary wheel to make seventy full revolutions at baO angular acceleration? abc What angular acceleration would an initially stationary wheel have to undergo in order for it to rotate by cgO during ctO? abcliste

Solution:
abcliste abc gamma fracalphat^+ omega_ t fracaa at^ + ag approx agS abc t sqrtfracgammaalpha sqrtfrac bgba bt approx btS abc alpha fracgammat^ frac cgct^ ca approx caS abcliste

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Contained in these collections:

Kinematik der Kreisbewegung 1 by uz

1 | 6
Kinematik Kreis 1. Formel by TeXercises

2 | 19

Attributes & Decorations

Branches	Circular Motion, Kinematics
Tags	kinematik, kreis, kreisbewegung, mechanik, physik, rad, winkelbeschleunigung, winkelgeschwindigkeit
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Difficulty	(1, default)
Points	3 (default)
Language	(English)
Type	Calculative / Quantity
Creator	uz
Decoration
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