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https://texercises.com/exercise/zeit-fur-umdrehungen-4/
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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:
Ein Rad mache anfänglich alle TO eine volle Umdrehung. Wie lange würde es dauern bis das Rad bei einer nun einsetzen Beschleunigung von .radianpersecondsquared genau gO volle Umdrehungen gemacht hat?

Solution:
t frac-omega_ pmsqrtomega_^ - fracalpha -gammafracalpha frac-wz pm sqrt qtywz^ - fracalp -g fracalp t_ ta approx taS taP t_ tb approx tbS tbP
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Exercise:
Ein Rad mache anfänglich alle TO eine volle Umdrehung. Wie lange würde es dauern bis das Rad bei einer nun einsetzen Beschleunigung von .radianpersecondsquared genau gO volle Umdrehungen gemacht hat?

Solution:
t frac-omega_ pmsqrtomega_^ - fracalpha -gammafracalpha frac-wz pm sqrt qtywz^ - fracalp -g fracalp t_ ta approx taS taP t_ tb approx tbS tbP
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Attributes & Decorations
Asked Quantity
Branches
Circular Motion, Kinematics
Tags
kinematik, kreis, kreisbewegung, physik, winkelbeschleunigung, winkelgeschwindigkeit
Difficulty
(1, default)
Points
2 (default)
Language
GER (Deutsch)
Type
Calculative / Quantity
Decoration
Content image