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Drehendes Rad I

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Level 5 -
Level 6 -

Exercise

https://texercises.com/exercise/drehendes-rad-i/

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:
Ein Rad drehe sich anfänglich mit .radianpersecond. abcliste abc Wie schnell dreht sich das Rad neu wenn es währ .min mit .radianpersecondsquared beschleunigt wird? abc Wie lange würde es bei einer Bremsbeschleunigung von -.radianpersecondsquared dauern bis das Rad auf noch genau eine halbe Umdrehung pro Sekunde abgebremst wurde? %abc Wie stark müsste man das Rad beschleunigen um es innerhalb von .s auf taus Umdrehungen pro Minute zu bringen? abc Um welchen Winkel dreht sich das Rad wenn es nun währ .s mit .radianpersecondsquared beschleunigt wird? %abc Wie stark müsste man das Rad .s lang beschleunigen damit es sich währ dieser Zeit um ang drehen würde? abc Wie lange würde es dauern bis sich das Rad bei einer nun einsetzen Beschleunigung von .radianpersecondsquared um rad gedreht hat? abcliste

Solution:
abcliste abc omega omega_ + alpha t .radianpersecond + .radianpersecondsquared s .eradianpersecond .erps abc t fracomega-omega_alpha frac.radianpersecond-.radianpersecond-.radianpersecondsquared .s abc gamma fracalphat^+omega_ t frac.radianpersecondsquared .s^+ .radianpersecond .s .erad abc t frac-omega_ pm sqrtomega_^ +alphagammaalpha frac-.radianpersecond pm sqrtqty.radianpersecond^ + .radianpersecondsquaredrad.radianpersecondsquared t_ .es s t_ -.es -.s abcliste

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Contained in these collections:

Kinematik am Kreis by pw

2 | 8
Kinematik Kreis 1. Formel by TeXercises

4 | 19

Attributes & Decorations

Branches	Circular Motion, Kinematics
Tags	kinematik, kreis, kreisbewegung, mechanik, physik, winkelbeschleunigung, winkelgeschwindigkeit
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Difficulty	(1, default)
Points	8 (default)
Language	(Deutsch)
Type	Calculative / Quantity
Creator	pw
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