Mouvement circulaire uniformément accéléré

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Cegep1

Mechanics

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115 words

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1 minute

Mouvement de révolution 2D avec des accélérations centripète et tangentielle dont les modules sont constants
MCU + accélération tangentielle
Abbr. MCUA

$$\begin{array}{rl}\overrightarrow{a}& =\overrightarrow{a_c}+\overrightarrow{a_t}\\ a& =\sqrt{a_c^2+a_t^2}\\ a_t& =\frac{dv}{dt}\end{array}$$

[!example]- ${\omega }_0=3.4\frac{rad}{s},\theta =1.25\ast 2\pi =2.5\pi rad,\alpha =?,t=?$

$$\begin{array}{rl}{\omega }^2(t)& ={\omega }_0^2+2\alpha (\theta -{\theta }_0)\\ 0& ={3.4}^2+2\alpha (2.5\pi -0)\\ a& =-0.7359\dots \frac{rad}{s^2}\end{array}$$$$\begin{array}{rl}\omega (t)& ={\omega }_0+\alpha t\\ 0& =3.4-0.7359\dots t\\ t& \approx 4.620s\end{array}$$

Contributors

Ajitani Hifumi

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