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3. Moment of inertia of a flywheel
1. Introduction and theory
$$ mgh = \frac{1}{2} m r^2 \omega^2 + \frac{1}{2} I \omega^2 + n_1 W $$
$$ \frac{1}{2} I \omega^2 = n_2 W \Rightarrow W = \frac{I\omega^2}{2n_2} $$
$$ I = \frac{2mgh - mr^2\omega^2}{\omega^2\left(1+\frac{n_1}{n_2}\right)} $$
$$ \frac{\omega+0}{2} = \frac{2\pi n_2}{t} \Rightarrow \omega = \frac{4\pi n_2}{t} $$
$$ h = 2\pi r n_1 $$
2. Method and data
3. Angular velocity
4. Moment of inertia
5. Discussion and conclusion
- Why does the flywheel come to a stop?
- Why are the 4 measurements of moment of inertia different?
- When does the flywheel reach its maximum velocity?
- What does the standard deviation (numpy.std) of $I$ tell you?
courses/phy101l/3.1698548299.txt.gz · Last modified: 2023/10/28 20:58 by asad