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A skater rotating about a vertical axis pulls her arms inward. Ignoring all frictional effects, which of the following statements are true ? Denote the magnitude of her angular velocity by $ω$ , the magnitude of her angular momentum by $L$ , and her kinetic energy by $E_{k}$ .

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$L$ is constant, $E_{k}$ increases

$L$ is constant, $ω$ increases

$L$ and $E_{k}$ are both constant

$L$ and $ω$ are both constant

answer is A, B.

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Detailed Solution

$L = Iω$

$E_{k} = \frac{1}{2} {Iω}^{2} = \frac{1}{2} \frac{L^{2}}{I}$

$L = const$

$I ↓ E_{k} ↑ ω ↑$

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