Question

Derive first equation of rotational motion.

Answer 1

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Answer 2

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please refer to the pic

consider a hard body rotating about a fixed axis with constant angular acceleration Alpha by definition.

$\alpha = \frac{ \large{d} \tiny{w}}{ \large{d} \tiny{t}}$
$\large{d} \tiny{w} = \large{\alpha } \times \: d \tiny{t}$

after integration.

refer to pic

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