#### Answer

$T = \frac{1}{\omega}$

#### Work Step by Step

$V = a~sin~(2\pi~\omega~t)$
We can find the period $T$:
$2\pi~\omega~T = 2\pi$
$T = \frac{2\pi}{2\pi~\omega}$
$T = \frac{1}{\omega}$

Published by
Pearson

ISBN 10:
978-0-13-421743-7

ISBN 13:
978-0-13421-743-7

$T = \frac{1}{\omega}$

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