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Physics-

General

Easy

Question

The equation of a wave is given by y= $10 sin invisible function application open parentheses fraction numerator 2 pi over denominator 45 end fraction t plus a close parentheses$ . If the displacement is 5 cm at t=0, then the total phase at t=7.5s is

$π$
$\frac{π}{6}$
$\frac{π}{2}$

The correct answer is:

$Y equals 10 sin invisible function application open square brackets fraction numerator 2 pi over denominator 45 end fraction t plus a close square brackets$
If t=0, y=5 cm
5=10(sin a)
$sin invisible function application a equals fraction numerator 1 over denominator 2 end fraction$
$a equals fraction numerator pi over denominator 6 end fraction$
If t=7.5 g
Then total phase =
$fraction numerator 2 pi over denominator 45 end fraction cross times fraction numerator 15 over denominator 2 end fraction plus fraction numerator pi over denominator 6 end fraction equals fraction numerator pi over denominator 3 end fraction plus fraction numerator pi over denominator 6 end fraction equals fraction numerator pi over denominator 2 end fraction$

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