can anyone help me find 't' when v=50 in the following equation please? (including steps)
Thanks in advance!
Stacey Warren - Expert brainly.com
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substitute 50 for v, giving us
divide both sides by 100, giving us
(1/2) = sin(200*pi*t+(pi/4))
with me so far?
next step is to take the arcsin of both sides, which will "undo" the sin on the right side
arcsin(1/2) = 200*pi*t+(pi/4)
re-arrange to solve for t
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cheers @Vocaloid. That's more or less where i got up to, the next step would be to subtract (pi/4) from both sides the divide both sides by 200*pi right?
The other examples which I found on this question had 30+(pi/4). Just trying to find out which is right....
Here's the other example:
then 50V= 100Sin(200*pi*t+0.785)
=30degrees or 0.524rad
200*pi*t= 0.524+0.785 = 1.309
So when V=50v
Time t = 1.309/200*pi = 2.08ms
yeah, your answer looks right to me, I'm not sure how they got 30+(pi/4)
Ah cool. Thanks for that. I'm not exactly a math wizard so wasn't sure if I'd missed a trick somewhere. Have a good day!