SOLUTION: Write an equation for an alternating current that has a peak amplitude of 36.5 mA, a frequency of 30 Hz, and a phase angle of 63.5o. Round the numbers in your answer to 3 signifi

Algebra ->  Trigonometry-basics -> SOLUTION: Write an equation for an alternating current that has a peak amplitude of 36.5 mA, a frequency of 30 Hz, and a phase angle of 63.5o. Round the numbers in your answer to 3 signifi      Log On


   



Question 1064852: Write an equation for an alternating current that has a peak amplitude of 36.5 mA, a frequency of 30 Hz, and a phase angle of 63.5o.
Round the numbers in your answer to 3 significant digits:
i =

Found 2 solutions by stanbon, ikleyn:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Write an equation for an alternating current that has a peak amplitude of 36.5 mA, a frequency of 30 Hz, and a phase angle of 63.5o.
Round the numbers in your answer to 3 significant digits:
----
Form:: y = a*sin(b(x+(c/b))+d
amp = |a| = 36.5
freq = (360)/b = 30 implies that b = 12
phase = c/a = 63.5 implies c = 36.5*63.5 = 2317.75
d = 0
-------------
Equation::
y = 36.5*sin(12(x+193.15))
------------
Cheers,
Stan H.
-------------

Answer by ikleyn(52864) About Me  (Show Source):
You can put this solution on YOUR website!
.
I = 36.5%2Asin%282pi%2A30%2At+-+%2865.5%2F360%29%2A2pi%29%29.




Plot I = 36.5*sin(2pi*30*t - (65.5/360)*2pi))