SOLUTION: The current in an alternating circuit varies in intensity with time. If I represents the intensity of the current and t represents time, then the relationship between I and t is gi

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Question 1125841: The current in an alternating circuit varies in intensity with time. If I represents the intensity of the current and t represents time, then the relationship between I and t is given by
I = 40 sin(110πt)
where I is measured in amperes and t is measured in seconds. Find the maximum value of I and the time it takes for I to go through one complete cycle.
Answer by math_helper(2461) About Me  (Show Source):
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The maximum value of I will be +highlight%28+40++%29amperes. You can see this by noting that sin(X) always outputs a number in the range [-1, 1].

The time for one period is that value of t which gives +110%28pi%29+t+=+2pi+ (angles are in radians).
Solving this for t: +highlight%28t+=+2%2F110+%29sec (about 0.0182 sec or 18.2ms)