SOLUTION: A scientist recorded the movement of a pendulum for 10 s. The scientist began recording when the pendulum was at its resting position. The pendulum then moved right (positive disp

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Question 1107491: A scientist recorded the movement of a pendulum for 10 s. The scientist began recording when the pendulum was at its resting position. The pendulum then moved right (positive displacement) and left (negative displacement) several times. The pendulum took 4 s to swing to the right and the left and then return to its resting position. The pendulum’s furthest distance to either side was 6 in. Graph the function that represents the pendulum’s displacement as a function of time.
Write an equation to represent the displacement of the pendulum as a function of time.
Graph the function.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+f%28t%29+=+6%2Asin%28+%28+pi%2F2+%29%2At+%29+
Note that if +t=4+ sec, then
+%28pi%2F2%29%2A4+=+2pi+ which is 1 cycle, also,
If +t+=+10+ sec, then +%28+pi%2F2+%29%2A10+=+5pi+
+4pi+ would be 2 cycles, so +5pi+ is
2 and 1/2 cycles
Here's the plot:
+graph%28+400%2C+400%2C+-1%2C+10%2C+-7%2C7%2C+6%2Asin%28+%28pi%2F2%29%2Ax+%29%29+
The vertical is in inches and
the horizontal is in seconds