SOLUTION: the displacement d (in meters) of an object at time t (in seconds) is given by the following equation: d=3+10cos((3pi/2)t) Question: what is the time required for oscillation

Algebra ->  Trigonometry-basics -> SOLUTION: the displacement d (in meters) of an object at time t (in seconds) is given by the following equation: d=3+10cos((3pi/2)t) Question: what is the time required for oscillation      Log On


   



Question 864761: the displacement d (in meters) of an object at time t (in seconds) is given by the following equation:
d=3+10cos((3pi/2)t)
Question: what is the time required for oscillation? ( i know the answer is 4/3 but why?)

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
the displacement d (in meters) of an object at time t (in seconds) is given by the following equation:
d=3+10cos((3pi/2)t)
Question: what is the time required for oscillation? ( i know the answer is 4/3 but why?)
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Form: y = acos(bx)
Period = (2pi/)b = (2pi)/(3pi/2) = (2pi)(2/(3pi)) = (4/3)
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Cheers,
Stan H.