The sinusoidal function f(x)=48sin(6x−π/9)+48 models the height, in centimeters, that a valve stem of the a tire is above ground x seconds after the tire begins to rotate.
How long does it take the valve stem to complete one revolution?
answer needs to be ounded to the nearest hundredth of a second
The generic form of a sinusoidal function is:
f(x) = A sin(2π/T x + B) + C
where A is the amplitude,
T is the period (time per revolution),
B is the horizontal offset (or phase shift),
and C is the vertical offset (or midline).
2π/T = 6
2π = 6T
T = π/3
T ≈ 1.05 s
The Answer is 1.05 sec
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