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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

 Mar 13, 2020
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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

give me a like!

Thx

 Mar 13, 2020

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