We will see that one complete revolution takes (2π/7) seconds.
How long does it take the valve stem to complete one revolution?
Here we have the function:
f(x) = 33sin(7x−π/12) + 33
The time needed to do a full revolution is given by the period of the function.
Remember that:
sin(x) = sin(x + 2π).
Then:
sin(7x−π/12) = sin(7*(x + T) −π/12)
Then we must have:
2π = 7*T
Where T is the period.
Solving for T, we have:
2π/7 = T
This means that one complete revolution takes (2π/7) seconds.
If you want to learn more about sine functions, you can read:
https://brainly.com/question/9565966
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