The equation h = 7 sine (startfraction pi over 21 endfraction t) 28 can be used to model the height, h, in feet of the end of on
1 answer:
The windmill's blade measures 7 feet in length.
<h3>What is an equation?</h3>- An equation is a formula in mathematics that expresses the equality of two expressions by connecting them with the equals sign =.
To find the measure of the windmill's blade:
- We have the equation:
- At the time 't' = 0, the end of the blade is parallel to the ground and pointing to the right, indicating that it is the same height as the other end. (Ф = 0°)
- We may calculate the length of the blade by calculating the greatest height of this end at = 90°.
- We now know that the general model equation of a circular simple harmonic motion is written as follows: y = A sinωt + k
- Where A is the maximum displacement from mean to maximum position
- The angular frequency is ω.
- When eq1 and eq2 are compared:
- A = 7
- As a result, the difference in blade end height at = 0° and = 90° is 7 feet.
Therefore, the windmill's blade measures 7 feet in length.
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The correct question is given below:
The equation h=7sin(pi/21t)+28 can be used to model the height, h, in feet of the end of one blade of a windmill turning on an axis above the ground as a function of time, t, in seconds. How long is the blade? Assume that the blade is pointing to the right, parallel to the ground, at t = 0, and that the windmill turns counterclockwise at a constant rate. 7 feet 14 feet 21 feet 28 feet
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ANSWER
Frequency=2
Midline =3
Amplitude =5
Period =π
EXPLANATION
We have:
The given function is of the form;
where
a=|5| =5 is the amplitude
and b=2 is the frequency.
and 2π/b=2π/2=π
The range of the given function is
8≤y≤-2
The midline is
Taking this example into account, we can see that setting the first value equal to 1, we obtain that 
and 
. Using this information, we find that 
. It shows that when x is positive, the succussive terms are increasing.
Referring to that finding, if we set initial value less than zero, which means that we are solving 0.5x+1<0 and taking a number in the interval of the solution, which means x ∈ (- ∞, -20). Setting x=-19, we find that
and x=-40. In the next iteration, 
. In the next iteration, 
. By this way, we find that even if the initial value is less than zero, value of the successive iterations is increasing.
Using the function
and taking the initial value equal to 4, we find that 
and x=-2. In the next iteration, 
. If we continue the iterations we'll see that they are decreasing.
Setting the initial value equal to 2, we find that
and x=0. The next iteration is 
. In this case, the interations are also decreasing.
If we set the initial value equal to 1, we find that
and x=1. In the next iteration, 
and the iterations are decreasing.
Referring to that finding, if we set initial value less than zero, which means that we are solving 0.5x+1<0 and taking a number in the interval of the solution, which means x ∈ (- ∞, -20). Setting x=-19, we find that
Using the function
Setting the initial value equal to 2, we find that
If we set the initial value equal to 1, we find that