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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 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.

Sagot :

The windmill's blade measures 7 feet in length.

What is an equation?

  • 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: [tex]h=sin(\frac{\pi }{21t} )+28[/tex]
  • 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.

Know more about equations here:

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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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