Question

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.

Answer 1

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: $h=sin(\frac{\pi }{21t} )+28$
• 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