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Algebra
Question

Example 4: A small windmill has its center \( 6 m ...

Example 4: A small windmill has its center \( 6 m \) above the ground and blades \( 2 m \) in length. In a steady wind, a point \( p \) at the tip of one blade makes a complete rotation in \( 12 s \) . 

a) If the rotation begins at the highest possible point, sketch a graph of the height of the position \( p \) above the ground at time \( t \) . 

b) Write an equation for the function in part a). 

c) What is the height of point \( p \) at \( 5 s \) and \( 40 \) s? 

d) At what time is \( p \) exactly \( 7 m \) above the ground? 

Answer

b. \( T = 125 , w = \frac { 1 } { 6 } \pi \) 

whent \( = 0 , h = 8 m \) 

when \( t = 65 h = 4 m \) 

\( h = 2 \cos ( \frac { 1 } { 6 } \pi t ) + 6\) 

Solution
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