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The height of a windmill blade above the ground (in feet) is given by the functi

ID: 3018989 • Letter: T

Question

The height of a windmill blade above the ground (in feet) is given by the function f where f(k) 18sin(0.7k) 28. Match the following expressions with the appropriate quantity horizontal diameter of windmill fan ground level quantities a height of the blade above ground (in feet) b. height of the horizontal diameter of the fan above the ground (in feet) c. number of seconds elapsed since windmill started rotating d. angle measure rotated from the 3 o'clock position (in radians) e height of the horizontal diameter of the fan above the ground (in radii) f height of the blade above the horizontal diameter of the fan (in feet) g. speed of the blade (in radians per second) h. height ofthe blade above ground (in radii) i height of the blade above the horizontal diameter of the fan (in radii) j speed of the blade (in feet per second) 10.7 18sin(0.7k) + 28 18 sin(0.7k) 0.7k | 28 S.k)

Explanation / Answer

0.7 - g) speed of blade ( in radians per second)

18sin(0.7k) + 28 - a) height of blade above ground (in feet)

18sin(0.7k) - f) height of the blade above horizontal diamter of the fan ( in feet)

0.7k - d) angle measured rotated from the 3 0' clock position ( in radians)

28 - b) height of horizontal diameter of fan above ground(in feet)

sin(0.7k) - i) height of the blade above horizontal diameter of the fan ( in radii)

k - c) number of seconds elapsed since windmill started rotating