A wind generator is 212 feet tall with 116 ft blades attache

A wind generator is 212 feet tall with 116 ft blades, attached at the top of the tower. A bug lands on the tip of one of the blades at the moment that it is passing through the horizontal, going down. if the blades are spinning at the constant rate so that they complete one revolution every 6 seconds. Give the function h(t) which describes the height of the bug t seconds after landing.

Solution

comparing with h(t) =Asin(Bt) +D

wind generator is 212 feet tall => D=212

with 116 ft blades =>A=116

the blades are spinning at the constant rate so that they complete one revolution every 6 seconds

=>2_/B =6

=>B=_/3

bug lands on the tip of one of the blades at the moment that it is passing through the horizontal, going down

=>A is negative

function h(t) which describes the height of the bug t seconds after landing. is h(t) =-(116sin((_/3)t))+212