A paddle on an antique windmill needs to be visually inspected by a repairmen while the windmill is operating. The paddle can be seen by the repairman when it is at a height of 1.9m on its downward path. If the height of the paddle can be represented by the function, y=1.2764 sin(1.2592x-0.01458)+1.597448, where y is the height of the paddle in meters and x is the time in seconds, the repairman will see the paddle for the third time at _____ seconds?
2 answers
About 3.41 seconds.
Hmmm. I may be wrong, but I get
1.2764 sin(1.2592x-0.01458)+1.597448 = 1.9
1.2764 sin(1.2592x-0.01458) = 0.31
sin(1.2592x-0.01458) = 0.24
1.26x - 0.015 = 0.25
1.26x = 0.265
x = .196
On the downward track, that means x = pi-1.96 = 2.95
That's the first appearance. Add 4pi to that for the 3rd time.
Looks like it's up to you, sam, to check my work.
1.2764 sin(1.2592x-0.01458)+1.597448 = 1.9
1.2764 sin(1.2592x-0.01458) = 0.31
sin(1.2592x-0.01458) = 0.24
1.26x - 0.015 = 0.25
1.26x = 0.265
x = .196
On the downward track, that means x = pi-1.96 = 2.95
That's the first appearance. Add 4pi to that for the 3rd time.
Looks like it's up to you, sam, to check my work.
2 answers