A spider is clinging to the tip of a fan blade on a wind far

A spider is clinging to the tip of a fan blade on a wind farm. The fan blade is 23 meters long and rotates 5.2 radians counter-clockwise from the 3 o clock position before coming to a stop.

How many meters is the spider above or below the horizontal diameter of the circle traced out by the tip of the blade when it stops?

Solution

Solution : radius r=23 meters, theta = angle = 5.2 rad.

Vertical distance y = r sin (theta)

Or. y = 23 sin(5.2)

or. y=-20.31 meters

Therefore 20.31 meters below the horizontal diameter. Ans.