Question

A bug was sitting on the tip of the propeller blade 4 ft. Long when the propeller started to rotate. The bug held on for 3 rotations before flying away. How far did the bug travel before it flew away?

Answer 1

75.39 ft

Explanation:

r = Radius of the circle drawn by the propeller = 4 ft

Circumference of the circle is

`C=2\pi r\\\Rightarrow C=2\pi 4\\\Rightarrow C=25.13\ \text{ft}`

So in one rotation the distance traveled by an ant sitting on the blade tip is 25.13 ft.

Now the ant held on for 3 rotations so distance traveled is

`3* 25.13=75.39\ \text{ft}`

The bug traveled 75.39 ft.