Mini Golf Windmill: Find Minimum Linear Speed of Ball

[pmd28]

Homework Statement

A golf ball passing through a windmill at a miniature golf course. The windmill has 6 blades and rotates at an angular speed of 1.65 rad/s. The opening between successive blades is equal to the width of a blade. A golf ball (diameter 4.50x10-2 m) has just reached the edge of one of the rotating blades (see the drawing). Ignoring the thickness of the blades, find the minimum linear speed with which the ball moves along the ground, such that the ball will not be hit by the next blade.

Homework Equations

ω=θ/t
v=m/s

The Attempt at a Solution

I don't know how to start this. I drew out a picture and I still can't see how I can relate the equations. And the last guy helping me just stopped.

 

[tiny-tim]

hi pmd28!

the ball is 0.045 m from front to back,

so it needs to go that distance "before the gap has gone past"!

 

[pmd28]

I knew that much, I just couldn't get θ of ω. But I slept on it and figured it out. Thanks