Calculating Minimum Ball Speed for Safe Passage through Rotating Windmill Blades

AI Thread Summary
To ensure safe passage through rotating windmill blades at a mini golf course, the minimum speed of a golf ball must be calculated based on the windmill's angular speed of 1.25 rad/s and the dimensions of the ball, which has a diameter of 4.50 x 10^-2 m. The time it takes for the ball to travel 4.5 cm is crucial, as it determines how quickly the ball must move to avoid being struck by the next blade. The width of the blades and the openings between them also play a significant role in this calculation. By analyzing these factors, one can derive the necessary speed for the ball to safely pass through the windmill. Understanding these dynamics is essential for ensuring player safety at the mini golf course.
mini_mia
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Hi! I'm not sure where to start on this question and I would be very thankful if somebody could help me on it:

At a mini golf course, a golf ball passes through a windmill. The windmill has 8 blades and rotates at an angular speed of 1.25 rad/s. The opening between successive blades is equal to the width of a blade. A golf ball of diameter 4.50 x 10^-2 m is just passing by one of the rotating blades. What must the minimum speed of the ball be so it won't be hit by the next blade?
 
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Hint 1: How long does it take the golf ball to travel 4.5 cm at a given speed?

Hint 2: How long is the opening available for the ball to pass through?
 
Thank you guys for trying to help me! Now I'm going to attempt to do it. :D
 
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