Calculating Minimum Ball Speed for Safe Passage through Rotating Windmill Blades

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Homework Help Overview

The problem involves calculating the minimum speed required for a golf ball to safely pass through rotating windmill blades at a mini golf course. The scenario includes specific parameters such as the angular speed of the blades and the dimensions of the golf ball.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to determine the necessary speed for the golf ball to avoid collision with the blades, raising questions about the timing and spacing involved in the passage.

Discussion Status

Some participants have provided hints regarding the time it takes for the ball to travel a certain distance and the available opening for passage. The original poster expresses gratitude for the assistance and indicates a willingness to attempt the problem.

Contextual Notes

The problem is constrained by the specific dimensions of the golf ball and the rotational speed of the windmill blades, which are critical to the calculations being discussed.

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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