Calculating Circular Motion: Distance, Speed, Acceleration, and Period [SOLVED]

AI Thread Summary
The discussion revolves around solving a circular motion problem involving a fan that completes 1170 revolutions per minute with a blade radius of 18.0 cm. The key calculations include determining the distance the blade tip moves in one revolution, which is found to be 1.13 meters. The user initially struggled with the formulas for speed and acceleration but eventually figured out how to approach the problem independently. The conversation highlights the importance of understanding circular motion equations, particularly for speed and acceleration. Overall, the thread emphasizes the process of learning and applying physics concepts effectively.
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[SOLVED] Circular Motion

Homework Statement


A rotating fan completes 1170 revolutions every minute. Consider the tip of a blade, at a radius of 18.0 cm. (a) Through what distance does the tip move in one revolution? What are (b) the tip's speed and (c) the magnitude of its acceleration? (d) What is the period of the motion?


Homework Equations


I don't know exactly how to do these problems whatsoever because my professor didn't explain it too well. I know some circular motion formulas such as: a= the square root of ax squared + ay squared = (v squared/r) the square root of cos squared + sin squared = (v squared/r)= v squared/r.


The Attempt at a Solution


I don't even know where to start with this problem or know an equation that includes distance for part (a). It would be great if anyone knew how I could start this problem and if those equations seem right for this problem.
 
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Surely you can attempt (a) at least? What is the circumference of a circle?
 
Yes, I got part (a) to be 1.13 meters (113cm), but what formula do I use to compute both the speed and acceleration?
 
Actually, thank you very much for your help, I ended up trying a few things and figured out how to do this problem on my own.
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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