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

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Homework Help Overview

The problem involves calculating various aspects of circular motion related to a rotating fan, specifically focusing on the distance traveled by the tip of a blade, its speed, acceleration, and the period of motion.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the calculation of distance in one revolution, the relationship between speed and acceleration, and the formulas applicable to circular motion. Questions arise regarding the correct equations to use and the initial steps to take.

Discussion Status

Some participants have successfully calculated the distance for part (a) and are exploring further calculations for speed and acceleration. There is a sense of progression as one participant reports having figured out the problem independently after initial guidance.

Contextual Notes

The original poster expresses uncertainty about the problem due to a lack of explanation from their professor and mentions specific circular motion formulas, indicating a potential gap in understanding foundational concepts.

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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.
 

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