How Fast Can a Carousel Spin Safely for Toddlers?

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Homework Help Overview

The discussion revolves around determining the maximum safe turning speed for a carousel designed for toddlers, based on the height from which a child can fall without serious injury. The problem involves concepts from physics related to motion and safety considerations for young children.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants express confusion regarding the missing information necessary to solve the problem, particularly the radius of the carousel. There is mention of centripetal acceleration and its implications for safety. Some participants attempt to apply a formula related to velocity and gravitational acceleration, while others question the interpretation of "turning speed" as potentially referring to angular speed.

Discussion Status

The discussion is ongoing, with participants sharing their thoughts and attempts to understand the problem. Some guidance has been offered regarding the interpretation of the question, but no consensus has been reached on how to proceed due to the lack of critical information.

Contextual Notes

Participants note the absence of the carousel's radius, which is essential for calculating safe speeds. There is also a recognition that the complexity of the question may be unnecessary given the straightforward nature of the physics involved.

Alcape
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Homework Statement


If a designer finds through research of accident reports at a hospital that children
under 5 can usually survive a fall of 1 m without serious injury, what is the
maximum safe turning speed for a carousel to be used by children of this age?


Homework Equations


No Idea


The Attempt at a Solution


I don't know how to start
 
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Welcome to PF!

Hi Alcape! Welcome to PF! :smile:

I'm as confused as you are :redface:

most of the question seems to be missing.

The carousel can be dangerous either because the centripetal acceleration is too much for the brain, or because the child might fall off and hit something.

But, for both, you need to know the radius (and you don't). :confused:
 
Thanks For that tiny-tim I thought their may have been a formula I didn't know of. I appreciate your prompt reply. Thanks again.
 
Thanks for replying I now have an answer If you use the formula v = √(2gs)
where v is the velocity g is the acceleration due to gravity and s is the distance fallen then it comes out to be 4.429m/s...
 
Hi Alcape! :smile:
Alcape said:
Thanks for replying I now have an answer If you use the formula v = √(2gs)
where v is the velocity g is the acceleration due to gravity and s is the distance fallen then it comes out to be 4.429m/s...

Yes, that's a possible answer …

but I suspect when the question says "turning speed", it means angular speed (for which you'd need to know the radius). :redface:

(and if that is the right answer, why is the question so complicated … why is it about a carousel? :confused:)
 
I don't know why it's so complicated I didn't make it
 

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