How Fast Can a Carousel Spin Safely for Toddlers?

[Alcape]

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

 

[tiny-tim]

Welcome to PF!

Hi Alcape! Welcome to PF!

I'm as confused as you are …

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).

 

[Alcape]

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.

 

[Alcape]

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...

 

[tiny-tim]

Hi Alcape!

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).

(and if that is the right answer, why is the question so complicated … why is it about a carousel? )

 

[Alcape]

I don't know why it's so complicated I didn't make it