Physics of a Merry-go-round

Here's the sentence I wrote:

For a 10m carousel spinning at 0.1 revolutions per second, a 1000m/s bullet fired directly at a target in the centre would miss the bull by 16 mm (about half an inch).

I meant a 10m diameter. You read it as 10m radius. No harm, no foul.

...if you also want to sweep under the rug your initial error of an order of magnitude.... :)
 
Yes, I'd almost forgotten about the error I thanked you for pointing out just a few posts ago.
Thank you for pointing it out again.
 
Yes, I'd almost forgotten about the error I thanked you for pointing out just a few posts ago.
Thank you for pointing it out again.

Well, seems that I have to do quite a few corrections to your calculations lately.
 
Yes, you have. An algebraic error, an uncalculated wrong guess, plus a couple of typos, all in under a week.
Not that we're counting, or anything. That would be weird.
 
Is this you trying to line up another "It's rotating compared to an absolute frame!" assertion?

You're no fun. :) I was trying to kill two birds with one stone.

It doesn't need to be solid to do that, not if the angular momentum is right, which planetary formulation helps to do.

Agree.

They're moving with the same angular velocity $$\omega$$ but different linear velocities due to being different distances from the axis of rotation (so provided they aren't at one of the poles). I'll remind you of the high school level relationship between them, $$v = \omega r$$. Changing r changes v. I know this will probably make your nose bleed with complexity but think about it for a while.

Already had the nose bleed and when the situation cleared up I had a clear understanding of gravity, and oh so much more!
 
You're no fun. :) I was trying to kill two birds with one stone.
Already had the nose bleed and when the situation cleared up I had a clear understanding of gravity, and oh so much more!

Don't really understand what you're saying but for some reason I find it funny. :)
 
Kill him with kindness, Pete. BTW, I question the usage of a 10 meter radius carousel (seems large) as well as the rotation speed of once every 10 seconds (seems fast). Just saying we shouldn't be accusing folks of "pulling things out of their asses" when we decide to do the very same thing to prove them wrong...Tach. Even with those suspect parameters the gentleman in the center would still eat a bullet. If we were analyzing the picture in the OP I'd say the proper numbers to use would be 4 meter in radius with a 3 second revolution...I'll eye-ball it at an inch compensation.

My thoughts too - right from the word go.

In any case, let Tach have his 10m merrygoround. It suits his story better. Even so, he'd still end up with a side parting (as opposed to centre) of his bombora. I think he'd look rather fetching :)
 
My thoughts too - right from the word go.

You mean, you two wimps would have a duel on a child merry go round? Do you even realize that at 5m radius, you'd have your rifles "muzzle to muzzle", like in the cartoons with the idiots that have their guns shooting into each other and exploding?:D
 
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You mean, you two wimps would have a duel on a child merry go round? Do you even realize that at 5m radius, you'd have your rifles "muzzle to muzzle", like in the cartoons with the idiots that have their guns shooting into each other and exploding?:D

No, I was concerned about YOUR hairdo only. Don't tell me your hair would explode ???
 
BTW, I question the usage of a 10 meter radius carousel (seems large) as well as the rotation speed of once every 10 seconds (seems fast).

the kids will love it. might need to strap them on though.
 
Maybe. I was just kidding, but CHRIS.Q has been making some really bizarre posts.

I know you were kidding - but seriously, we could strap him to the centre but inverted, and then observe and measure the corriolis effect on those tentacles of his. Tach could do the math.
 
I know you were kidding - but seriously, we could strap him to the centre but inverted, and then observe and measure the corriolis effect on those tentacles of his. Tach could do the math.

Why not? And then we'd have to neuralyze every kid in the playground. :D
 
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