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Unread 13-09-2007, 03:48
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Re: What is your team up to at your hotel?

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Originally Posted by Otaku View Post
Assuming that the bouncyball weighs a tenth of a pound (or so, .05kg to be precise), dropped from the very top of the atrium to the very bottom...

67.13 Newtons.

That is (assuming I remember correctly) four times the force of a golfball dropped from one meter.

So yeah. It'd hurt. Because golf balls dropped from one meter hurt. But this would hurt more.

EDIT: Whoops! For some reason 40 * 4 = 60 in my brain

but basically it's a lot of force. And would hurt. Even if you take off the 2m or so from the height (assuming it hits a 2m tall person on top of the head) it's still going to hurt.

edit:

that's 2.7m/s, or .1mph.


edit (yes again):

It will take 52 seconds to hit the ground, too.

edit (whee):

I did some more math

here's the full thing:
"A bouncyball dropped from the top of the atrium at the Mariott Marquis, assuming it weighs .05kg, Will hit the ground with a force of 67.13N. The ball falls at a speed of 2.78m/s and will take 52 seconds to hit the ground. Assuming optimal conditions, that's going to be a 132m rebound at 90% efficiency. The ball, dropped from the 47th floor, will get back up to the 42nd floor."
Seems a little off to me....

Acceleration of the ball would be 9.8 m/s/s.

I've never been there.... so 47 floors I'm assuming is 705 ft (15*47), which is ~215 m. So, integrating the velocity shows that it hits 215m at 6.6 seconds.

I'm betting my guesstimation of height is off... but it's a closer approximation of time at least.

I'm too tired to finish.... I'll let Otaku take over from here and come up with the energy; goodnight everyone.


EDIT: forgot terminal velocity. It hits 54m/s after 5.5s and has traveled 148m, leaving 67 to go. So add 67m / 54m/s and you get a total of 6.75 s at 54m/s (my old calc, physics and chem teachers would kill me for all the approximations and random rounding).

Last edited by AdamHeard : 13-09-2007 at 03:58.
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Unread 13-09-2007, 15:06
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Re: What is your team up to at your hotel?

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Originally Posted by AdamHeard View Post
Seems a little off to me....

Acceleration of the ball would be 9.8 m/s/s.

I've never been there.... so 47 floors I'm assuming is 705 ft (15*47), which is ~215 m. So, integrating the velocity shows that it hits 215m at 6.6 seconds.

I'm betting my guesstimation of height is off... but it's a closer approximation of time at least.

I'm too tired to finish.... I'll let Otaku take over from here and come up with the energy; goodnight everyone.


EDIT: forgot terminal velocity. It hits 54m/s after 5.5s and has traveled 148m, leaving 67 to go. So add 67m / 54m/s and you get a total of 6.75 s at 54m/s (my old calc, physics and chem teachers would kill me for all the approximations and random rounding).
I thought it over (and talked to our team leader who is also the freshman physics teacher and teaches this stuff) and you've got a point. I didn't take into account the acceleration and such. The Atrium is 147m tall, 47 stories, that's just about 3.1m/story.

I'll dig up my freshman science notebooks and look up the formulas.

Also, I didn't take into account wind resistance because I do my physics calculations in happy go lucky fun time physics land. Where resistance is nonexistant.
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Unread 13-09-2007, 17:59
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Re: What is your team up to at your hotel?

Quote:
Originally Posted by Otaku View Post
I thought it over (and talked to our team leader who is also the freshman physics teacher and teaches this stuff) and you've got a point. I didn't take into account the acceleration and such. The Atrium is 147m tall, 47 stories, that's just about 3.1m/story.

I'll dig up my freshman science notebooks and look up the formulas.

Also, I didn't take into account wind resistance because I do my physics calculations in happy go lucky fun time physics land. Where resistance is nonexistant.
Okay, now that I know the real height of 147m. It would hit after 5.48 seconds traveling 53.67m/s (which is only .33m/s from terminal velocity).

I don't need to calculate the energy on that, I know it's gonna hurt

EDIT: Gotta agree with ya about resistance..... World would be so much easier if we just forgot about that
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Unread 13-09-2007, 19:12
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Re: What is your team up to at your hotel?

My original calculation wasn't off, I got 67N last time, 72N this time.

AdamHeard, care to share how you did your calculations? Brushing up wouldn't be a bad idea.
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Unread 13-09-2007, 19:20
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Re: What is your team up to at your hotel?

Quote:
Originally Posted by Otaku View Post
My original calculation wasn't off, I got 67N last time, 72N this time.

AdamHeard, care to share how you did your calculations? Brushing up wouldn't be a bad idea.
I just used my ti-84 to be honest

I integrated the acceleration of 9.8m/s/s to get a velocity as 9.8(x) m/s.

I then graphed the integral of that (position) and just saw where it intersected a horizontal line that was the distance traveled. That gave the time to travel that distance; From there the speed was as easy as putting that time into the velocity equation above.

It's all really basic calculus. So, if you haven't taken it yet, don't worry; you'll get it really fast once you do.
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Unread 30-09-2007, 11:26
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Re: What is your team up to at your hotel?

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Originally Posted by AdamHeard View Post
I just used my ti-84 to be honest

I integrated the acceleration of 9.8m/s/s to get a velocity as 9.8(x) m/s.

I then graphed the integral of that (position) and just saw where it intersected a horizontal line that was the distance traveled. That gave the time to travel that distance; From there the speed was as easy as putting that time into the velocity equation above.

It's all really basic calculus. So, if you haven't taken it yet, don't worry; you'll get it really fast once you do.

Wow. I had forgotten about this thread.
Just promise me that once you have this all figured out, you won't try to test it out in 2008
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Unread 01-11-2007, 19:35
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Re: What is your team up to at your hotel?

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Originally Posted by RoboMom View Post
Wow. I had forgotten about this thread.
Just promise me that once you have this all figured out, you won't try to test it out in 2008
Although that would make an awesome YouTube video and Mythbusters episode! Sounds to me like there's as much fun in the hotels as the actual event. We aren't paying to go this year, but I'm hoping we play our way in. Last student year for me, and I want to enjoy Championships before converting into a college NEM.
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Unread 20-09-2007, 13:03
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Re: What is your team up to at your hotel?

Everything from late night drive team meetings with our scouts , to me " networking " ... well just talking to and making connections with other teams
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