Friday, August 15, 2008

Can humans run a loop?

Well, partially. Here's how: For some strange reason, an object like a rollercoaster car must be dropped from 2.7 times the radius of the loop in order to complete the loop, as explained here. The instantaneous velocity of a falling object is (16t2)', or 32t. Since an object falls 16t2 ft in t seconds, h=16t2.
h=2.7r
v=32t
∴ 16t2=2.7r
t=v/32
∴ 16⋅v2/1024=2.7r
∴ 2.7r=v2/64
∴ r=v2/172.8
To convert from mph to fps, multiply by 22/15.
So... at 26.7 mph, the fastest recorded human speed, Maurice Greene can run around a loop over 17 feet high. If someone can hit 30 mph going down a hill, then they can make it around a 22 ft loop. Even an average joe chugging at 15 (down a ramp maybe?), then they can have a reasonable 11 ft loop. Those numbers are the diameter, by the way.Status: Plausible.

JUST KIDDING - I just found this - same idea and conclusion, but different (and correct) physics. Oops.

5 comments:

mandachan said...

whatever. ROYALS STILL WON DANGIT!

mandachan said...

DAVID DAVID DAVID DAVID DAVID!!!!! GUESS WHAT I JUST FOUND OUT!!!!
http://kansascity.royals.mlb.com/news/
article.jsp?ymd=20080822&content_id=3
350440&vkey=news_kc&fext=.jsp&c_id=kc
MY WEEKEND IS RUINED!
(and thank you for the mlb.com gift card, btw)

crossy said...

you. are. such. a. dork. i won't admit it, but running a loop is a pretty cool idea, though.

mandachan said...

oh, and hey stupid, in your profile, you spelled the dropkick murphys wrong.

and you yell at me for not posting enough.

The EGE said...

Hey, first comment on my blog from someone other than mandachan! I promise, I'll try to keep this interesting to non-geeks too.