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murderouslyrics

Post subject: Trying to measure how far my potato cannon shoots. Posted: Fri Jul 06, 2012 3:17 am 

Joined: Thu Jun 07, 2012 8:05 pm

Where should I go to do it? A football field is definitely too small. The only marked land I can think of would be a driving range and I think of golf as being a highSES sport, so I wouldn't imagine the owners would let me shoot it there, even if it were after hours.
Thoughts?
_________________ YO WUDDUP GRAPE ICE CREAM


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Gus

Post subject: Re: Trying to measure how far my potato cannon shoots. Posted: Fri Jul 06, 2012 5:00 am 

Joined: Sun Mar 15, 2009 12:00 am Location: Jarrow, England


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RubixFreakGreg

Post subject: Re: Trying to measure how far my potato cannon shoots. Posted: Tue Jul 10, 2012 1:03 pm 

Joined: Sat Jan 16, 2010 11:48 am Location: In Front Of My Teraminx (saying WTF?)

Try shooting vertically and evaluating how long it takes to reach maximum height.
a=g v=v0gt0
max height: v=0
v0=gt0
So take your time, multiply it by 9.8 and you have the initial speed.
We will neglect the fluid resistance and stuff to make it easier and with air all around, you will get a more or less good approximation.
Now when you shoot it with an Ô angle from the ground, the trajectory will be:
a=g v(t)=v0cos(Ô)gt x(t)=x0+v0cos(Ô)t(1/2)gt²
x0=0 from your point of view so:
x(t)=v0cos(Ô)t(1/2)gt²
now we have to find t(max) so that x(t)=0
Delta=v0²cos(Ô)² s=(b+sqrt(delta))/2a s=2b (since delta is b²)/2a s=b/a
t(max)=v0cos(Ô)/(1/2)g t(max)=2t0cos(Ô)
so after t(max)=2t0cos(Ô), the potato touches the ground again
On the horizontal axis, the potato moves v0cos(Ô)t, so if we replace:
(xi is on the horizontal axis) xi(max)=v0cos(Ô)2t0cos(Ô) xi(max)=2t0v0cos(Ô)²=2t0gt0cos(Ô)²
xi(max)=19.6t0²cos(Ô)²
The distance at which the potato lands from you is :
xi(max)=19.6t0²cos(Ô)²
with t0 the time it takes to reach its high point when shot vertically and Ô the angle at which you shoot the potato with from the ground
Have fun !! =D
_________________ My Shapeways Shop! My Designs My Official Results My Website on Twisty Puzzles with Gears
Grégoire Pfennig


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KelvinS

Post subject: Re: Trying to measure how far my potato cannon shoots. Posted: Tue Jul 10, 2012 1:09 pm 

Joined: Mon Mar 30, 2009 5:13 pm

@ RubixFreakGreg: Clever stuff, I like the way you think. Mind you, it would probably be a lot more fun just to smash it into things, see how much damage can be done...
_________________ If you want something you’ve never had, you’ve got to do something you’ve never done  Thomas Jefferson


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RubixFreakGreg

Post subject: Re: Trying to measure how far my potato cannon shoots. Posted: Tue Jul 10, 2012 1:44 pm 

Joined: Sat Jan 16, 2010 11:48 am Location: In Front Of My Teraminx (saying WTF?)

well if we're talking smashing you can always calculate drag, but it's out of my league to post something correct, so in short range you get v=v0, which could go from 50 to 900 (world record, 3 times faster than sound) m/s which is basically, for a 200g potato: 1/2*0.2*v0²=0.1v0² J of kinetic energy.
So for 50900 m/s, you get Ec (kinetic energy, but i'm french so sorry for the different letters ^^) varying from Ec(min)=5 J to Ec(max)=90 J
The strength of your potato launcher is equivalent to the strenght of ________ at __ to __ [unit of speed]
Queen Mary 2: 0,0002570.00109 m/s Electron: 4.68*10^103.31*10^15 times the speed of light Car: 0.10.4243 m/s
I like those stats ^^
_________________ My Shapeways Shop! My Designs My Official Results My Website on Twisty Puzzles with Gears
Grégoire Pfennig


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murderouslyrics

Post subject: Re: Trying to measure how far my potato cannon shoots. Posted: Thu Jul 19, 2012 3:07 am 

Joined: Thu Jun 07, 2012 8:05 pm

I just got a pedometer. It goes an avg of about 400ft
_________________ YO WUDDUP GRAPE ICE CREAM


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