Forums: Climbing Information: Climbing History & Trivia:
Formula for falling
RSS FeedRSS Feeds for Climbing History & Trivia

Premier Sponsor:

 


climbingfreak


May 25, 2004, 6:22 PM
Post #1 of 20 (3177 views)
Shortcut

Registered: May 10, 2004
Posts: 65

Formula for falling
Report this Post
Average: avg_1 avg_2 avg_3 avg_4 avg_5 (0 ratings)  
Can't Post

Whats the formula for falling, as in time you are falling. Just curious.


l0wnsl0


May 25, 2004, 6:29 PM
Post #2 of 20 (3177 views)
Shortcut

Registered: Mar 2, 2004
Posts: 59

Re: Formula for falling [In reply to]
Report this Post
Average: avg_1 avg_2 avg_3 avg_4 avg_5 (0 ratings)  
Can't Post

9.8 m/s^2


overlord


May 25, 2004, 6:33 PM
Post #3 of 20 (3177 views)
Shortcut

Registered: Mar 25, 2002
Posts: 14120

Re: Formula for falling [In reply to]
Report this Post
Average: avg_1 avg_2 avg_3 avg_4 avg_5 (0 ratings)  
Can't Post

time equals square root (2distance/g).

if you use g=9.8 m/s2 you need to mput distance in meters to get time in seconds.


studmuffin


May 25, 2004, 6:37 PM
Post #4 of 20 (3177 views)
Shortcut

Registered: Dec 1, 2001
Posts: 53

Re: Formula for falling [In reply to]
Report this Post
Average: avg_1 avg_2 avg_3 avg_4 avg_5 (0 ratings)  
Can't Post

Time= the square root of twice your distance divided by acceleration.
If you're going to calculate that, make sure everythings in metric. Hope thats what you were looking for!
rock on
Justin


jbell2355


May 25, 2004, 6:48 PM
Post #5 of 20 (3177 views)
Shortcut

Registered: Apr 23, 2004
Posts: 207

Re: Formula for falling [In reply to]
Report this Post
Average: avg_1 avg_2 avg_3 avg_4 avg_5 (0 ratings)  
Can't Post

First of all, we have to assume that you come to a stop by hitting the ground. Otherwise we would have to calculate the amount of time it takes for the rope to stretch which is an unknown.

If you know the distance you've fallen in meters, divide it by 4.9 and then take the square root of the quotient. This will give you the number of meters fallen. For example: you fell 10 meters (about 30 feet).

10/4.9=2.04 sq. rt. of 2.04=1.23 seconds. In other words, you would have 1.23 seconds of free falling b4 you hit the ground.

Someone let me know if you see a flaw in my logic here.


noshoesnoshirt


May 25, 2004, 7:34 PM
Post #6 of 20 (3177 views)
Shortcut

Registered: Jul 24, 2002
Posts: 440

Re: Formula for falling [In reply to]
Report this Post
Average: avg_1 avg_2 avg_3 avg_4 avg_5 (0 ratings)  
Can't Post

square root 2.04 closer to 1.43


organic


May 25, 2004, 7:57 PM
Post #7 of 20 (3177 views)
Shortcut

Registered: Jul 16, 2003
Posts: 2215

Re: Formula for falling [In reply to]
Report this Post
Average: avg_1 avg_2 avg_3 avg_4 avg_5 (0 ratings)  
Can't Post

first take some nice quartzite, a pair of mad rock shoes and some pumpy arms. Add a first time belayer(to keep you nervous) and sweaty palms, combined with an empty chalk bag give you the formula for falling.


jbell2355


May 25, 2004, 8:15 PM
Post #8 of 20 (3177 views)
Shortcut

Registered: Apr 23, 2004
Posts: 207

Re: Formula for falling [In reply to]
Report this Post
Average: avg_1 avg_2 avg_3 avg_4 avg_5 (0 ratings)  
Can't Post

noshoesnoshirt--you're right about the square root...i must have mis-entered a number. I was looking more for verification of my formula than the math, but thanks.


opusxxii


May 25, 2004, 8:20 PM
Post #9 of 20 (3177 views)
Shortcut

Registered: Mar 24, 2003
Posts: 18

Re: Formula for falling [In reply to]
Report this Post
Average: avg_1 avg_2 avg_3 avg_4 avg_5 (0 ratings)  
Can't Post

Simple kinematic equations will provide a close approximate.

x = v0t + (1/2)at^2
a = 2[(x - v0t)/t^2]

where v0 = zero because you are starting from a rest, right?
There are several ways to do this. If you wanted acceleration, that method will yield something very close to 9.8 m/s^2.

If you wanted velocity you might have to do both since this equation requires acceleration.

v^2 = v0^2 + 2ax
v = sqrt(v0^2 + 2ax)
a = 2[(x - v0t)/t^2]
v = sqrt(v0^2 + 2(2[(x - v0t)/t^2])x)

I think.. something like that. Start with the two base equations (x = blah, and v^2 = blah) and do simple algebra to yield whatever variable you want.

EDIT: This is what was said above basically.


noshoesnoshirt


May 25, 2004, 8:22 PM
Post #10 of 20 (3177 views)
Shortcut

Registered: Jul 24, 2002
Posts: 440

Re: Formula for falling [In reply to]
Report this Post
Average: avg_1 avg_2 avg_3 avg_4 avg_5 (0 ratings)  
Can't Post

yep jbell, your math is fine.


Partner j_ung


May 25, 2004, 8:32 PM
Post #11 of 20 (3177 views)
Shortcut

Registered: Nov 21, 2003
Posts: 18690

Re: Formula for falling [In reply to]
Report this Post
Average: avg_1 avg_2 avg_3 avg_4 avg_5 (0 ratings)  
Can't Post

This thread is so not what I thought it would be. :)


bandycoot


May 25, 2004, 8:53 PM
Post #12 of 20 (3177 views)
Shortcut

Registered: Nov 25, 2002
Posts: 2028

Re: Formula for falling [In reply to]
Report this Post
Average: avg_1 avg_2 avg_3 avg_4 avg_5 (0 ratings)  
Can't Post

You can't really calculate it without it becoming really ugly due to the fact that there is wind resistance, rope stretch, maybe you're sliding down a slab or bounce off a ledge, etc.


robgordon


May 25, 2004, 9:09 PM
Post #13 of 20 (3177 views)
Shortcut

Registered: Dec 3, 2003
Posts: 543

Re: Formula for falling [In reply to]
Report this Post
Average: avg_1 avg_2 avg_3 avg_4 avg_5 (0 ratings)  
Can't Post

formula for falling:

you will need:

(1) pounds of .10c finger crack.
(7) metolius tcu's
(1) robgordon
(45) minutes

directions:
carefully mix rob and finger crack, adding in the tcu's gradually.

excessive falling will occur sometime after adding the third or fourth tcu.

Note: also produces precipitate cursing and bleeding, these can be scraped off and discarded if unwanted, but some feel that they enhance the falling.

Note: if falling does not occur after adding all tcu's, your finger crack is soft and you must add a similar amount of higher grade crack. you can substitute 5.11 bolted face climbing for the crack, but this produces a much higher volume of cursing.

good luck.


tedc


May 25, 2004, 9:23 PM
Post #14 of 20 (3177 views)
Shortcut

Registered: Nov 5, 2003
Posts: 756

Re: Formula for falling [In reply to]
Report this Post
Average: avg_1 avg_2 avg_3 avg_4 avg_5 (0 ratings)  
Can't Post

falling=failing


jowanky


May 25, 2004, 9:24 PM
Post #15 of 20 (3177 views)
Shortcut

Registered: Jul 26, 2003
Posts: 151

Re: Formula for falling [In reply to]
Report this Post
Average: avg_1 avg_2 avg_3 avg_4 avg_5 (0 ratings)  
Can't Post

X= Xo + Vo(t) + 1/2 (a) (t^2)


bandycoot


May 25, 2004, 10:42 PM
Post #16 of 20 (3177 views)
Shortcut

Registered: Nov 25, 2002
Posts: 2028

Re: Formula for falling [In reply to]
Report this Post
Average: avg_1 avg_2 avg_3 avg_4 avg_5 (0 ratings)  
Can't Post

^ The problem with the above formula is what the hell is "a"?


jgill


May 26, 2004, 1:57 AM
Post #17 of 20 (3177 views)
Shortcut

Registered: May 18, 2002
Posts: 653

Re: Formula for falling [In reply to]
Report this Post
Average: avg_1 avg_2 avg_3 avg_4 avg_5 (0 ratings)  
Can't Post

Distance (in feet) equals 16 times the square of the time (in seconds). Or time (in seconds) equals 1/4 the square root of the distance (in feet). This simple formula ignores resistance due to air - a freely falling body with initial downward velocity equal to zero. 8^)


Partner pedro_burrito


May 27, 2004, 5:17 AM
Post #18 of 20 (3177 views)
Shortcut

Registered: May 5, 2004
Posts: 142

Re: Formula for falling [In reply to]
Report this Post
Average: avg_1 avg_2 avg_3 avg_4 avg_5 (0 ratings)  
Can't Post

Yes, that is the calculation I remember when sky diving (just once). Using that calculation, you have 13.69 seconds before you bounce if the chute does not deploy. The big but is...the last five seconds do not count because the chute cannot deploy in time so you really have 8 seconds to deploy.

I was in the hangar at this skydiving place in DelMarVa hanging from the rafters practicing cut-aways when someone came on the speaker telling everyone to go inside the hangar. My instructor left me dangling as he ran outside. Someone had bounced.

My jumpmaster later told me that the jumpmaster for the person who bounced forgot to hook up her static line on her first jump. He said she did a perfect arch all the way down. That was 13 very quick or very long seconds.

A Washington, DC TV station did an investigative report on the sky diving facility. They killed more people during the prior 10 years than all other US facilities combined. They had an airtight liability waiver and never lost a lawsuit for negligence. They finally went out of business because the farmers surrounding the facility sued them for crop damages because of all the ambulances and coroner wagons driving around the fields.

I did not know how bad the place was before I jumped. They put us in a Cessna that could barely get off the ground and I was very happy to get the hell out of that plane. Thus ended my skydiving calling. I have turned to a much safer sport. Right?


valeberga


May 27, 2004, 5:33 AM
Post #19 of 20 (3177 views)
Shortcut

Registered: Feb 2, 2003
Posts: 434

Re: Formula for falling [In reply to]
Report this Post
Average: avg_1 avg_2 avg_3 avg_4 avg_5 (0 ratings)  
Can't Post

Well in binary it's f = 1 if you are falling :shock:


overlord


May 27, 2004, 8:48 AM
Post #20 of 20 (3177 views)
Shortcut

Registered: Mar 25, 2002
Posts: 14120

Re: Formula for falling [In reply to]
Report this Post
Average: avg_1 avg_2 avg_3 avg_4 avg_5 (0 ratings)  
Can't Post

In reply to:
Well in binary it's f = 1 if you are falling :shock:


:lol: :lol: :lol: :lol:


Forums : Climbing Information : Climbing History & Trivia

 


Search for (options)

Log In:

Username:
Password: Remember me:

Go Register
Go Lost Password?



Follow us on Twiter Become a Fan on Facebook