by mattyj » Sat Feb 18, 2012 5:46 pm
The longer you fall, the faster you're going and the more energy you have. The quicker you stop, the more force you put on the anchor. Your acceleration is determined by (fall length / rope length), which allows us to deal with fall factors when talking about anchor forces. A longer fall at the same fall factor doesn't put more force on the anchor, but it does load that anchor for a longer period of time.
A screamer works by extending your fall length; since you're stopping over a longer distance, forces on the anchor are reduced. If you slip immediately above the anchor and take an 8' fall, a screamer ripping and extending the fall length by 4' has a huge impact on the effective fall factor. If you take a 100' fall and the screamer extends it to 104', not so much.
Reality is messier because the screamer will only affect part of the fall. It will work great until it's done screaming, and then your fall will be back to normal. It will reduce the overall load your anchor sees, but the degree to which it affects the peak load depends on when it deploys, how peaky v. flat forces are during the catch, how the rope stretches during that time, and a lot of other variables. The physics get very messy very fast and I'm not going to pretend to understand it, but the bottom line is that its effectiveness is related, though probably not linearly, to (fall length / deployed screamer length).