Re: Sawstop and high speed contact
wilbur
>I was bored once and ran through the math regarding how much damage could be done if your body was slammed into the SawStop.
The SawStop system stops the blade in 5 ms. My wrist is 3 inches wide. If I was to deliberately chop off my hand on a SawStop, I would have to get those 3 inches through the blade in 5 ms.
If you do the math, you'd have to be hitting the blade at 34 mph to do this.
This is actually a worst case scenario, and is assuming that the blade is cutting with the same efficiency throughout the 5 ms period. Remember, the SawStop mechanism also drops the blade under the table, and the blade is being slowed by the brake, so it probably isn't cutting as well towards the end of the period of contact.
Now let's look at the scenario of getting hit in the stomach with a piece of wood from kickback and falling face first on the blade. For the average person, there's about 3 feet of vertical distance between your head and the surface of the tablesaw.
Suppose the force of the blow was such that you immediately passed out, and you had a dead fall onto the blade. If you drop an object, it takes 0.45 seconds to fall 3 feet. In this time, you'll accelerate to a speed of 4.4 m/s. This works out to 9.8 mph -- much slower than it would take to chop off my wrist on a SawStop. At that speed, you'll travel into the blade only 0.8 inches in the 5 ms it takes to stop the blade. That's still a bad cut, but much better than the alternative. Realize that this estimate of the depth of the cut is exaggerated. The blade will be braking as it slows down in that 5 ms, so that the amount of time that the blade is traveling at a speed sufficient to cut human tissue is even less.
Let's take an even more ridiculous scenario. Let's suspend a woodworker from the ceiling of his shop and drop him directly on a SawStop. In order to chop off a hand at the wrist, he'll have to be going 34 mph when he hits the blade. In a dead fall, it will take him 1.5 seconds of free fall before he reaches that velocity. A dropped object will fall 39 feet in 1.5 seconds. This means that you would have to drop a woodworker from a height of 39 feet onto a SawStop before he develops the velocity needed to chop off a hand at the wrist.
(This is, of course, assuming Earth gravity. Someone else can do the math for woodworkers on Jupiter.)