lesorubcheek
Addicted to ArboristSite
Dude, I dont think you even realize it, but you just prooved my point !!
@ 100 feet, the resolution would be within +/- 0.01
@ 1 foot, the resolution is +/- 01.0
Its WAY more accurate with a longer arm, its just a pain in the rump to move around with a 100 foot arm if his scale can handle the load !!!!!!
This one has been discussed alot already, and I'm trying to make sure to undertstand it right. Here's the way I wrapped around it (maybe right, maybe wrong, but for right now it seems to make sense) and thought maybe it'd help to throw this out.
Okay, first, the scale is the measurement tool.... measuring in pounds, plain and simple. Torque is equal to the tangential force (pounds on the scale) multiplied by the lever arm (length of the arm). Next, keep in mind the torque is being produced by the twist from the pump (in turn turned by the saw of course). For simplicity, consider for this little discussion that the torque being produced by the saw and transferred through the pump is constant given the load and RPM.
So, play with what happens with a longer or shorter arm. Start with case of 1 foot arm..... 1 ft-lb torque will cause scale to show a 1 pound measurement... easy to see. Now assume a mod was made to the saw that resulted in a 0.1 ft-lb increase. The scale would be showing 1.1 pounds now, right? This means the scale needs to have an accuracy of 0.1 pounds to accurately show a 0.1 ft-lb increase in torque. If the scale's that accurate, you could see that much improvement and the world is a happy place.
Now figure what happens with a longer arm. Do the extreme case of the 100 ft long arm. Again, twist generated from the pump (originating from the saw of course) is still the same. Use the same torque as before with 1 ft-lb, then the scale will only show 0.01 pounds. Think about that one for a bit..... the scale would need to be 100 times more accurate to show the same granularity as the case of the 1 ft arm! The scale isn't changing here, its also constant. That same 0.1 ft-lb increase in the example above is only gonna equate to 0.001 pounds difference on teh scale! This case with the longer arm is gonna be pretty hard to get a scale sensitive enough to even see the change!
So, figuring I have a scale that ranges say from 0 to 10 pounds or so, is it easier to get a more accurate measurement if I'm weighing a 1 pound weight or a 0.01 pound weight? Odds are I won't even be able to tell the 0.01 pound weight was put on the scale.
So, maybe it's all screwed up in my head, but seems you'll see more resolution in the number read off a scale with the case of a shorter arm.
Dan