MachineCrossbow
Member
- Joined
- May 26, 2011
- Messages
- 57
the speed of rubber is limited - and so is the speed of the ammo
There is a workaround for this. I've been thinking about this, too. The problem is: the elastic energy of the rubber bands transforms into kinetic energy via acceleration. During this, the given energy gets distributed proportionally all over the moving parts of the launch mechanism, the proportionality factor being the mass. I mean, if the overall mass of the projectiles constitutes some 67% of the projectiles+rubber combined, then the projectiles
will have 67% of the given energy. This proportionality is valid, because of the presumption
that parts move at the same speed. In general sense, the energy distribution
is proportional to (velocity)*(velocity)*mass, which only differs by a 1/2 coefficient
from the E=0.5*v^2*m formula of kinetic energy. If your machine was made
such that the rubber bands launch the projectiles through a pulley system, the
balls would go faster, the rubber bands would go slower. According to the
v^2 part of the formula, the waste kinetic energy in the bands would be
"exponentially" less, and the kinetic energy in the balls would be more. In
other words, if launching through a pulley system, the mass of the projectiles
appears to be "bigger" to the bands. By the way, it's kinda reinventing the wheel,
because the compound bows and crossbows use the same principle (pulleys), to
achieve higher performance.