The snap of a whip

[drjustian]

There is a 'snap' in the air when a whip is used. The energy created at the larger dimension of the handle does not increase along the whip to the 'snap' end of the whip (otherwise we would have some potential for perpertual motion). So the resulting magnitude of energy at the end of the whip (with the smaller dimension ) than the handle is the same, or lesser than, the magnitude of energy at the handle end. What is the formula for describing the magnitude of the energy force at each point along the whip from the handle to the small end of the whip? The relevant factors, I believe, may include the diameter of the handle, the diameter of the final 'snap' point, the initial energy used to begin the energy travel along the whip. The points along the whip to be measured or explained are arbitary (one cm, one inch, whatever) apart. The initial energy is also arbitrary though we know (dont' we?) that the more energy the louder the 'snap'. However, regardless of the intial energy at the handle, and regardless of the distance between arbitary points along the whip, What formula can be used to establish energy measurment that can be transformed to any inertial system and used in any inertial system. Understand that the 'effect' of energy may be different at each of the arbitrary points even though the magnitude of energy may be the same (or decreasing) at all points along the whip.