Question

How powerful would a series of rail guns or bombs need to be to destabilize a hurricane?

Answer 1

Your 1.6oz piece of wire with a muzzle velocity of 2500fps carries more than 13,000 Joules of energy with it as it leaves the weapon. For comparison, the ever-popular AK-47 firing the 7.62×39mm round at ~2400fps carries only 2100 Joules out of the barrel. The massive difference in energy, despite roughly equivalent velocities, is owed to the huge increase in mass of your projectile -- the bullet fired by the AK-47 weighs in at a mere 0.3 oz.