<p>A 10 kg engine is rotating at the rate of 20 rad/sec about a point on a wire 3 meters in length with a working tensile strength of 1.8x10^6 N. The engine is fired and produces an acceleration of 1 rad/s^2. How long should the engine be fired to reach the maximum possible omega? What is the maximum possible omega (What is the fastest omega which doesn't break the wire)? How far will the engine travel in meters while it is accelerating to the maximum possible omega?</p>