Explain the design considerations for a flywheel rotor, including material selection, shape, and balancing techniques. Discuss the factors that affect the maximum achievable energy storage capacity.

Flywheel rotors are essential components in energy storage systems, designed to store kinetic energy for later use. The design of a flywheel rotor involves several critical considerations, including material selection, shape, and balancing techniques, all of which influence its efficiency, performance, and energy storage capacity.

Material Selection:
The material used for a flywheel rotor plays a significant role in its energy storage capacity and operational efficiency. The primary material consideration is the rotor’s ability to withstand high rotational speeds without experiencing failure or excessive wear. High-strength materials with excellent fatigue resistance are necessary to handle the high-stress levels generated by rapid spinning. 

Commonly used materials include carbon fiber composites, steel alloys, and advanced metals such as titanium and aluminum. Carbon fiber composites are particularly favored for their high strength-to-weight ratio, which allows for lighter _____ _______ ____ ___ _______ ______ __________ _____ __________.
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