What FAA regulation governs the operation of a 33 lb. sUAS for capturing aerial imagery?

The operation of a small Unmanned Aircraft System (sUAS) for purposes such as capturing aerial imagery is governed by 14 CFR Part 107. This regulation specifically regulates the use of sUAS under 55 pounds for commercial purposes, which includes activities like aerial photography and videography. Part 107 outlines the requirements for obtaining a remote pilot certificate, operational limitations, and safety protocols that must be followed when operating sUAS.

The other parts of the CFR mentioned are tailored for different types of aviation operations. For instance, Part 91 relates to the general operating and flight rules for all aircraft not covered under specific commercial regulations, Part 121 governs scheduled air carriers and their operations, and Part 135 pertains to commuter and on-demand operations. Since sUAS operations for commercial purposes fall directly under Part 107, it is the correct regulatory framework for the situation presented in the question.