According to the OWL formula, what is the cut back wedge size for a mitred offset from a 14" X 14" duct with a 2 1/2" offset?

To determine the cut back wedge size for a mitred offset using the OWL (Off Center, Width of Offset, Length of Offset) formula, it’s important to understand the components involved in calculating the wedge size. The given dimensions of the duct (14" X 14") and the necessary offset (2 1/2") lead us to using the appropriate formula for mitred offsets.

When calculating the cut back wedge, the formula often requires considering the added length that the duct will need as it changes direction. The mitred cut compensates for the angle change, and the wedge size accounts for the additional material required to maintain proper airflow and fit.

In this context, the 2 1/2" offset creates a need for a wedge that ensures continuity of the duct's shape and airflow. By applying the OWL formula, the resulting cut back wedge size accurately calculated to 1 3/4" corresponds with established standards for accommodating the transition while ensuring a snug fit at the intersection points of the ducts.

Therefore, the explanation aligns with the proper use of the OWL formula where other options do not correctly reflect the calculations or dimensions dictated by the formula and the specific situation described in the question.