Because I was ____ from using the ____, I took a break, leant back and ____ a ____ wing ____.
The sound is:
SAW, and its homophone equivalents...
This satisfies the sentence like so:
Because I was SORE from using the SAW, I took a break, leant back and SAW a SAW-wing SOAR.
In other words, because you had some aches and pains from using your woodworking tools, you had a rest, looked up at the sky, and witnessed a saw-wing bird coasting on the breeze...