2002 Chevy Silverado Clicking Noise on hot days

When I turn on my A/C during hot days, which is usually in high 80's and above degree days, I get a "clicking" noise. I have isolated the noise to A/C unit, for it only makes this noise when I turn on the A/C. This noise is very similar to a noise that we as kids used to produce by attaching a playing card or a thin piece of plastic to the bicycle frame to rub against the bicycle wheel spokes, creating a constant clicking sound. The noise last anywhere from 3 to 7 seconds and I have learned to mitigate the noise by controlling the throttle, either accel or decel. Again, it only makes this noise when the A/C is turned on during very hot days, while it does not usually occur during cooler days when I turn the AC on.

Any expertise advice is much appreciated.

Jesse