Yes, but I think it doesn't give a clear choice.Thanks. I'm sure my terminology could use work, but I believe the cue speed-to-weight tradeoff is real. ...
For a 20-ounce cue stick and a 6-ounce ball, the ball will leave the tip at 153.8% of the stick speed if no energy is lost in the collision.
For a 21-ounce cue stick and a 6-ounce ball, you get 155.5% of the stick speed. That's only a 1% increase in speed ratio for a 5% increase in stick weight. If the 21-ounce cue is 1.5% harder to get up to speed, you break even on the cue switch.
If you go to a ten-pound cue stick, you get a ball speed about 193% of the stick speed, but good luck in getting that heavy stick -- 160 ounces -- to move as fast as a 20-ounce stick. In the other direction, with a 6-ounce cue stick, the ball will be going only 100% of the stick speed. You would have to achieve a 54% increase in hand speed to match the 20-ounce stick. If you want to test at the extremes, it's only fair to spend a few hours getting used to the weight.
Note that I have assumed perfect efficiency for the hit. If there is energy lost, it's probably around the same percentage for heavy and light sticks, and the ratios will not change much.
Somewhere in the range of 6 ounces to 160 ounces, there is a weight that gives you the highest ball speed. From very general principles, around the best weight, there will be a fairly broad range of weights, like +- two ounces, that will give you close to the same ball speed. If you go from 20 to 19 ounces and feel there is a huge improvement, there is probably something other than physics and physiology going on.
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