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05282010, 06:32 PM  #1 
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Adjusting Wall Ball Reps: An Output Calculation
I switch gyms frequently, and one thing I can never seem to find is a 20# wall ball. So, I did the output calculations for when I have to use a 16# or 10# ball. I am a 180#, 69" male, but I imagine these calculations are still pretty close for other body sizes. My methodology is below, so you can duplicate my results for your body size if you like.
The bottom line is: If using a 16# ball, do 10% more reps. If using a 10# ball, do 25% more reps. Methodology: I used the Catalyst Athletics output calculator, located here: http://www.cathletics.com/resources/powerOutput.php To find the work output of one wall ball rep, I added together the work output of a weighted squat, and the force acting on the ball as it travels from my face at the top of the squat to the 10' mark (a distance of about 4 and a half feet). Work output of squat portion of rep (from Catalyst output calculator): 20# ball: 237.39 ftlbs 16# ball: 228.6 ftlbs 10# ball: 215.41 ftlbs Work output of remainder of rep: 20# ball: 20# times 4.5 feet = 90 ftlbs 16# ball: 16# times 4.5 feet = 72 ftlbs 10# ball: 10# times 4.5 feet = 45 ftlbs Total work output for one rep: 20# ball: 327.39 ftlbs (237.39 + 90) 16# ball: 300.6 ftlbs (228.6 + 72) 10# ball: 260.41 ftlbs (215.41 + 45) From here it is easy to calcuate the work ratio. 327.39 divided by 300.6 is 1.09. Therefore, 100 20# wall balls is equivalent to 109 16# wall balls. 327.39 divided by 260.41 is 1.26. Therefore, 100 20# wall balls is equivalent to 126 10# wall balls. 
06012010, 12:37 PM  #2  
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Re: Adjusting Wall Ball Reps: An Output Calculation
Quote:
This is cool, thanks for sharing. 

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