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This formula is used to determine the one rep max (how much can you lift once) for a lift (squat, deadlift), based on the weight used and reps performed.

1 rep max = weight + weight x reps x 0.0333

So 15 reps with 100kg would give a 1RM of 149.5 kg.

I want to derive the reps out of this formula.

Ex. How many reps do I need to hit the 149.5 kg rep max with 100kg?

Ivan
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2 Answers2

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Letting $'1 \;rep \;max = RM, \;weight = w, \;and \; reps = r$

$ 1 RM = W + W \times R \times 0.0333$

$1RM - W = W \times R \times 0.0333$

$R = \frac{1RM - W}{W \times 0.0333}$

LogLogLogLogx
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I figured it out. The formula is:

((1 rep max / weight) - 1) / 0.0333

Ivan
  • 105
  • 5