The acute training variable that accounts for the total time a muscle is engaged during a series of exercises is Time Under Tension.
Essentially time under tension is a term for the time muscles are under the stress of lifting a load. For example, if you complete a set that took 30 seconds, then the total time under tension is 30 seconds.
With this information, we can conclude that the acute training variable that accounts for the total time a muscle is engaged during a series of exercises is Time Under Tension.
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