I believe that 24 h fasting is enough for significant depletion of glycogen. I can't be probably complete depletion, because gluconeogenesis will be activated. I have a paper related to the topic, maybe it would be interesing to take a look.
http://www.sciencedirect.com/science/article/pii/S0306987714000206
I believe that it will take up to 24 hours. However comlete depletion may not be reached because of gluconeogenesis activation. Physical activity may decrease this time dramatically.
http://www.sciencedirect.com/science/article/pii/S0306987714000206
This paper might be useful:http://www.ncbi.nlm.nih.gov/pubmed/?term=rothman+1991+liver+glycogen
Seems to stabilise at 40-50 h of fasting in humans.
About arms exercise, how much exercise time is necessary to deplete liver glycogen?
With cycling (legs) exercise, liver glycogen can be substantially depleted within 2 hours of high-intensity exercise https://www.ncbi.nlm.nih.gov/pubmed/27436612
It depends on the physical activity. If the person is in rest it may take 48 hours fast
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