The charging IC is only rated at about 50mA, which means you could, at best, charge your phone with 50mAh of energy.
How much energy does it take to call? My S4 pulls 0.6A @ 5V idling on the home screen with 100% charged battery. Say it takes 60 seconds to boot the phone up & book a cab and power consumption is the same throughout, although in reality if the CPU and radio are in use, the power consumption will be much higher. That would use 7.4mAh @ 3.7V, but "90 seconds of shaking" would only generate 1.25mAh if you could somehow reach the maximum power point of the device.
So their claim that you could make an Uber booking by shaking for 90 seconds is dubious, at best (I smell a rat)
Well... misleading at least. It's entirely possible that the event occurred as they described:
- The ampy was used until fully discharged, battery is cut off by the LTC1540 comparator (with hysteresis!) (battery voltage during discharge load condition would be lower than no-load voltage)
- While not used, the battery chemistry in the Ampy recovered some state of charge, but didn't raise the battery voltage enough to overcome the hysteresis
- shaking the ampy applied a charge voltage at the battery and the LTC1540 which overcame the hysteresis, reconnecting the battery to the boost converter
- enough capacity was left in the battery at this point to charge the phone for the single phone call (phone also will "shut off" before fully discharged to protect battery)
The article was musing about why all the parts are from LT... Easily explained, an LT sales engineer designed the circuit for them