Give an example of a looping algorithm from everyday life.

Any closed system or process can be an example of a cyclic algorithm.
In a day 23 hours 56 minutes 4 seconds, and they repeat every time (hello leap year)
Water evaporation: water-heating-evaporation-cooling-precipitation
The hands of the clock run in a circle 24/7 until the battery runs out
P.S. if you delve into physics, then there are no closed systems until a perpetual motion machine is invented