Are the automatic watches working only when you have it on your wrist?

Answer 1

Automatic and Manual watch movements basically work based on a spring that is wound and the force of unwinding this spring powers the watch. Now an automatic watch winds the spring with movement. This can be the movement of your hand or shacking the watch back and forth hence the name self-winding movement.

Answer 2

No they work constantly. The watch has a build in computer device that allows it to keep running. Hopes this helps. God bless, take care.