is there a month dedicated to it?
Yes,  June
National Safety Council
In 1996 NSC established June as National Safety Month, aiming to increase awareness of the leading safety and health risks and ultimately decrease the number of unintentional injuries and deaths. 
what is trinity nuclear test? It was the code name of the first detonation of a nuclear device. when did the test start? July 16, 1945. did it have any other code name? No which organizations were involved in it? E-9 group,  National Safety Council, etc. what is the council about? It is a nonprofit, public service organization promoting health and safety in the United States of America. when was the council established? 1913
wiki:5826270
National Safety Council [SEP] National Safety Month
In 1996 NSC established June as National Safety Month, aiming to increase awareness of the leading safety and health risks and ultimately decrease the number of unintentional injuries and deaths. Each week focuses on a specific safety venue: workplace, traffic, home, and community.