Sport: [uncountable] (British English) (North American English sports [plural]) activity that you do for pleasure and that needs physical effort or skill, usually done in a special area and according to fixed rules
There are excellent facilities for sport and recreation.
I'm not interested in sport.
the use of drugs in sport
[countable] a particular form of sport
What's your favourite sport?
a sports club
It seems that US people only use "sports" not "sport".
But why do people (both American & British) say "sports shoes", "sports club", "sports team", "sports bar", "sports facilities", etc?
But "apple juice", "orange juice", "book club"
Why don't they say "sport shoes", "sport club", "sport team", "sport bar", "sport facilities", etc?