Depends on if it's the older freewheel type rear hub or the newer cassette style rearl hub. Cassette hubs can take 9 tooth I believe, while the smallest freewheel is 15 or so.
Depends on the hub. A cassette hub will go down to 9T. Standard freewheel is 16T, but there are a few that go to 14 and 15.
they now make 8 tooth cassette hubs and 22 tooth sprockets to work for them. so 22 is the smallest out there so far
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Yes. A smaller sprocket will have the rear wheel move more in relation to the cranks than a bigger sprocket. This will make pedalling heavier, but it will also make you go faster, if you're strong enough to keep the cranks turning.
Asking for the best size sprocket is like asking for the best size shoe - you get one that fits you, or in this case - your riding.
Do you want to go faster, but can't spin the cranks any faster? Get a smaller one. Do you feel like it's hard to get the bike moving? Get a bigger one.
Depends.
If you have strength left, but can't turn the pedals any faster, then a smaller sprocket can make you faster.
But if you think you could spin faster, but not any harder, then a bigger sprocket might make you faster.
Asking for the best size sprocket is like asking for the best size shoe - you get one that fits you, or in this case - your riding.
Do you want to go faster, but can't spin the cranks any faster? Get a smaller one. Do you feel like it's hard to get the bike moving? Get a bigger one.