This is the second time I've visited this city.

The ordinal number that follows the first in a sequence.
This is my second chance.
He finished second in the race.
She got the second prize.
second place
second thought
second helping
next
subsequent
following
This is the second time I've visited this museum.

The ordinal number following the first, representing a position in a sequence.
He finished second in the race.
This is my second cup of coffee.
She took the second seat available.
second place
second chance
second thought
next
following
subsequent