There is probably a module on CPAN that will do something like this. But here is one easy way to do it utilizing mysql. Granted, this method probably is not by any means optimal considering the simple task at hand but it will give you the results you are looking for.
#!/usr/bin/perl -w
use strict;
use DBI;
my $dbh = DBI->connect('DBI:mysql:databasename','user','password') or
+die "Couldn't open database: ". DBI->errstr . "\n";
my $sth = $dbh->prepare("SELECT date_format(?,'%V')");
my $rc = $sth->execute('2003-01-5');
my @temp = $sth->fetchrow_array;
print "WEEK: $temp[0]\n";
exit;
By the way if your week starts on Monday instead of Sunday use this:
my $sth = $dbh->prepare("SELECT date_format(?,'%v')");
Again, let me say that this is not the way to do it but it will work.