If, for whatever reason, console access is not appropriate for you and your non-root users are required access to your system's diskette drive, this can be done using the floppy group. Add the user(s) to the floppy group using the tool of your choice. For example, the gpasswd command can be used to add user fred to the floppy group:
gpasswd -a fred floppy
Now, user fred is able to access the system's diskette drive from the console.