In a physics laboratory experiment, a coil with $220$ turns enclosing an area of $14$ cm$^2$ is rotated in a time interval of $0\mathrm{.}050$ s from a position where its plane is perpendicular to the earth's magnetic field to a position where its plane is parallel to the field. The earth's magnetic field at the lab location is $7\mathrm{.}010^5$ T$.$ What is the magnetic flux through each turn of the coil before it is rotated?