In a physics laboratory experiment, a coil with $200$ turns enclosing an area of $14$ cm$2$cm$2$ is rotated in a time interval of $0\mathrm{.}040$ ss 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 $7\mathrm{.}0105$ TT$.$

Part A

What is the magnetic flux through each turn of the coil before it is rotated?

Express your answer with the appropriate units.