In a physics laboratory experiment, a coil with $170$ turns enclosing an area of $11$ 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$.$ What is the magnetic flux through each turn of the coil before it is rotated? What is the magnetic flux through each turn of the coil after it is rotated? What is the average emf induced in the coil?