IP A circular coil with a diameter of $22\mathrm{.}2$ cmcm and $154$ turns rotates about a vertical axis with an angular speed of $1190$ rpmrpm $.$ The only magnetic field in this system is that of the Earth. At the location of the coil, the horizontal component of the magnetic field is $3\mathrm{.}58105$T$3\mathrm{.}58105$T$,$ and the vertical component is $2\mathrm{.}85105$T$2\mathrm{.}85105$T$.$