Physics Question from JEE Main 2024 · 30 January, Shift 1

A ceiling fan having $3$ blades of length $80 \, \text{cm}$ each is rotating with an angular velocity of $1200 \, \text{rpm}$. The magnetic field of Earth in that region is $0.5 \, \text{G}$ and the angle of dip is $30^\circ$. The emf induced across the blades is $N\pi \times 10^{-5} \, \text{V}$. The value of $N$ is _____.