Step 1: Determine angular displacement of minute hand.
The minute hand completes one full revolution in \( 60 \) minutes, i.e. \( 360^\circ \) in \( 3600 \) seconds.
Step 2: Calculate angular speed.
\[
\omega = \frac{\text{Angular displacement}}{\text{Time}} = \frac{360^\circ}{3600\,\text{s}} = 0.1^\circ/\text{s}
\]
Step 3: Conclusion.
The angular speed of the minute hand is \( 0.1^\circ/\text{s} \).