Step 1: Formula for height of Watt's governor.
The height of a Watt's governor is given by the relation \( h = \frac{g}{\omega^2} \), where \( g \) is the acceleration due to gravity and \( \omega \) is the angular velocity.
Step 2: Conclusion.
This is the standard expression used for the height of a Watt's governor.
Final Answer:
\[
\boxed{\frac{g}{\omega^2}}
\]