Calculate the centrifugal force on a governor, given the radius of rotation and arm length.

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Question 5.1
To determine the centrifugal force, we first need to find the height of the governor, then its angular velocity.

Step 1: Calculate the height $h$ of the governor.
The radius of rotation $r$, the arm length $L$, and the height $h$ form a right-angled triangle.

$$h = \sqrt{L^2 - r^2}$$ $$h = \sqrt{(0.25 \text{ m})^2 - (0.15 \text{ m})^2}$$ $$h = \sqrt{0.0625 \text{ m}^2 - 0.0225 \text{ m}^2}$$