This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.

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\sqrt{L^2 - r^2}$.
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Question 5.1 To determine the centrifugal force, we first need to find the angular velocity (). For a Watt governor, the height of the cone formed by the arms is related to the radius of rotation and arm length by the Pythagorean theorem, and to the angular velocity by the governor's equilibrium condition.
Step 1: Calculate the height of the governor. The radius of rotation , the arm length , and the height form a right-angled triangle, so .
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--- Question 5.1 To determine the centrifugal force, we first need to find the angular velocity ().
This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.