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What is the formula of controlling force (Fc) of a governor?

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What is the formula of controlling force (Fc) of a governor?

(a) Fc = n^2 ω r

(b) Fc = m ω r

(c) Fc = m ω^2 r

(d) Fc = m ω r^2

I had been asked this question in homework.

This intriguing question originated from I.C Engine topic in chapter Internal Combustion Engine of Farm Machinery

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Correct answer is (c) Fc = m ω^2 r

To explain: In case of governor running at a steady speed, the inward force acting on the rotating balls is known as controlling force. It is equal and opposite to the centrifugal reaction. The formula of controlling force (Fc) of a governor is Fc= m ω^2 r.

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