Question

In a centrifugal governor, the controlling force is observed to be 14 N when the radius of rotation is 2 cm and 38 N when the radius of rotation is 6 cm, the governor

• A. is a stable governor
• B. is an unstable governor
• C. is an isochronous governor
• D. cannot be said of what type with the given data

Answer 1

The correct option is B is an unstable governor

As r = 2 cm, F = 14 N

r = 6 cm, F = 38 N

F = mr + C

$14=m\times 2+C$

$38=m\times 6+C$

$4m=24$

$\therefore m=6,C=2$

$\therefore$ F = 6r +2 (unstable )