Estimate speed range:

The arms of a Porter governor are 25 cm long and pivoted on the governor axis. The mass of each of ball is given as 5 kg & mass on central load of the sleeve is equal to 30 kg. The radius of rotation of balls is equal to 15 cm at what time the sleeve begins to rise and attain a value of 20 cm for the maximum speed. Estimate speed range.

Solution

It is given that:

 Ball weight 'w' = 5 g N

 Central load 'W' = 30 g N

Arm length 'l' = 25 cm = 0.25 m

Minimum radius 'r₁' = 15 cm = 0.15 m

Maximum radius 'r₂' = 20 cm = 0.2 m

For k = 1.

By substituting values in equation (12.4)

ω₁ = 18.5297 r/s   or   N₁  = 176.9 rpm

 ∴         w₂  = 29.396 r/s   or  N₂  = 204.32 rpm

 Speed range = N₂ - N₁ = 27.42 rpm.