In order to decide the fundamental rule of beating and cleaning actions of machinery, following formula are deduced by dimentional analysis. where 
Ca: cleaning action in %, 
Rbt: trash content % of bale cotton, 
Kc, 
Kp: coefficient of cleaning action and beating power, 
P: beating power in kg-m/sec, 
L: diameter of beater and cylinder in m, 
Q: cotton feed in kg/sec, 
Z: number of blade or striker, 
i: number of line of striker, η: striking effect, 
Sv: specific surface area of cotton tuft based on volume in 1/m, 
n: rotating speed of beater in r. p. s., γ
s, γ
f: specific weight of cotton tuft and air in kg/m
3, 
e: clearance gauge of grid bar and beater in m, θ: arrangement angle of grid bar in deg.
By calculation the coefficient of cleaning and beating are as follows:
[
Kc: 0.10_??_1.3 (HBB) to 0.00068 (FS), 
Kp: 5_??_15 (HBB) to 0.025 (FS)]
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