The steel ball drops the energy of the impact ore from the kinetic energy it reaches at the end. The magnitude of this kinetic energy is determined by the falling height of the steel ball. The speed of the mill determines the falling height of the steel ball, so the method of determining the speed of the mill is directly related to the analysis of the kinetic energy of the falling of the steel ball.
It can be seen from Fig. 1 that the absolute value of the falling height H of the steel ball is
Figure 1 Â The velocity of the ball at the end of the parabolic path and its component
The absolute value is:
[next] Pour Ï… x and Ï… y into the tangent speed Ï… t direction, then
According to the above method, Ï… x and Ï… y are substituted, and after simplification and finishing,
The tangential velocity Ï… 1 and the normal velocity Ï… n are different in the direction and size of different landing points, as shown in Figure 3-2-12. It can be seen from the figure that the greater the rotational speed of the mill, the higher the rise of the same layer of balls and the smaller the angle of departure. When the angle of departure is ,, the speed of the ball is 75%, Ï… t =0, and Ï… n = Ï… P , the tangential speed is changing direction, and the Ï… n of each falling point is known to calculate the impact ore. Kinetic energy
Figure 2 Â Not simultaneously, Ï… P and its sub-speed Ï… n Ï… t changes in rotation speed ball layer
[attached] the derivation of formula (6)
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