But where is the sum of the energy ? what efficiency do you expect ?
Somewhere lost in the first 80 pages
Is the entire mathematical solution
From pendulum start to wind down.
Because the wind resistance of the pendulum
is very small: it has a relatively high efficiency
compared to powering a similar pump directly.
It can be analogous to a belted motor with a 2:1 ratio
The motor makes 1 revolution for every 2 pump cycles.
The pump pulley would be 1/2 the size of the motor pulley.
However, while the energy equation makes these two analogous,
the pump jack uses gravity and flywheel momentum to return the
pump back to the starting position,
making the pump jack more efficient than the belted motor.
Which is why you see pump jacks in all the oil fields.