Efficiency of hydraulic press from force and height¶

A real hydraulic press is never \(100%\) efficient due to friction and other energy losses. Its efficiency is the ratio of the useful work (given by the product of output force and the height of the output side) to the expended work (given by the product of input force and the height of the input side).

output_force¶: Output force.

Symbol:: F_2
Latex:: \(F_{2}\)
Dimension:: force

output_distance¶: euclidean_distance covered by the output piston.

Symbol:: d_2
Latex:: \(d_{2}\)
Dimension:: length

input_force¶: Input force.

Symbol:: F_1
Latex:: \(F_{1}\)
Dimension:: force

input_distance¶: euclidean_distance covered by the input piston.

Symbol:: d_1
Latex:: \(d_{1}\)
Dimension:: length

efficiency¶: mechanical_efficiency of the hydraulic press.

Symbol:: eta
Latex:: \(\eta\)
Dimension:: dimensionless

law¶

eta = F_2 * d_2 / (F_1 * d_1)

Latex:: \[\eta = \frac{F_{2} d_{2}}{F_{1} d_{1}}\]