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The consertvation of energy in a hydraulic system could be understood by the formular (ENERGY = FORCE x DISTANCE) that represents mechanical energy. Now the hydraulic system consist mainly of two set of pistons which are the master where the energy is applied to the system and the slave where energy leaves the system to the load. Irrespective of the force diffence of the master piston and the slave piston, they will always give the same value when multiplied with distance moved by their respective pistons. This prove that the difference in forces experienced or distance moved by the master and slave piston did not alter the amount of energy in the hydraulic system since energy can be seen as force x distance ;)

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Q: How is energy conserved in a Hydraulic system?
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In general Conservation of Energy does not hold internal to a system, it only holds at the boundary of the system. This is where the limits of the system are. Internal to the system energy is not conserved. The situations where the Conservation does not apply is where the force is not zero or the first derivative of energy is not zero.


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