A hydraulic cylinder has a 125-mm diameter piston with hydraulic fluid inside the cylinder and an ambient pressure of 1 bar. Assuming standard gravity, find the piston mass that will create a pressure inside of 2500 kPa.

Answer: 3002.86kg

Explanation:

Hydraulic cylinder diameter = 125mm

Ambient pressure = 1bar

Pressure = 2500kpa

Piston Mass (MP) = ?

F| (when it moves upward) = PA=F| (when it moves downward) = PoA+Mpg

Po=1 bar=100kpa

A = (π/4) D^2 = (π/4) * 0.125^2=0.01227m^2

Mp = (P-Po) A/g = (2500-100) * 1000*0.01227/9.80665

Mp=3002.86kg.