Final answer:
The force required to lift a certain pressure in a hydraulic system depends on the area of the piston. Using the formula Force = Pressure * Area, we can calculate the force needed on both the small and larger piston to lift 1,500 psi.
Step-by-step explanation:
The force required to lift a certain pressure is determined by the area of the piston. In a hydraulic system, the force exerted by the gas on the piston is calculated using the formula:
Force = Pressure * Area
To lift 1,500 psi, we need to convert the pressure to Pascal (Pa) units. 1 psi is approximately equal to 6894.76 Pa. So, to lift 1,500 psi, we have a pressure of:
Pressure = 1,500 psi * 6894.76 Pa/psi
Next, we can calculate the force needed to lift this pressure on the small piston:
Force = 1,500 psi * 6894.76 Pa/psi * 25 cm²
Finally, we can calculate the force needed to lift this pressure on the larger piston:
Force = 1,500 psi * 6894.76 Pa/psi * 250 cm²