Final answer:
To calculate the output force of a hydraulic system, you multiply the pressure by the area of the output piston. With a pressure of 30 lbs and an output piston area of 15 square inches, the output force would be 450 lbs.
Step-by-step explanation:
The question is asking to calculate the output force of a hydraulic system given the pressure and the area of the output piston. According to Pascal's Principle, the pressure in a fluid is transmitted equally in all directions. Thus, the force exerted by the fluid on a surface is given by the product of the pressure and the area of that surface.
With a pressure of 30 lbs and an output piston area of 15 square inches, the output force can be calculated as:
Output Force = Pressure × Area
Output Force = 30 lbs × 15 in2
Output Force = 450 lbs
This means that the hydraulic system would exert an output force of 450 pounds on the output piston.