A hydraulic lift is to be used to lift a 2500 kg weight by...

A hydraulic lift is to be used to lift a 2500 kg weight by putting a weight of $25 \mathrm{kg}$ on a piston with a diameter of $10 \mathrm{cm} .$ Determine the diameter of the piston on which the weight is to be placed.

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Pressure and Force Relationship

Pressure is defined as the force applied per unit area. In hydraulic systems, maintaining the same pressure across different pistons means that the forces exerted by the pistons are directly proportional to their areas. This direct relationship allows the design of systems that multiply force, such as hydraulic lifts.

Pascal's Principle

Pascal's Principle explains that when pressure is applied to a confined fluid, it is transmitted equally in all directions throughout the fluid. This principle is the basis for hydraulic systems, where a small force applied on a small-area piston can create a much larger force on a larger-area piston.

Area Ratios in Hydraulic Systems

When using hydraulic systems, the ratio of the input force to the output force is equal to the ratio of the output piston’s area to the input piston’s area. By comparing the areas of the pistons, engineers can calculate the necessary size of one piston to achieve the desired force amplification based on the known force applied to the other piston.

Transcript

Please give Ace some feedback