Question

what mechanical advantage does a hydraulic press have when punching holes in a metal sheet with a force of 800N using only 200 N? provide your answer as a ratio.​

Answer 1

Answer:

To calculate the mechanical advantage of a hydraulic system

[LO 2.3]

An example of a simple hydraulic system is a hydraulic lift which is used to lift motor-cars. The system has a mechanical advantage of both power input and distance output.

The system consists of two pistons of different sizes, connected by a reservoir that is filled with a hydraulic liquid such as oil or water.

Mechanical advantage – force multiplication:

A smaller input force on the small piston results in a greater output force on the large piston so that there is a mechanical advantage.

The input force is called the effort and the output force is called the load.

The advantage is made possible by two characteristics of liquids, namely that they cannot be compressed and that they distribute pressure equally.

This principle is called Pascal’s principle.

The pressure at piston A is equal to the pressure at piston B.

Pressure is calculated as force per area.

Pressure cylinderA=Pressure cylinderBForceAAreaA=ForceBAreaB

The following formula can be used to calculate the mechanical advantage:

Mechanical force advantage=load(output force)effort(input force)

Mechanical advantage – distance output:

In the syringes the piston with the large diameter will have a smaller distance out­put, and the piston with the small diameter will have a larger distance output. The relationship of distance output is determined by the mechanical force advantage.

Answer 2

Answer:

Concept:

The force amplified by utilizing a tool, mechanical device, or machine system is known as a mechanical advantage.

Explanation:

Humans can do jobs with a lot less effort because to mechanical advantages, but they must always adhere to the conservation of energy. When analyzing the forces in simple machines like levers and pulleys, mechanical advantage—a measure of the ratio of output force to input force in a system—is utilized.

Given:

The hydraulic press has when punching holes in a metal sheet with a force of 800N using only 200 N

Find:

Mechanical advantage
Solution:

The formula to find the mechanical advantage is

                                      $M A=\frac{F_{o}}{F_{i}}$

Where  MA is Mechanical Advantage

             $F_{o}$ is output force

              $F_{i}$ is input force

By substituting the values in the formula

                                         MA =    $\frac{200}{800}$

                                         

                                          MA =  $\frac{1}{4}$

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