Question

VR of simple machine is greater then MA . why?

Answer 1

Answer:

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Answer 2

Answer:

Why is a mechanical advantage less than the velocity ratio?

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“Why is the mechanical advantage less than the velocity ratio?”

This follows from the law of conservation of energy. If energy is conserved, we can never get more energy out of a system than we put in. We can never get more work done by the load than the work done by the effort.

The efficiency of the system is given by:

efficiency = useful work done by the load / total work done by the effort

So the efficiency of a system can never be more than 1 (100%).

In a simple machine, like a lever, the velocity ratio (VR) is a ratio of the distances moved by the two forces:

VR = distance moved by the effort / distance moved by the load

The mechanical advantage (MA) is a ratio of forces:

MA = load / effort

Considering work done:

The work done by the effort = effort x distance moved by the effort

The work done by the load = load x distance moved by the load

Combining the equations above we get:

efficiency of the system = (load x distance moved by load) / (effort x distance moved by effort)

Rearranging:

load / effort = efficiency x (distance moved by the effort / distance moved by the load)

or: MA = efficiency x VR

So: efficiency = MA / VR

As we have said, efficiency can never be greater than 1, so the ratio MA / VR can never be greater than 1, and in practice MA is less than VR.

I hope I have made this clear. If there are terms you are not familiar with, look them up first, but please comment to ask questions or to let me know how the answer could be improved.