Question

Which description defines the mechanical advantage of a simple lever?

Answer 1

The  mechanical advantage of a simple lever is C.  the ratio of the length of the effort arm to the length of the load arm

Explanation:

There are two types of mechanical advantage for a machine:

• The Ideal Mechanical Advantage (IMA) is the mechanical advantage of the machine if there are no loss of energy due to internal frictions, i.e. if the output work is equal to the input work
• The Actual Mechanical Advantage (AMA) is the real mechanical advantage of the machine, taking into account the energy lost due to internal frictional forces

The IMA of a lever can be calculated starting from the assumption that all the input work is transformed into output work with no loss of energy, therefore:

$W_{in}=W_{out}\\F_{in} d_{in} = F_{out} d_{out}$

where

$F_{in},F_{out}$ are the effort and load forces, respectively

$d_{in}, d_{out}$ are the effort and load arm, respectively

The mechanical advantage is a measure of the multiplication factor of the force, so we can write:

$IMA=\frac{F_{out}}{F_{in}}=\frac{d_{in}}{d_{out}}$

Therefore, the correct answer is

C.  the ratio of the length of the effort arm to the length of the load arm

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