Chapter 4.1, Problem 8PP

To determine

To calculate: the mechanical advantage of the hammer.

Answer to Problem 8PP

The mechanical advantage of the hammer is $\underset{\_}{16}$ .

Explanation of Solution

Given data:

Input force, $F_{in}=125\text{ N}$

Output force, $F_{out}=2000\text{ N}$

Formula used:

Mechanical Advantage Equation:

  $MA=\frac{F_{out}}{F_{in}}$

Where $MA$ is the mechanical advantage of the machine, $F_{in}$ is the input force in newton and $F_{out}$ is the output force in newton.

Calculation:

As per the problem,

  $\begin{array}{l}{F}_{in}=125\text{ N}\\ F_{out}=2000\text{ N}\end{array}$

Substitute the values of input and output force in the mechanical advantage equation:

$\begin{array}{l}MA=\frac{F_{out}}{F_{in}}\\ MA=\frac{2000\text{ N}}{125\text{ N}}\\ MA=16\end{array}$

As mechanical advantage is ratio of input and output forces, it has no unit.

Conclusion:

The mechanical advantage of the hammer is $\underset{\_}{16}$ .