Question

What is the relationship between the mechanical advantage and the velocity ratio for an ideal machine?

Answer 1

The efficiency in terms of mechanical advantage and velocity ratio is,

$Efficiency=\frac{Workdone\left(output\right)}{Workdone\left(input\right)}\times 100\%=\frac{Mechanicaladvantage}{Velocityratio}\times 100\%$

1. For an ideal machine, work output is equal to the work input, so the efficiency is equal to $100\%$.
2. From the formula of efficiency, the mechanical advantage $\left(\mathrm{MA}\right)$ is numerically equal to the velocity ratio $\left(\mathrm{VR}\right)$
3. Thus, for an ideal machine, $\mathrm{MA}=\mathrm{VR}$.