Question

The relationship between the mechanical advantage (MA), the velocity ratio (VR) and the efficiency (n) is:

• A. M.A = $n\times V.R$
• B. V.R. = $n\times M.A$
• C. n= $M.A\times V.R$
• D. M.A = $n^2\times V.R$

Answer 1

The correct option is A

M.A = $n\times V.R$

We know, Efficiency (n) = $\frac{Workoutput}{Workinput}$

Now, work output = Load (L) $\times$ displacement $\left(d_L\right)$

Work input = Effort (E) $\times$ displacement $\left(d_E\right)$

$\Rightarrow n=\frac{L\times d_L}{E\times d_E}=\frac{L}{E}\times \frac{1}{\frac{d_E}{d_L}}$
Also, we know $M.A.=\frac{L}{E}andVR=\frac{d_E}{d_L}\Rightarrow n=\frac{M.A}{VR}orMA=n\times V.R$