Physics

In a block and tackle system consisting of 3 pulleys, a load of 75 kgf is raised with an effort of 25 kgf.
Find —
(i) the mechanical advantage,
(ii) the velocity ratio, and
(iii) the efficiency.

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Given,

Effort = 25 kgf

Load = 75 kgf

As we know that,

$M.A. = \dfrac{\text{Load}}{\text{Effort}} \\[0.5em]$

Substituting the values in the formula we get,

$M.A. = \dfrac{75}{25} \\[0.5em] M.A. = \dfrac{3}{1} \\[0.5em] \Rightarrow M.A. = 3 \\[0.5em]$

As we know,

V.R. = n = 3

$\eta = \dfrac{M.A.}{V.R.} \\[0.5em] \eta = \dfrac{3}{3} \\[0.5em] \Rightarrow\eta = 1 \\[0.5em]$

Therefore, efficiency = 100%

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