Question 12 Marks
A block and tackle system has 5 pulleys. If an effort 0f 1000 N is needed in the downward direction to raise a load of 4500 N, calculate:
(a) the mechanical advantage
(b) the velocity ratio, and
(c) the efficiency of the system
(a) the mechanical advantage
(b) the velocity ratio, and
(c) the efficiency of the system
Answer
View full question & answer→A block and tackle system has 5 pulleys. $(n=5)$
$
\begin{aligned}
& \text { Effort }=1000 N \\
& \text { Load }=4500 N
\end{aligned}
$
(a) The mechanical advantage M.A $=\frac{\text { load }}{\text { effort }}=\frac{4500}{1000}=4.5$
(b) The velocity ratio $=n=5$
(c) The efficiency of the system $\eta=\frac{M \cdot A}{V \cdot R}=\frac{4.5}{5}=0.9$ or $90 \%$
$
\begin{aligned}
& \text { Effort }=1000 N \\
& \text { Load }=4500 N
\end{aligned}
$
(a) The mechanical advantage M.A $=\frac{\text { load }}{\text { effort }}=\frac{4500}{1000}=4.5$
(b) The velocity ratio $=n=5$
(c) The efficiency of the system $\eta=\frac{M \cdot A}{V \cdot R}=\frac{4.5}{5}=0.9$ or $90 \%$






