A wheel and axle is used to raise a weight of \(600 N\) with an effort of \(300 N\). If the radii of the wheel and axle are \(50 cm\) and \(10 cm\) respectively, what is the efficiency of the system?
A. \(40 \%\) B. \(50 \%\) C. \(20 \%\) D. \(10 \%\)
Correct Answer: A
Explanation
Given data: Weight \(/\) load \(=600 N\), effort \(=300 N\) Radius of wheel a \(=50 cm\), radius of axle \(=10 cm\) velocity ratio \(=\frac{2 \pi a}{2 \pi h}=\frac{a}{b}=\frac{50}{10}=5\) $$ \begin{aligned} \text { M.A } &=\frac{\text { Load }}{\text { effort }} \times 100 \% \\ e &=\frac{2}{5} \times 100 \%=40 \% \end{aligned} $$
