A machine has an efficiency of \(60 \%\). If the machine applied a force of \(2000 N\) to overcome a load of \(5000 N\), calculate the velocity ratio of the machine.
A. 2.4 B. 3.3 C. 4.2 D. 5.5
Correct Answer: C
Explanation
Given: \(e=60 \%\), effort \(=2000 N\) \(L=5000 N\), required \(V R=\) ?orrelating equations: $$ \begin{aligned} e &=\frac{M A}{V R} \times 100 \% \\ M A &=\frac{\text { Load }}{\text { Effort }}=\frac{5000}{2000}=\frac{5}{2}=2.5 \\ e &=\frac{M A}{V R} \times 100 \% \\ V R &=\frac{M A}{e} \times 100 \% \\ &=\frac{2.5}{60} \times 100=4.2 \end{aligned} $$
