Question

In operating a water pump a resistance of 480N is overcome by an effort of 72N. If the distance of the fulcrum from the point where the resistance acts is 0.2m, find the distance from the fulcrum where the effort is applied?

Answer 1

Dear Student,

$$\begin{gathered} \mathrm{Load}=480\mathrm{N} \\ \mathrm{Effort}=72\mathrm{N} \\ \mathrm{Distance}\mathrm{of}\mathrm{load}\mathrm{arm}\mathrm{from}\mathrm{fulcrum}=0.2\mathrm{m} \\ \mathrm{Effort}\times \mathrm{distance}\mathrm{of}\mathrm{effort}\mathrm{from}\mathrm{fulcrum}=\mathrm{load}\times \mathrm{Distance}\mathrm{of}\mathrm{load}\mathrm{arm}\mathrm{from}\mathrm{fulcrum} \\ 72\times \mathrm{D}=480\times 0.2 \\ \mathrm{D}=\frac{480\times 0.2}{72}=1.33\mathrm{m} \end{gathered}$$