Question
Download Solution PDFA certain weight lifting machine of velocity ratio 30 can lift a load of 1500 N with the help of 125 N effort. The efficiency of the machine is _______.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Mechanical Advantage:
- In a simple machine when the effort(P) balances a load (W), the ration of the load to the effort is called MA.
- \(M.A = \frac{{Load}}{{Effort}} = \frac{W}{P}\)
Velocity Ratio:
- It is the ratio between the distance moved by the effort to the distance moved by the load.
- \(V.R = \frac{{distance\;moved\;by\;the\;effort\;\left( {{d_P}} \right)}}{{distance\;moved\;by\;the\;load\;\left( {{d_w}} \right)}}\)
Efficiency:
- It is the ratio of output to input. In a simple mechanism, it is also defined as the ratio of mechanical advantage to the velocity ratio.
- \(\eta = \frac{{Output}}{{Input}} = \frac{{M.A}}{{V.R}}\)
Calculation:
Given:
Load, W = 1500 N, Effort, P = 125 N, V.R = 30
\(M.A = \frac{W}{P} = \frac{1500}{125} = 12\)
\(\eta = \frac{{M.A}}{{V.R}}= \frac{{12}}{{30}}=40\%\)
Last updated on May 19, 2025
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