Based on the calculations, the efficiency of the crane is equal to 60%.
Given the following data:
To calculate the efficiency of the crane:
Mathematically, the efficiency of an object is given by this formula:
[tex]Efficiency = \frac{Out\;power}{In\;power} \times 100[/tex]
Next, we would determine the work done by the crane by using this formula:
[tex]Work\;done= weight \times height\\\\Work\;done=1000 \times 3.0[/tex]
Work done = 3000 J
For the output power:
[tex]Out\;power = \frac{work\;done}{time} \\\\Out\;power = \frac{3000}{10}[/tex]
Output power = 300 J/s.
Substituting the parameters into the formula, we have:
[tex]Efficiency = \frac{300}{500}\times 100\\\\Efficiency = 0.6 \times 100[/tex]
Efficiency = 60%.
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