The area of cross section of the rope used to lift a load by a crane is $2.5 \times 10^{- 4} m^{2}$ . The maximum lifting capacity of the crane is $10$ metric tons. To increase the lifting capacity of the crane to 25 metric tons, the required area of cross section of the rope should be
(take $g = 10 {ms}^{- 2}$ )

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TestHub · Accepted Answer

Since breaking stress (Maximum lifting capacity) is the property of material, so it will remain same.
Now, breaking stress $= \frac{Maximum lifting capacity}{Area of cross section of rope}$
$\Rightarrow \frac{10}{2.5 \times 10^{- 4}} = \frac{25}{A}$
$A = 625 \times 10^{- 6}$
$= 6.25 \times 10^{- 4} m^{2}$

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