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Question: The lifting capacity of a crane is 10 metric ton. How thick should the steel rope be ? (Yield stren...

The lifting capacity of a crane is 10 metric ton. How thick should the steel rope be ?

(Yield strength of steel

A

1 m

B

1 mm

C

1 cm

D

0.1 cm

Answer

1 cm

Explanation

Solution

: Here, M = 10 metric ton

=10×103 kg= 10 \times 10 ^ { 3 } \mathrm {~kg}

=104 kg= 10 ^ { 4 } \mathrm {~kg}

If r be the radius of the rope used in the crane, then

Yield strength

∴r2=Mgπ Yieldstrength \therefore \mathrm { r } ^ { 2 } = \frac { \mathrm { Mg } } { \pi \text { Yieldstrength } }