A circular shaft subjected to torsion undergoes a twist of 1° in a length of 120 cm. if the maximum shear stress induced is limited to 1000 kg/cm2 and of modulus of rigidity G= 0.8 × 106 kg/cm2, then the radius of the shaft should be

1
\(\frac{\pi }{18}\)
2
\(\frac{\pi }{27}\)
3
\(\frac{18}{\pi }\)
4
\(\frac{27}{\pi }\)

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